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In a meeting, 70% of the members favour ...

In a meeting, 70% of the members favour and 30% oppose a certain proposal. A member is selected at random and we take X = 0 if he opposed, and X = 1 if he is in favour. Find E(X) and Var (X).

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KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.4
  1. State which of the following are not the probability distributions of ...

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  2. An urn contains 5 red and 2 black balls. Two balls are randomly drawn....

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  3. Let X represent the difference between the number of heads and the num...

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  4. Find the probability distribution of (i) number of heads in two tos...

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  5. Find the probability distribution of (i) number of heads in two tos...

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  6. Find the probability distribution of (i) number of heads in two tos...

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  7. Find the probability distribution of the number of successes in two to...

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  8. Find the probability distribution of the number of successes in two to...

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  9. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

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  10. A coin is biased so that the head is 3 times as likely to occur as tai...

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

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  12. The random variable X has a probability distribution P(X) of the follo...

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  13. Find the mean number of heads in three tosses of a fair coin.

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  14. Two dice are thrown simultaneously. If X denotes the number of sixes, ...

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

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  16. Let X denote the sum of the numbers obtained when two fair dice are ro...

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

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  18. In a meeting, 70% of the members favour and 30% oppose a certain propo...

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  19. Choose the correct answer The mean of the numbers obtained on throwi...

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  20. Choose the correct answer Suppose that two cards are drawn at random...

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