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Let X be random variable with probabilit...

Let X be random variable with probability density function
`f(x)={{:(2/x^(3), x ge 1), (0, x lt 1):}`
Which of the following statement is correct

A

both mean and variance exist

B

mean exists but variance does not exist

C

both mean and variance do not exist

D

variance exists but mean does not exist

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FULL MARKS-PROBABILITY DISTRIBUTIONS-EXERCISE -11.6
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  3. Consider a game where the player tosses a six sided fair die. If the f...

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  4. A pair of dice numbered 1, 2, 3, 4, 5, 6 of a six-sided die and 1, 2, ...

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  5. A random variable X has binominal distribution with n = 25 and p = 0.8...

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  6. Let X represent the difference between the number of heads and the nu...

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  7. If the function f(x)=1/12 " for " a lt x lt b, represents a probabilit...

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  8. Four buses carrying 160 students from the same school arrive at a foot...

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  9. Two coins are to be flipped. The first coin will land on heads with pr...

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  10. On a multiple-choice exam with 3 possible destructive for each of the ...

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  11. If P{X=0}=1-P{X=1}. If E{X}=3Var(X), then P{X=0} is

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  12. If X is a binomial random variable with expected value 6 and variance ...

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  13. The random variable X has the probability density function f(x)={{:(ax...

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  14. Suppose that X takes on one of the values 0, 1, and 2. If for some con...

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  15. Which of the following is a discrete random variable? I. The number ...

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  16. If f(x) = {(2x,0 lt=xlt=a),(0,"otherwise"):} is a probability density ...

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  17. The probability function of a random variable is defined as The...

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  18. Let X have a Bernoulli distribution with mean 0.4, then the variance ...

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  19. If in 6 trials, X is a binomial variate which follows the relation 9P(...

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  20. A computer salesperson knows from his past experience that he sells co...

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