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A die is thrown 20 times. Getting a numb...

A die is thrown `20` times. Getting a number greater than `4` is considered a success. Find the mean and variance of the number of successes.

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To solve the problem, we need to find the mean and variance of the number of successes when a die is thrown 20 times, and a success is defined as rolling a number greater than 4. ### Step-by-Step Solution: 1. **Identify the Total Number of Trials (n)**: - The die is thrown 20 times, so \( n = 20 \). 2. **Determine the Probability of Success (p)**: ...
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RD SHARMA-BINOMIAL DISTRIBUTION -Solved Examples And Exercises
  1. A die is tossed thrice. Getting an even number is considered as suc...

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  2. The mean and variance of a binomial distribution are 4 and frac{4}{3} ...

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  3. A die is thrown 20 times. Getting a number greater than 4 is considere...

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  4. A die is thrown 6 times. If "getting an odd number" is a success, wh...

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  5. A pair of dice is thrown 7 times. If getting a total of 7 is considere...

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  6. A urn contains 5 white, 7 red and 8 black balls. If four balls are dra...

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  7. A die is thrown 5 times. Find the probability that an odd number will ...

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  8. Five dice are thrown is simultaneously. If the occurrence of an even ...

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  9. The probability that a student entering  university will graduate is 0...

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  10. Find the probability that in 10 throws of a fair die a score which is ...

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  11. The sum and the product of the mean and variance of a binomial dist...

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  12. If the sum of the mean and variance of a binomial distribution for 5 t...

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  13. If the probability of a defective bolt is 0.1, find the i. mean and ii...

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  14. In a binomial distribution , prove that mean gt variance

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  15. If X follows binomial distribution with mean 4 and variance 2, find P...

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  16. If tow dice are rolled 12 times, obtain the mean and the variance of ...

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  17. In a game, a man wins a rupee for a six and loses a rupee for any o...

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  18. The mean and variance of a binomial variance with parameters n and p a...

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  19. There are three urns A, B and C. Urn A contains 4 white balls and 5...

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  20. The probability of a man hitting a target is 0.25. He shoots 7 times. ...

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