The number of chocolate chips in a chocolate chip cookie has a Poisson distribution with parameter 2 = 7.3. Suppose that the randomvariable X is the number of chocolate chips in a randomly selected chocolate chip cookie. Let Y be the total number of chocolate chipsin 4 randomly selected chocolate chip cookies. The Poisson distribution is very useful in analyzing phenomena which occur randomlyin space or time..a. For our model, what is expected value of X?b. What is the probability that X = 9?c. What is the probability that X > 9?d. What is the probability that X >8?e. What is the smallest integer value C so at least 93% of chocolate chip cookies have no more than C chocolate chips?f. Y also has a Poisson distribution. What is the parameter λy for Y?g. What is the standard deviation of X?h. What is the probability Y = 29?i. What is the probability that Y < 29?j. What is the probability that X>9 given that X>8?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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