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If `X` is a random variable with probability distribution as given below: `X=x_i :\ 0\ \ 1\ 2\ \ 3` `P(X=x_i): k\ \ 3k\ \ 3k\ \ k` The value of `k` and its variance are `1//8, 22//27` b. `1//8, 23//27` c. `1//8, 24//27` d. `1//8,3//4`

A

`1//8,22//27`

B

`1//8,23//27`

C

`1//8,24//27`

D

`1//8,3//4`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DISCRETE PROBABILITY DISTRIBUTIONS-Exercise
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  12. about to only mathematics

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  13. Two players toss 4 coins each. The probability that they both obtain t...

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  14. A box contains 24 identical balls of which 12 are white and 12 are bla...

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  15. Two dice are tossed 6 times. Then the probability that 7 will show an ...

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  16. If X follows a binomial distribution with parameters n=6 and p. If 4P(...

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  17. The number of times a die must be tossed to obtain a 6 at least one wi...

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  18. Seven chits are numbered 1 to 7. Four chits are drawn one by one with ...

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  19. If the mean of a binomial distribution is 25, then its standard deviat...

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