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Choose the correct alternative : Given p.d.f. of a continuous r.v.X as f(x) = x23 for –1 < x < 2 = 0 otherwise then F(1) = _______. - Mathematics and Statistics

MCQ

Choose the correct alternative :

Given p.d.f. of a continuous r.v.X as f(x) =  `x^2/(3)` for –1 < x < 2 = 0 otherwise then F(1) = _______.

Options

  • `(1)/(9)`

  • `(2)/(9)`

  • `(3)/(9)`

  • `(4)/(9)`

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Solution

F(1) = P(X ≤ 1)

= `int_(-1)^(1) x^2/(3)*dx`

= `(1)/(3) int_(-1)^(1) x^2*dx`

= `(1)/(9)[x^3]_(-1)^(1)`

= `(2)/(9)`.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Miscellaneous Exercise 8 | Q 1.06 | Page 153
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