Suppose that f (x) = 0.5 cos x for ? ?? 2 < x < ?? 2.

QUESTION:

Suppose that \(f(x)=0.5\) cos x for − \(\pi / 2<x<\pi / 2\). Determine the following:

(a) \(P(X<0)\)                 (b) \(P(X<-\pi / 4)\)                 (c) \(P(-\pi / 4<X<\pi / 4)\)

(d) \(P(X>-\pi / 4)\)         (e) x such that \(P(X<x)=0.95\)

Equation transcription:

Text transcription:

f(x)=0.5

pi / 2<x<pi / 2

P(X<0)

P(X<-pi / 4)

P(-pi / 4<X<pi / 4)

P(X>-pi / 4)

P(X<x)=0.95