The daily demand x for water (in millions of gallons) in a town is a random variable with the probability density function (x) = xe 5, [0, ). -x/5, -хе (a) Find the mean and standard deviation of the demand. (Round your standard deviation to three decimal places.) | mean standard deviation (b) Find the probability that the demand is greater than 7 million gallons on a given day. (Round your answer to three decimal places.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The daily demand x for water (in millions of gallons) in a town is a random variable with the probability density function
(x) = xe 5, [0, ).
-x/5,
-хе
(a) Find the mean and standard deviation of the demand. (Round your standard deviation to three decimal places.)
|
mean
standard deviation
(b) Find the probability that the demand is greater than 7 million gallons on a given day. (Round your answer to three decimal places.)
Transcribed Image Text:The daily demand x for water (in millions of gallons) in a town is a random variable with the probability density function (x) = xe 5, [0, ). -x/5, -хе (a) Find the mean and standard deviation of the demand. (Round your standard deviation to three decimal places.) | mean standard deviation (b) Find the probability that the demand is greater than 7 million gallons on a given day. (Round your answer to three decimal places.)
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