Question

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Round your answers to 2 decimal places.)

a) P(X<66)
b) P(X<23)
c) P(X=66)

Answer 1

a) P(X<66) = 1 - P(X>66)
= 1 - 0.14
= 0.86

b) P(X<23) = 1 - P(23 ≤ X ≤ 66)
= 1 - 0.25
= 0.75

c) P(X=66) = P(X<66) - P(X<23)
= 0.86 - 0.75
= 0.11