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A random variable X has the following pr...

A random variable X has the following probability distribution:

Determine `(i) k, (ii) P(X lt 3) ,(iii) P(0 lt X lt 3), (iv) P (X gt 4)`.

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The correct Answer is:
i) k = 1/10 ii ) 3/10 III) 3/10 IV ) 1/5
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-Part II PROBABILITY DISTRIBUTIONS (Solve the following)
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  2. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bu...

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  3. Find the expected value and variance of X using the following p.m. f.

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  4. Find the mean number of heads in three tosses of a fair coin.

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  5. Two dice are thrown simultaneously. If X denotes the number of sixe...

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  6. A pair of dice is thrown 3 times. If getting a doublet is considered a...

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  7. Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

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  8. If X has Poisson distribution with m=1, then find P(X le 1) given e^(-...

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  9. If X has Poisson distribution with parameter m and P(X = 2) = P(X = 3)...

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  10. A random variable X has the following probability distribution: ...

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  11. The p. d. f. of a continuous r. v. Xis f(x) = {:((3x^2)/8 , 0 lt x l...

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  12. If a r. v. X has p. d.f. f ( x ) = {:(c/x, 1 lt x lt 3"," c lt 0),(0, ...

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  13. A die is thrown 6 times. If "getting an odd number" is a success, w...

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  14. The probability that a bulb produced by a factory will fuse after 200 ...

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  15. The number of complaints which a bank manager receives per day follows...

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  16. Defects on plywood sheet occur at random with the average of one defec...

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  17. It is known that, in a certain area of a large city, the average numbe...

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