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Probability of Gasoline Sales A certain gas station sells X thousand gallons of gas each week. Suppose that the cumula- tive distribution function for X is F(x) = 1 – {(2 – x)², 0

Probability of Gasoline Sales A certain gas station sells X thousand gallons of gas each week. Suppose that the cumula- tive distribution function for X is F(x) = 1 – {(2 – x)², 0

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Probability of Gasoline Sales A certain gas station sells X thousand gallons of gas each week. Suppose that the cumula- tive distribution function for X is F(x) = 1 – {(2 – x)², 0<x< 2. (a) If the tank contains 1.6 thousand gallons at the begin- ning of the week, find the probability that the gas station will have enough gas for its customers throughout the week. (b) How much gas must be in the tank at the beginning of the week to have a probability of .99 that there will be enough gasoline for the week? (c) Compute the density function for X.
Transcribed Image Text:Probability of Gasoline Sales A certain gas station sells X thousand gallons of gas each week. Suppose that the cumula- tive distribution function for X is F(x) = 1 – {(2 – x)², 0<x< 2. (a) If the tank contains 1.6 thousand gallons at the begin- ning of the week, find the probability that the gas station will have enough gas for its customers throughout the week. (b) How much gas must be in the tank at the beginning of the week to have a probability of .99 that there will be enough gasoline for the week? (c) Compute the density function for X.
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