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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