Question

Let x be a continuous random variable with a uniform distribution. x can take on values between x=20 and x=54. Compute the probability, P(26<x<39).

P(26<x<39)=    ? (Give at least 3 decimal places)

Let x be a continuous random variable with a uniform distribution. x can take on values between x=13 and x=52. Compute the probability, P(27<x<36).

P(27<x<36)= ? (Give at least 3 decimal places)

Answer 1

Solution :

Given that,

a = 20

b = 54

P(c < x < d) = (d - c) / (b - a)

P(26 < x < 39) = (39 - 26) / (54 - 20) = 13 / 34 = 0.3823

Solution :

Given that,

a = 13

b = 52

P(27 < x < 36) = (36 - 27) / (52 - 13) = 9 / 39 = 0.2308