Let X denote the amount of time (in hours) that Joe studies for his AMS 311 exam, and assume that the density function of X is given by

Where a is some constant.

a) What is a?

b) What is the probability that Joe studies more than 15 minutes for the exam?

c) Compute E(X)

d) Compute P(0.25 2.2|X > 1)

Transcribed Image Text:

f(x) = { ax 3 4 0 0 f(x) = { ax 3 4 0 0

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