Question 4: A store is supplied with animal feed at the beginning of each month. The monthly demand x in thousand kg for animal feed from this store is a continuous random variable having the probability density function given by: { 2(1 - x), 0

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Question 4:
A store is supplied with animal feed at the beginning of each month. The monthly demand x in thousand
kg for animal feed from this store is a continuous random variable having the probability density function
given by:
{
2(1 – x), 0<x<1
0, otherwise
f(x) =
a.
Find the mean value of x
b. Find the variance of x
Find the quantity of animal in kg that the store must have in stock at the beginning of the month
с.
in order to be 98% certain that the demand in that month will be met.
Transcribed Image Text:Question 4: A store is supplied with animal feed at the beginning of each month. The monthly demand x in thousand kg for animal feed from this store is a continuous random variable having the probability density function given by: { 2(1 – x), 0<x<1 0, otherwise f(x) = a. Find the mean value of x b. Find the variance of x Find the quantity of animal in kg that the store must have in stock at the beginning of the month с. in order to be 98% certain that the demand in that month will be met.
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