Question

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 51.3 min.

P(X < 51.3) =
(Report answer accurate to 2 decimal places.)

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.3 and 51.4 min.

P(50.3 < X < 51.4) =

2.) The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 20 minutes.

What is the probability that washing dishes tonight will take me between 17 and 19 minutes?

Give your answer accurate to two decimal places.

Answer 1

Let X is a random variable shows the length of a professor class. Here X has uniform distribution between 50.0 min and 52.0 min. The pdf of X is

The probability that the class length is less than 51.3 min is

The probability that the class length is between 50.3 and 51.4 min is

2)

Let X is a random variable shows the time it takes me to wash the dishes . Here X has uniform distribution between 11 min and 20 min. The pdf of X is

The probability that washing dishes tonight will take me between 17 and 19 minutes is