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If X is a random variable with the follo...

If X is a random variable with the following distribution

where `p+q=1` then show that the variance of X is `pq(a-b)^(2)`.

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The correct Answer is:
`=pq(a-b)^(2)`
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AAKASH SERIES-RANDOM VARIABLE -PRACTICE EXERCISE
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  3. X is a random variable with distribution given below {:(x:,0,1,2,3),...

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  4. Given below is the distribution of a random variable X If alpha ...

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  5. A random variable X has the following distribution . The mean and...

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  6. In a probability distribution of a random variable X , the sum of prob...

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  7. A random variable X has the following distribution . The value of...

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  8. If X is the sum of the number when two dice are rolled , then mean var...

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  9. A random variable X has its range {0,1,2,3,………}. If P(X=r)=(c(r+1))/(2...

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  10. If it rains a dealer in rain coats can earn Rs . 500 Rs a day . If it ...

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  11. A box contains 6 tickets. Two of the tickets carry a price of Rs. 5//-...

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  12. For a dealer in a consignment of umbrellas , the probabilty of getting...

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  13. In a binomial distribution n=12, p=1//3. Then mean and variance are

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  14. In a binomial distribution, mean is 5 and the variance is 4 . The numb...

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  15. If the mean and variance of a binomial variate X are (4)/(3),(8)/(9) ...

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  16. If for a binomial distribution the mean is 6 and the standdard deviati...

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  17. A box contains 4 red and 8 white balls . If 4 balls are drawn one by o...

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  18. Probability of happening of an event in an experiment is 0.4 . The pro...

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  19. In a binomial distribution the mean is 12 and the standard deviation i...

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  20. A fair coin is tossed a fixed number times . If the probability of get...

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  21. A coin is biased so that the probability of falling head when tossed i...

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