Question

For each probability and percentile problem, draw the picture.
The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 12 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.

A) What is the probability that the speed of a car is at most 27 mph? (Enter your answer as a fraction.)

B) What is the probability that the speed of a car is between 16 and 24 mph? (Enter your answer as a fraction.)

C) Draw the picture and find the probability. (Enter your answer as a fraction.)

D) Find the 90th percentile. This means that 90% of the time, the speed is less than ______ mph while passing through the intersection.

E) Find the 65th percentile. This means that 65 % of the time, the speed is less than ________ mph while passing through the intersection.

F) Find the probability that the speed is more than 24 mph given (or knowing that) it is at least 16 mph. (Enter your answer as a fraction.)

Answer 1