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Find k if the function f(x) is defined b...

Find k if the function f(x) is defined by
`f(x)=kx(1-x),"for "0ltxlt1`
=0 , otherwise, is the probability density function (p.d.f.) of a random varible (r.v) X. Also find P `(Xlt(1)/(2))`

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Verified by Experts

The correct Answer is:
`k 6,P(X lt (1)/(2)) =0.5`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-PROBABILITY DISTRIBUTION-EXAMPLE FOR PRACTICE
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  2. Find the probability distribution of the number of sixes in three t...

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  3. It is know that a box of 8 batteries contains 3 defective pieces an...

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  4. Two cards are drawn successively with replacement from a well shuffled...

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  5. The probability distrubtion of a discrete random variable X is as ...

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  6. Obtain the expected value and variance of X for the following proba...

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  7. A r.v X has the following probability distribution: Find the ...

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  8. The probability mass funciton (p.m.f) of X is given below : Find ...

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  9. A player tosses 2 fair coins. He wins 5 if 2 heads apper , 2if 1 hea...

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  10. Find k so that the function f(x) defined by f(x) = ke^(-3x), x gt 0...

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  11. Find k, if the function f defined by f(x) = kx, 0 lt x lt 2 =0 , o...

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  12. The p.d.f of a random variable X is given by f(x) = 3(1-2x^(2)), 0 lt...

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  13. Let X = amount of time for which a book is taken out of a collag...

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  14. Find k if the function f(x) is defined by f(x)=kx(1-x),"for "0ltxlt1...

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  15. The following is the p.d.f of continuous random variable X. f(x) = (x)...

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  16. The following is the p.d.f of continuous random variable X. f(x) = (x)...

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  17. Given the p.d.f of a continous r.v.X was f(x) = (x^(2))/(3), - 1 l...

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  18. The following is the p.d.f (Probability Density Function ) of a con...

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  19. The following is the p.d.f (Probability Density Function ) of a con...

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  20. Show that the function f(x) defined by .f(x) = (1)/(7), for 1 le x le...

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