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The following is the p.d.f. of a r.v. X.
f(x) = `{(x/(8), "for" 0 < x < 4),(0, "otherwise."):}`
Find P(x > 2)
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P(X > 2) = `int_2^4 x/(8)`
= `(1)/(8) int_2^4 x * dx`
= `(1)/(16)[x^2]_2^4`
= `(1)/(16)[16 - 4]`
= `(12)/(16)`
= `(3)/(4)`
shaalaa.com
Probability Distribution of a Continuous Random Variable
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