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An unbiased die is thrown twice. Find th...

An unbiased die is thrown twice. Find the probability distribution of the number of sixes.

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To find the probability distribution of the number of sixes when an unbiased die is thrown twice, we can follow these steps: ### Step 1: Define the Random Variable Let \( X \) be the random variable representing the number of sixes obtained when a die is thrown twice. The possible values of \( X \) are 0, 1, or 2. ### Step 2: Calculate the Total Outcomes When a die is thrown twice, the total number of outcomes is: \[ ...
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RD SHARMA-MEAN AND VARIANCE OF A RANDOM VARIABLE -Solved Examples And Exercises
  1. A random variable X can take all non-negative integral values and the ...

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  2. The random variable X has a probability distribution P(X) of the fol...

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  3. An unbiased die is thrown twice. Find the probability distribution of ...

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  4. Four bad oranges are mixed accidently with 16 good oranges. Find the ...

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  5. An urn contains 4 white and 6 red balls. Four balls are drawn at rando...

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  6. Three cards are drawn form a pack of 52 playing cards. Find the pro...

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  7. A discret random variable X has the following probability distribution...

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  8. Four balls are to be drawn without replacement from a box containing 8...

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  9. A run contains 4 white and 3 red balls. Find the probability distrib...

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  10. A probability distribution of a variable X is given below: X :01234 P(...

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  11. A random variable X as the following probability distribution: xi :-2-...

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  12. The probability distribution of a discrete random variable X is given ...

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

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  14. The probability distribution of a random variable X is given as under:...

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  15. In a game 3 coins are tossed. A person is paid Rs. 5, if he gets all h...

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  16. There are 5 cards numbered 1 to 5, one number on one card. Two cards ...

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  17. Two cards are drawn without replacement from a well-shuffled deck of 5...

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  18. Find the probability distribution of the number of green balls drawn ...

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  19. From a lot of 10 items containing 3 defectives, a sample of 4 items id...

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  20. We take 8 identical slips of paper, write the number 0 on one of them,...

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