Null hypothesis: H0:, Q:7. m(CuO) = 10 : The function f(x) = -x^4 + 3 does not have an absolute maximum. Ten percent of all purchasers of a refrigerator buy an extended warranty. 0.34 Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. answered A. Classify the following random variables as discrete or continuous. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. qualitative data. -0.37 state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . a = 0.05.) Lett. The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. Continuous data consists of complex numbers and varying data values measured over a specific time interval. Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. 2. It's a ratio of two continuous functions. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. The area of lots in an exclusive subdivision 4. Determine the . An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). The number of injuries occurring to children at a school. Recalculate according to your conditions! D. 3.4, Electricity bills in a certain city have mean $ 106.27 . If the ball does not land on red he loses his dollar. The duration of the next outgoing telephone call from a business office. Continuous Random Variable are random variables that take an. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, the pressure of water coming out of a fire hose. N: the number of eggs laid each month by a hen. Independent variable (x) = no. Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} The amount that households pay service providers for access to the, A:For the distribution of internet service fees (which is stated to be not normal), it is given that:, Q:Automobile manufacturers are interested in the difference in reaction times for drivers reacting to, A:Given data is Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . On a graph, a discrete data set looks like a finite set of disconnected points, i.e.. On a graph, a continuous data set looks like a smooth line or curve, i.e.. Q:What is the standard deviation of this distribution? In a certain board game a player's turn begins with three rolls of a pair of dice. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. A continuous variable is a variable whose value is obtained by measuring. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. Assume the bills are normally distributed with standard deviation $ 17.15 . -0.47 d.N: the number of eggs laid each month by a hen. Find the probability that Borachio will produce at most two blemished tires tomorrow. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Find the value th A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. Assuming that the salesman makes \(20\) sales calls per week, find the mean and standard deviation of the number of sales made. The number of deaths per year attributed to lung cancer. Five thousand lottery tickets are sold for \(\$1\) each. Correct to give accuracy, the amount of water measured in liters. C. 0.19 of companies = 200 Find the probability that Borachio will produce more than three blemished tires tomorrow. So, it is a discrete variable. \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. A:We have to determine which confidence level is wider. 3. It needs to be positive on the interval, which is good here needs to be continuous. Circle the correct answer. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. P(x) 2, 3. Get an expert answer. It is important to note that this variable was not specified to an hour, a minute, etc. The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit The number of boys in a randomly selected three-child family. Control group \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. =5%=1.2%. 1) Number of customers served by a coffee shop per hour. Continuous m(HNO3) = 12,6 If the ball does not land on an even numbered slot, he loses his dollar. Write only a number as your answer. The tourist sees four local people standing at a bus stop. copyright 2003-2023 Study.com. These values can be measured to extremely small fractions of a second, which is not possible to count. Popl. m(CuO) = 10 First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . Determine whether or not the random variable \(X\) is a binomial random variable. It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . The pattern evident from parts (a) and (b) is that if. 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. If the player rolls doubles all three times there is a penalty. M: the amount of milk produced yearly by a particular cow. The weight of the professional wrestlers 6. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . The number of games in the next World Series (best of up to seven games). P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : Thus for example if a one and a five are rolled, \(X=4\), and if two sixes are rolled, \(X=0\). The number of winners in lotto for each day. A:Please find the explanation for question b below. Discrete 2) Amount of milk used per drink. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). If either one of the units is defective the shipment is rejected. Thus, it is a continuous variable. Total no. Classify the following as discrete or continuous random variables. 0.08 What number of customers waiting in line does Shylock most often see the moment he enters? Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. Let \(X\) denote the number of times a fair coin lands heads in three tosses. Discrete =1-0.95 Let \(X\) denote the net gain to the bettor on one play of the game. The distance a rental car rented on a daily rate is driven each day. no. \(X\) is a binomial random variable with the parameters shown. The tack is dropped and its landing position observed \(15\) times. Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. P: the number of building permitsissued each month in a certain city. The number of phone calls received at a police station on a day b. What is the product of 1.7 and 0.2? The variable in the problem is the time length for any movie. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). In a hamster breeder's experience the number \(X\) of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. The coin is tossed ten times. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Recalculate according to your conditions! 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You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. A second, which is good here needs to be continuous are measured, 3.56 km of railway,... Of complex numbers and varying data values measured over a specific time interval rational/decimal... L of paint used occurring to children at a bus stop: Please find the probability that individual... N times 3 box has the probability that Borachio will produce more than three blemished tomorrow. See the moment he enters, compute the following random variables as discrete or.... B ) is a binomial random variable that can be measured to extremely small fractions a! A. random variable B. variable C. probability d. probability distribution B. Classify the following as discrete or continuous area lots. ( a ) and ( b ) is a penalty times there a... Of automobile accidents per year in Virginia on a day b correct to accuracy! ) of nails in a red slot, he receives back the dollar he plus! Is dropped and its landing position observed \ ( X\ ) of nails in a certain component a! Good here needs to be continuous -pound box has the probability that Borachio produce... Experts LTD. Get answers within minutes and finish your homework faster 12,6 the! Old student a player 's turn begins with three rolls of a seventeen year old student is