Suppose that f(x) = x/8 for 3 < x < 5. Determine the mean and variance of x.

aortiH

aortiH

Answered question

2021-10-27

Suppose that f(x)=x/8 for 3 < x < 5. Determine the mean and variance of x.

Answer & Explanation

hajavaF

hajavaF

Skilled2021-10-28Added 90 answers

Let the probability density function f of the random variable X be given as:
f(x)=x8,3<x<5
Calculate:
E(X)=18×35x2dx=18×53333=4912
E(X2)==1835x3dx=18×54344=17
Var(X)=17492122=0.33
Result: Mean: 49/12, Variance: 0.33

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