A small petrol station is supplied with petrol once a week. Assume that its volume X of potential sales (in units of 10, 000 litres) has the probability density function f(r) = 6(r - 2)(3- 1) for 2 < I< 3 and f(x) = 0 otherwise. Determine the mean and the variance of this distribution. What capacity must the tank have for the probability that the tank will be emptied in a given week to be 5%?

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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A small petrol station is supplied with petrol once a week. Assume that its volume X of potential sales
(in units of 10, 000 litres) has the probability density function f(r) = 6(x - 2)(3 - ) for 2 < I<3
and f(x) = 0 otherwise. Determine the mean and the variance of this distribution. What capacity
must the tank have for the probability that the tank will be emptied in a given week to be 5%?
Transcribed Image Text:A small petrol station is supplied with petrol once a week. Assume that its volume X of potential sales (in units of 10, 000 litres) has the probability density function f(r) = 6(x - 2)(3 - ) for 2 < I<3 and f(x) = 0 otherwise. Determine the mean and the variance of this distribution. What capacity must the tank have for the probability that the tank will be emptied in a given week to be 5%?
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