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The random variable X has a probability ...

The random variable X has a probability distribution P(X) of the following form, where k is some number : `P(x)={(k,,`if,,`x=0),(2k,,`if,,`x=1),(3k,,`if,,`x=2),(0,,,,):}` find `P(X<2), P(Xle2), P(Xge2)`.

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PSEB-PROBABILITY-Exercise
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  4. Find the mean number of heads in three tosses of a fair coin.

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

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

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

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

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

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  10. The mean of the numbers obtained on throwing a die having written 1 on...

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  11. Suppose that two cards are drawn at random from a deck of cards. Let X...

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  12. A die is thrown 6 times. If ‘getting an odd number’ is a success, what...

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  13. A die is thrown 6 times. If ‘getting an odd number’ is a success, what...

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  14. A die is thrown 6 times. If ‘getting an odd number’ is a success, what...

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  15. A pair of dice is thrown 5 times. If getting a doublet is considered a...

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  16. There are 5% defective items in a large bulk of items. What is the pro...

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  17. Five cards are drawn successively with replacement from a well-shuffle...

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  18. Five cards are drawn successively with replacement from a well-shuffle...

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  19. Five cards are drawn successively with replacement from a well-shuffle...

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  20. The probability that a bulb produced by a factory will fuse after 150 ...

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