Question

The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 14 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.What is the probability that the speed of a car is between 17 and 23 mph?

Answer 1

28.57% probability that the speed of a car is between 17 and 23 mph

Explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula:

`P(c \leq X \leq d) = (d - c)/(b - a)`

14 to 35 mph and is uniformly distributed.

This means that
`a = 14, b = 35`

What is the probability that the speed of a car is between 17 and 23 mph?

`P(c \leq X \leq d) = (d - c)/(b - a)`

`P(17 \leq X \leq 23) = (23 - 17)/(35 - 14) = 0.2857`

28.57% probability that the speed of a car is between 17 and 23 mph