Question: 7. The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with

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

a. Determine the pdf of X and sketch the corresponding density curve.

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 mean time? [Hint: Identify 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?

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