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प्रश्न
The probability density function of X is given by
`f(x) = {(k"e"^(- x/3), "for" x > 0),(0,"for" x ≤ 0):}`
Find P(X ≤ 4)
उत्तर
P(X ≤ 4) = `int_oo^4 (x) "d"x`
= `k int_0^4 "e"^((-x)/3) "d"x`
`1/3["e"^((-x)/3)/((-1)/3)]_0^4`
= `- ("e"^((-4)/3) - 1)`
= `1 - "e"^((-4)/3)`
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