Question

Suppose that a certain random variable, X, has the following cumulative distribution function (cdf):

F(x) = 0 x < 2

  0.25x2 – x + 1 2 ≤ x ≤ 4

1 4 < x

Find P(X > 2.5) (Round your answer to 4 decimal places)

  

Answer 1

answer:

given data from the question is,

the certain data randomly variable x is,

F(x) 0 x < 2

  0.25x2 – x + 1 2 ≤ x ≤ 4

1 4 < x

to find the probability ( X > 2.5) is ,.....

the given data cdf based to the this are write as the,

P(X<x) 0.25x2-x+1

now the probability is as the writes,

P(X>2.5)

now this are as the probability is the

1-P(X<2.5)

  1-(0.252.52-2.5+1) ( here the value of the (0.252.52-2.5+1) is the 0.0625

0.9375

0.9375

so finally the probability of the ( x 2.5 ) is the 0.9375

0.9375