Question

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 4 minutes and 18 minutes. What is the probability that it takes Isabella more than 7 minutes to wait for the bus

Answer 1

0.25 or 25% probability

Explanation:

The lower limit in this question = a

The upper limit = b

P(X<=x) = x-a/b-a

a = 4

b = 8

The question says it is uniformly distributed between 4 minutes and 8 minutes

Probability that it takes her more than 7 minutes to wait for the bus

P(X<=7) + P(X>7)= 1

We are to get P(X>7)

= 1 - (7-4/8-4)

= 1-3/4

= 1-0.75

= 0.25

= 25% probability it takes her more than 7 minutes to wait