Find the probability that a student finishes between 8 and 10 minutes. Draw and shade the distribution to interpret your results. (g) Find the mean time it takes students to complete the quiz

Question

Suppose the time is takes for 20 statistics students to complete this quiz is uniformly distributed from 0 minutes to 15 minutes

Answer 1

Uniformly distributed means it's the same value between 0 and 15 like this:

Since the probability is 100% that the students will finish the quiz with some time, to find out the value of the probability we take 100%/(15 - 0) = 100/15 = 6 2/3 %

To find the probability that students finished between 8 and 10 minutes we multiply the 6 2/3% by (10 - 8) = (6 2/3 %)(2) = 13 1/3% or 13.33% aka 0.1333