What is P(X > −1) if (a) X has a Uniform distribution on the interval (−2,...

What is P(X > −1) if (a) X has a Uniform distribution on the interval (−2, 2). (b) if X has a Normal distribution with µ = −2 and σ = 2.What is P(X > −1) if

(a) X has a Uniform distribution on the interval (−2, 2).

(b) if X has a Normal distribution with µ = −2 and σ = 2.

Solutions

Expert Solution

a) X ~ U(-2 , 2)

P(X < x) = (x - (-2)) / (2 - (-2))

P(X > -1) = 1 - P(X < -1) = 1 - [(-1 - (-2)) / (2 - (-2))] = 1 - 1/4 = 0.75

= P(Z > 0.5)

= 1 - P(Z < 0.5)

= 1 - 0.6915

= 0.3085

orchestra answered 1 year ago

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