Question

Suppose scores on an exam were uniformly distributed between 50 and 100. Also suppose those who scored between a 75 and 83 earned a C on the exam. What percent earned a C?

Answer 1

Let X be the random variable denoting the scores on an

exam. Thus, X ~ Unif (50, 100).

The PDF of X is, f(x) = , 50 < x < 100.

P(75 < X < 83) = = = 0.16. (Ans).

Hence, 16% of the students earned C on the exam. (Ans).