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The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. Suppose the number X, of students walking out the 11th Avenue door of JJC in any one-hour period can be modeled as a Poisson random variable with parameter i = 5. Let Y be the number of students walking out the 11th Avenue door of JJC in any two-hour period. Y can also be modeled as a Poisson random variable.. a. For our model, what is expected value of X? b. What is the probability that X = 4? c. What is the probability that X < 4? d. What is the probability that X > 4 e. What is the probability that X 9 f. Y also has a Poisson distribution. What is the parameter Ay for Y? g. What is variance of X? h. What is the standard deviation of X? i. What is the probability that Y = 9 j. What is the probability that Y < 9?

The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. Suppose the number X, of students walking out the 11th Avenue door of JJC in any one-hour period can be modeled as a Poisson random variable with parameter i = 5. Let Y be the number of students walking out the 11th Avenue door of JJC in any two-hour period. Y can also be modeled as a Poisson random variable.. a. For our model, what is expected value of X? b. What is the probability that X = 4? c. What is the probability that X < 4? d. What is the probability that X > 4 e. What is the probability that X 9 f. Y also has a Poisson distribution. What is the parameter Ay for Y? g. What is variance of X? h. What is the standard deviation of X? i. What is the probability that Y = 9 j. What is the probability that Y < 9?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. Suppose the number X, of students walking out the 11th Avenue door of JJC in any one-hour period can be modeled as a Poisson random variable with parameter i = 5. Let Y be the number of students walking out the 11th Avenue door of JJC in any two-hour period. Y can also be modeled as a Poisson random variable. . a. For our model, what is expected value of X? b. What is the probability that X = 4? c. What is the probability that X < 4? d. What is the probability that X > 4 e. What is the probability that X = 9 f. Y also has a Poisson distribution. What is the parameter Ay for Y? g. What is variance of X? h. What is the standard deviation of X? i. What is the probability that Y = 9 j. What is the probability that Y < 9?
Transcribed Image Text:The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. Suppose the number X, of students walking out the 11th Avenue door of JJC in any one-hour period can be modeled as a Poisson random variable with parameter i = 5. Let Y be the number of students walking out the 11th Avenue door of JJC in any two-hour period. Y can also be modeled as a Poisson random variable. . a. For our model, what is expected value of X? b. What is the probability that X = 4? c. What is the probability that X < 4? d. What is the probability that X > 4 e. What is the probability that X = 9 f. Y also has a Poisson distribution. What is the parameter Ay for Y? g. What is variance of X? h. What is the standard deviation of X? i. What is the probability that Y = 9 j. What is the probability that Y < 9?
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