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The following is the p.d.f. of a r.v. X. f(x) = {x8 for 0<x<40 otherwise. Find P(X > 2) - Mathematics and Statistics

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प्रश्न

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)

बेरीज

उत्तर

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)`.

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Probability Distribution of a Continuous Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Probability Distributions - Exercise 8.2 [पृष्ठ १४४]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 8 Probability Distributions
Exercise 8.2 | Q 1.02 | पृष्ठ १४४

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