Question: A statistics instructor collected data on the time it takes the students to complete a test. The test taking time is uniformly distributed within a range of 35 minutes to 55 minutes.

a. Determine the height and draw this uniform distribution.

b. How long does the typical test taking time?

c. Determine the standard deviation of the test taking time.

d. What is the probability a particular student will take less than 45 minutes?

e. What is the probability a particular student will take between 45 and 50 minutes?