The time X (min) for a laboratory assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B = 35.

a. Write the pdf of X and sketch its graph.
b. What is the probability that preparation time exceeds 33 min?
c. What is the probability that preparation time is within 2 min of the median time? Identify μ(∼) from the graph of f(x).

d. For any a such that 25 < a < a + 2 < 35, what is the probability that preparation time is between a and a + 2 min?