5.5. A filling station is supplied with gasoline once a week. f its weekly volume of sales in thousands of gallons is a random variable with probability density function [ 5(1 – x)4 0 < x < 1 otherwise f(x) = what must the capacity of the tank be so that the prob- ability of the supply being exhausted in a given week s .01?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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5.5. A filling station is supplied with gasoline once a week.
If its weekly volume of sales in thousands of gallons is a
random variable with probability density function
|
f(x) =
5(1 – x)4 0 < x < 1
otherwise
what must the capacity of the tank be so that the prob-
ability of the supply being exhausted in a given week
is .01?
Transcribed Image Text:5.5. A filling station is supplied with gasoline once a week. If its weekly volume of sales in thousands of gallons is a random variable with probability density function | f(x) = 5(1 – x)4 0 < x < 1 otherwise what must the capacity of the tank be so that the prob- ability of the supply being exhausted in a given week is .01?
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