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A coin is tossed 4 times. Let X denote t...

A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X, its mean and variance.

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A coin is tossed 4 times. X is the number of heads observed. Find the probability distribution of X .

A coin is tossed 5 times . X is the number of heads of observed . Find the probability distribution of X .

A coin is tossed twice. Let X denotes of the number of times 'head' tunrs up. Write down the probability distribution of X.

Two numbers are selected at random from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. find the mean and variance of this distribution.

Three numbers are selected at random (without replacement) from first 6 positive integers. Let X denote the largest of the three numbers obtained. Find the probability distribution of X. Also, find the mean and variance of the distribution.

Two dice are thrown simultaneously. If X denotes the numbers of sixes obtained, find probability distribution of X and also is mean and variance.

A die is tossed once. Let a random variable X be defined as X={(0,if the dice shows an odd number),(1, if the dice shows an even number):} Find the probability distribution of X. Also find the mean and variance.

An unbiased coin is thrown thrice. If the random variable X denotes the number of heads obtained, describe the probability distribution of X .

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MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. Two cards are drawn simultaneously (or successively without replacemen...

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  2. Two cards are drawn successively with replacement from a well-shuffled...

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  3. A coin is tossed 4 times. Let X denote the number of heads. Find the p...

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  4. Find the mean and variance of the number of heads on the throw of thre...

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  5. Two numbers are selected at random (without replacement) from the firs...

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  6. Two bad eggs are mixed accidently with 10 good ones. Find the probabil...

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  7. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20,...

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  8. There are 40 scholars in a class, out of which 10 are sports- persons....

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  9. The probability distribution of a random variable 'X', taking values 1...

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  10. The probability distribution of a random variable 'X', taking values 1...

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  11. The probability distribution of a random variable 'X', taking values 1...

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  12. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs...

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  13. Find the probability distribution of white balls drawn when 3 balls ar...

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  14. Two numbers are selected at random (without replacement) from the firs...

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  15. An urn contains 3 white and 6 red balls. 4 balls are drawn one by one ...

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  16. Obtain binomial distribution, if : n=6, p=1/3.Find the mean

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  17. Obtain binomial distribution, if : n=5, p=1/6

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  18. Suppose X has a binomial distribution B(6,(1)/(2)) . Show that X=3 is ...

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  19. A coin is tossed 7 times. What is the probability that head appears on...

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  20. A coin is tossed 7 times. What is the probability that tail appears on...

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