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On 100 different days, a traffic engineer counts the number of cars that pass through a certain intersection between 5P.M. and 5:05 p.M. The results are presented in the following table. Number of Days Number of Cars Proportion of Days 0.36 36 28 0.28 15 0.15 10 0.10 4 0.07 4 0.04 a. Let X be the number of cars passing through the intersection between 5 p.M. and 5:05 P.M. on a randomly chosen day. Someone suggests that for any positive integer x, the probability mass function of X is p,(x) = (0.2)(0.8)*. Using this function, compute P(X = x) for values of x from 0 through 5 inclusive. b. Someone else suggests that for any positive integer x, the probability mass function is P2(x) = (0.4)(0.6)*. Using this function, compute P(X through 5 inclusive. Compare the results of parts (a) and (b) to the data in the table. Which probability mass function appears to be the better model? Explain. d. x) for values of x from 0 %3D C. Someone says that neither of the functions is a good model since neither one agrees with the data exactly. Is this right? Explain.

On 100 different days, a traffic engineer counts the number of cars that pass through a certain intersection between 5P.M. and 5:05 p.M. The results are presented in the following table. Number of Days Number of Cars Proportion of Days 0.36 36 28 0.28 15 0.15 10 0.10 4 0.07 4 0.04 a. Let X be the number of cars passing through the intersection between 5 p.M. and 5:05 P.M. on a randomly chosen day. Someone suggests that for any positive integer x, the probability mass function of X is p,(x) = (0.2)(0.8)*. Using this function, compute P(X = x) for values of x from 0 through 5 inclusive. b. Someone else suggests that for any positive integer x, the probability mass function is P2(x) = (0.4)(0.6)*. Using this function, compute P(X through 5 inclusive. Compare the results of parts (a) and (b) to the data in the table. Which probability mass function appears to be the better model? Explain. d. x) for values of x from 0 %3D C. Someone says that neither of the functions is a good model since neither one agrees with the data exactly. Is this right? Explain.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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On 100 different days, a traffic engineer counts the number of cars that pass through a certain intersection between 5P.M. and 5:05 p.M. The results are presented in the following table. Number of Days Number of Cars Proportion of Days 0.36 36 28 0.28 15 0.15 10 0.10 4 0.07 4 0.04
Transcribed Image Text:On 100 different days, a traffic engineer counts the number of cars that pass through a certain intersection between 5P.M. and 5:05 p.M. The results are presented in the following table. Number of Days Number of Cars Proportion of Days 0.36 36 28 0.28 15 0.15 10 0.10 4 0.07 4 0.04
a. Let X be the number of cars passing through the intersection between 5 p.M. and 5:05 P.M. on a randomly chosen day. Someone suggests that for any positive integer x, the probability mass function of X is p,(x) = (0.2)(0.8)*. Using this function, compute P(X = x) for values of x from 0 through 5 inclusive. b. Someone else suggests that for any positive integer x, the probability mass function is P2(x) = (0.4)(0.6)*. Using this function, compute P(X through 5 inclusive. Compare the results of parts (a) and (b) to the data in the table. Which probability mass function appears to be the better model? Explain. d. x) for values of x from 0 %3D C. Someone says that neither of the functions is a good model since neither one agrees with the data exactly. Is this right? Explain.
Transcribed Image Text:a. Let X be the number of cars passing through the intersection between 5 p.M. and 5:05 P.M. on a randomly chosen day. Someone suggests that for any positive integer x, the probability mass function of X is p,(x) = (0.2)(0.8)*. Using this function, compute P(X = x) for values of x from 0 through 5 inclusive. b. Someone else suggests that for any positive integer x, the probability mass function is P2(x) = (0.4)(0.6)*. Using this function, compute P(X through 5 inclusive. Compare the results of parts (a) and (b) to the data in the table. Which probability mass function appears to be the better model? Explain. d. x) for values of x from 0 %3D C. Someone says that neither of the functions is a good model since neither one agrees with the data exactly. Is this right? Explain.
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