A company's marketing department claims that the number of orders that are placed using their e-commerce store has a Poisson distribution with mean of 3.5 orders per minute. Let X be the number of orders in 1 minute. Let Y be the number of orders in 5 minutes. If the claim of a mean of 3.5 orders per minute is true a. What is P(X <=3)? b. What is the variance for X? c. What is the mean and standard deviation for Y?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A company's marketing department claims that the number of orders that are placed using their
e-commerce store has a Poisson distribution with mean of 3.5 orders per minute. Let X be the number of
orders in 1 minute. Let Y be the number of orders in 5 minutes. If the claim of a mean of 3.5 orders per
minute is true
a. What is P(X <=3)?
b. What is the variance for X?
c. What is the mean and standard deviation for Y? 

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