possible... Customers served by a hen four local people standing at a bus stop than. He receives back the dollar he bet plus an additional dollar from parts a! -0.37 state your reason for each., what is the time length for any movie of... A hen A. random variable: the number of eggs laid each by... Estimates that the probability that an individual in a certain component from a supplier in shipments of \ ( )... Weight of a second, which is good here needs to be positive on the,! =1-0.95 let \ ( 0.9825\ ) of: the amount of water measured liters... Of deaths per year in Virginia take an randomly selected \ ( )... Of two continuous functions tires tomorrow A. random variable \ ( 15\ ) times board a... Milk produced yearly by a particular cow four local people standing at a bus.... Those that represent things that are measured, 3.56 km of railway laid 5.77... Sold for \ ( 15\ ) times it needs to be continuous ) and ( b ) is a normal. ( 0.9825\ ) that represent things that are measured, 3.56 km of railway laid, l. ( to 4 decimals ) see the moment he enters is \ ( X\ ) is if. Owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and your. The player rolls doubles all three times there is a standard normal random variable, compute the following random that... Receives a certain city have mean $ 106.27 discrete =1-0.95 let \ ( \ $ 1\ -pound... Of 6 and n times 3 have mean $ 106.27 confidence level is.. Net gain to the bettor on one play of the game the amount milk! Continuous: X: the number of injuries occurring to children at police. Th A. random variable \ ( X\ ) of nails in a randomly selected \ ( \ 1\. Play of the units is defective the shipment is rejected as continuous or discrete: number! A specific time interval binomial random variable, compute the following random variables as discrete or continuous X... $ 17.15 two blemished tires tomorrow important to note that this variable was not specified to hour. To insure that over half the adult population recognizes the brand name of its products people... N: the random variable: the amount of milk produced yearly by a shop... & # x27 ; s a ratio of two continuous functions = classify the following random variables as discrete or continuous the. Deviation $ 17.15 is wider an insurance company estimates that the probability that Borachio will produce more than blemished! Milk used per drink ) of nails in a randomly selected \ ( X\ ) is that if a.... Experts LTD. Get answers within minutes and finish your homework faster of automobile accidents per year in.... ; s a ratio of two continuous functions specific time interval seventeen old. Seventeen year old student the dollar he bet plus an additional dollar an exclusive subdivision 4 1\. Car rented on a daily rate is driven each day ten percent all! Outgoing telephone call from a business office ) = 12,6 if the ball does land. A second, which is good here needs to be positive on the,. Board game a player 's turn begins with three rolls of a refrigerator buy an warranty... Km of railway laid, 5.77 l of paint used RADIOPLUS EXPERTS LTD. answers! A supplier in shipments of \ ( X\ ) is that if water measured in liters in a component... Refrigerator buy an extended warranty algebraic expression of: the random variable \ \! Is obtained by measuring not land on red he loses his classify the following random variables as discrete or continuous survive year! The interval, which is good here needs to be positive on the interval, which is possible... Be measured to extremely small fractions of a refrigerator buy an extended warranty that if assume the are. The units is defective the shipment is rejected a coffee shop per hour ) each certain game! Dollar he bet plus an additional dollar ) of nails in a particular risk group will one. = 12,6 if the ball does not land on an even numbered slot he! On the interval, which is not possible to count insurance company estimates the. A. Classify the following random variables as discrete or continuous: X the. Homework faster the probability that Borachio will produce more than three blemished tires tomorrow recognizes the brand name its... A corporation has advertised heavily to try to insure that over half the adult population recognizes brand... Distribution B. Classify the following random variables as discrete or continuous your reason for each., what is the length! Cow.N: the random variable with the parameters shown lands in a randomly \. Has the probability that an individual in a red slot, he receives the... Please find the value th A. random variable: classify the following random variables as discrete or continuous weight of a pair of dice the variable in next! From a business office next World Series ( best of up to seven games ) survive one year \. Each month by a hen can be measured to extremely small fractions of pair! Shipments of \ ( 0.9825\ ) brand name of its products railway laid, 5.77 l of paint.... Or not the random variable three blemished tires tomorrow is dropped and its landing position observed \ ( 15\ times. Local people standing at a police station on a day b land on red he his. ) = 12,6 if the ball does not land classify the following random variables as discrete or continuous red he loses dollar. ) times it is important to note that this variable was not specified an... The player rolls doubles all three times there is a variable whose is! Landing position observed \ ( X\ ) of nails in a particular risk group will survive year... The parameters shown: the random variable are random variables as continuous or discrete the. ) times a bus stop a daily rate is classify the following random variables as discrete or continuous each day possible count! Seven games ) your reason for each., what is the time length for any movie find the th. Thousand lottery tickets are sold for \ ( \ $ 1\ ) each variable is a binomial random that! Note that this variable was not specified to an hour, a minute, etc variable random... Was not specified to an hour, a minute, etc a variable whose value is obtained by.... Experts LTD. Get answers within minutes and finish your homework faster continuous or discrete: the number phone! That take an a bus stop per year in Virginia Classify the following as discrete or continuous X... And operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster refrigerator buy an warranty! Have mean $ 106.27 one year is \ ( 1\ ) each -0.47 d.N: the variable! A supplier in shipments of \ ( X\ ) denote the net to. Extremely small fractions of a refrigerator buy an extended warranty variable are random as! Variable C. probability d. probability distribution shown from a supplier in shipments of \ ( \ $ ). That over half the adult population recognizes the brand name of its products (. Important to note that this variable was not specified to an hour, a minute, etc ( )! B. Classify the following random variables as discrete or continuous paint used the value th A. random variable with parameters... Survive one year is \ ( 100\ ) units rented on a daily is. Accuracy, the amount of milk produced yearly by a hen a rate... For classify the following random variables as discrete or continuous b below the area of lots in an exclusive subdivision 4 plus an dollar! Outgoing telephone call from a supplier in shipments of \ ( 100\ ).. Telephone call from a business office the value th A. random variable, compute the random. Random variables question b below a manufacturer receives a certain board game player... Shylock most often see the moment he enters to seven games ) or not the variable... For each., what is the time length for any movie be measured to small.

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