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Let X denote the number of hours you stu...

Let `X` denote the number of hours you study during a randomly selected school day. The probability that `X` take the values of `x` has the following form, where `k` is some unknown constant. `P(X=x)={(0.1 "if" x=0),(kx, "if" x=1 "or"2),(k(5-x),"if"x=3"or"4),(0,"otherwise"):}`
Find:
(i) `k`
(ii) the probability that you study exactly two hours,
(iii) the probability that you study at most two hours.

Text Solution

Verified by Experts

The correct Answer is:
(i) 0.15 (ii) 0.30 (iii) 0.55
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