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If a random variable X can take all non-...

If a random variable X can take all non- negative integral values and the probability that X takes the value r is proportional to `alpha^(r)(0 lt alpha lt 1)` then `P(X = 0)` is ………..

A

`1- alpha`

B

`alpha`

C

`(alpha)/(2)`

D

`alpha^(2)`

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The correct Answer is:
A
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KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. Probability distribution of random variable X is as follows : The...

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  2. A random variable X has the probability distribution: For the eve...

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  3. If a random variable X can take all non- negative integral values and ...

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  4. The mean and standard deviation of a random variable X are 10 and 5 re...

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  5. The probability distribution of a random variable X is given below : ...

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  6. Mean of the following probability distribution is …………

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  7. A fair dice is rolled 6 times. If "getting an even number" is a succes...

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  8. A fair dice is rolled 6 times. If "getting a prime number" is a "succe...

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  9. A bag consists of 10 balls each marked with one e digits 0 to 9. If fo...

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  10. Mean of the binomial distribution is 100 then it standard deviation li...

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  11. In a box there are 100 electric bulbs out of which 10 are defective. 5...

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  12. Mean and variance of one binomial distribution are (4)/(3) and (20)/(2...

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  13. Probability distribution of a discrete random variable X is given in t...

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  14. Mean and variance of binomial distribution are 3 and 2 respectively th...

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  15. The probability function of the binomial distribution is P(x)= ((6), (...

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  16. Let X be the random variable with following probability distribution. ...

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  17. The mean and standard deviation of a random variable X are given by E(...

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  18. Let X be a random variable with probability distribution. then E...

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  19. Two balanced dice are tossed 500 times. If sum of integers obtained o...

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  20. A probability distribution of random variable X is as follows. b...

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