Suppose that Determine the following:

QUESTION:

Suppose that \(f(x)=0.5 x-1\) for \(2<x<4\). Determine the following:

(a) \(P(X<2.5)\)                 (b) \(P(X>3)\)                 (c) \(P(2.5<X<3.5)\)

(d) Determine the cumulative distribution function of the random variable.

(e) Determine the mean and variance of the random variable.

Equation transcription:

Text transcription:

f(x)=0.5 x-1

2<x<4

P(X<2.5)

P(X>3)

P(2.5<X<3.5)