Question

Find the expected value

E(X),

the variance

Var(X)

and the standard deviation

σ(X)

for the density function. (Round your answers to four decimal places.)

f(x) =

1

x

on

[1, e]

E(X)	=
Var(X)	=
σ(X)	=

Answer 1

Var(X) = E(X^2) - E(X)^2

= 3.19452 - 1.71828^2

= 0.2420

sd= sqrt(Var(X) = sqrt( 0.2420 ) = 0.491969

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