The number of chocolate chips in a chocolate chip cookie has a Poisson distribution with parameter λ = 7.3. Suppose that the random variable X is the number of chocolate chips in a randomly selected chocolate chip cookie. Let Y be the total number of chocolate chips in 4 randomly selected chocolate chip cookies. The Poisson distribution is very useful in analyzing phenomena which occur randomly in 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?

The number of chocolate chips in a chocolate chip cookie has a Poisson distribution with parameter λ = 7.3. Suppose that the random variable X is the number of chocolate chips in a randomly selected chocolate chip cookie. Let Y be the total number of chocolate chips in 4 randomly selected chocolate chip cookies. The Poisson distribution is very useful in analyzing phenomena which occur randomly in 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?

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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Question

The number of chocolate chips in a chocolate chip cookie has a Poisson distribution with parameter = 7.3. Suppose that the random variable X is the number of chocolate chips in a randomly
selected chocolate chip cookie. Let Y be the total number of chocolate chips in 4 randomly selected chocolate chip cookies. The Poisson distribution is very useful in analyzing phenomena which
occur randomly in 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 Ay 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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**Educational Website Transcription:**

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The number of chocolate chips in a chocolate chip cookie follows a Poisson distribution with parameter λ = 7.3. Suppose that the random variable X represents the number of chocolate chips in a randomly selected chocolate chip cookie. Let Y be the total number of chocolate chips in 4 randomly selected chocolate chip cookies. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time.

**Questions:**

a. For our model, what is the expected value of X? [Input box]

b. What is the probability that X = 9? [Input box]

c. What is the probability that X > 9? [Input box]

d. What is the probability that X > 8? [Input box]

e. What is the smallest integer value C so that at least 93% of chocolate chip cookies have no more than C chocolate chips? [Input box]

f. Y also has a Poisson distribution. What is the parameter λₙ for Y? [Input box]

g. What is the standard deviation of X? [Input box]

h. What is the probability Y = 29? [Input box]

i. What is the probability that Y < 29? [Input box]

j. What is the probability that X > 9 given that X > 8? [Input box]

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