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Let X denotes the number of hours you st...

Let X denotes the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where is some unknown. constant.
`P(x)={:{(0.1,if x=0),(k x,if x=1 or 2),(k(5-x),if x=3 or 4),(0,"otherwise"):}`
what is the probability that you study
(a) atleast 2 h
(b) exactly 2 h
(c ) atmost 2 h

Text Solution

Verified by Experts

The correct Answer is:
(i) `k = 0.15`
(ii)(a) `P(X = 2) + P(X = 3) + P(X = 4)`
(ii)(b) `0.3`
(ii)(c) `0.55`
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