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The probability density function of X is...

The probability density function of X is given by `f(x)={{:(ke^(-x/3), "for " x gt 0), (0, "for " x le 0):}`
Find
`P(5 le X)`

Text Solution

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The correct Answer is:
(i) `k= 1//3` (ii) `F(x)={{:(-e^(-x // 3),",","for" x gt 0),(0,",","for" x le 0):}` , (iii) `1-e^(-1)` (iv) `e^(-5)/(3)-e^(x)/(3)` and (v) `1- e^(-4)/(3)`
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