The number of clients a store has during a week is Poisson distributed with mean A = 25. The amount of money spent by each client follows a random variable with moment generating function o(t) = e1,000t+250t². Assuming the independence between the number of clients, and the amount of money spent by each client. Find the mean and variance of the amount of money received by the store every week.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The number of clients a store has during a week is Poisson distributed with
- 25. The amount of money spent by each client follows a random
= el,000t+250t2. Assuming the
mean A
variable with moment generating function o(t)
independence between the number of clients, and the amount of money spent
by each client.
Find the mean and variance of the amount of money received by the store every
week.
Transcribed Image Text:The number of clients a store has during a week is Poisson distributed with - 25. The amount of money spent by each client follows a random = el,000t+250t2. Assuming the mean A variable with moment generating function o(t) independence between the number of clients, and the amount of money spent by each client. Find the mean and variance of the amount of money received by the store every week.
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