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The probability function of a random var...

The probability function of a random variable X is given by
`p(x)=(1)/(3)`, if x = -1, 0, 1
=0, otherwise.
Find the distribution function of X.

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The correct Answer is:
`{:(x,,-1,,01,,),(P(X=x),,1//3,,1//3,,1//3):}`
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AAKASH SERIES-RANDOM VARIABLE -ADDITIONAL EXERCISE
  1. The probability function of a random variable X is given by p(x)=(1)...

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

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  3. is the probability distribution of a random variable X. Find the varia...

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  4. Compute the variance of X whose distribution is given by

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  5. State whether the following probability distribution is admissible or ...

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  6. State whether the following probability distribution is admissible or ...

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  7. Four bad apples are mixed accidentally with 20 good apples. Probabilit...

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  8. A business man gets a profit of Rs. 2800 with probability 0.5, loss of...

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  9. A pair of fair dice is rolled 2 times. Find the mean of the number of ...

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  10. A coin is loaded such that P(H)=3P(T). It is tossed 3 times. Let X be ...

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  11. In a binomial distribution the sum and difference of mean and variance...

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  12. If X is a binomial variate with mean 10 and variance 5 then find P(X l...

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  13. A man takes a step forward with probability 0.4 and backward with prob...

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  14. On an average 1 in 100 razor blades manufactured by a firm are defecti...

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  15. The following data is related to the number of mistakes in each page o...

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  16. Every one out of 15 telephone calls between 2.00 p.m and 4.00 p.m. in ...

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  17. If a person gains or loses an amount equal to the number appearing whe...

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  18. A person gets Rs. 2 if head comes and loses Rs. 5 when a tail comes th...

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  19. A person gets Rs. (2X+3) where X denotes the number appearing when a b...

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  20. A coin is tossed until a tail appears what is the expectation of the n...

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