8. Let X be the r.v. representing time (in hours) for a student to complete an assignment. The pdf of X is Sax² + x, p(x) = [0, 0 ≤ x ≤ 0.5, others. Determine the value of constant a. b) Find the cdf of X. c) Find the probability that a student completes an assignment in 20 minutes. d) Find the probability that a student spends more than 10 minutes to complete an assignment.

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A: a) P(A1)=47%=0.47 P(A2)=1-0.47=0.53 P(W|A1)=50%=0.5 P(W|A1)=45%=0.45

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