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Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die.

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Find the probability distribution of the number of sixes in three tosses of a die.

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as number greater than 4 appears on at least one die.

Find the probability distribution of the number of successes in two tosses of a die,where a success is defined as (i) number greater than 4 (ii) six appears on at least one die

Obtain the probobility distribution of the number of sixes in two tosses of a fair die.

Find the probability distribution of the number of success in two tosses f a die,where a success is defined as getting a number greater than 4. Also,find the mean and variance of the distribution.

(a) (i) Find the probability distribution of the number of heads when three coins are tossed simultaneously. (ii) Find the probability distribution of the number of tails in the simultaneous tosses of three coins. (iii) Find the probability distribution of the number of heads in the simultaneous toss of four coins. (b) (i) Find the probability distribution of the number of heads in three tosses of a coin. (ii) Find the probability distribution of the number of sixes in two tosses of a die. ( c ) Find the probability distribution of the number of heads (tails) in four tosses of a coin.

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

A dice is rolled twice. Find the probability distribution of number of successes if : A number greater than 4 is to be considered as success.

A die is tossed twice. 'Getting an odd number on a toss' is considered a success. Find the probability distribution of number of successes. Also, find the mean and variance of the number of successes.

A die is tossed twice. 'Getting a number greater than 4' is considered a success. Find the probability distribution of number of successes. Also, find the mean and variance of the number of successes.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-PROBABILITY DISTIBUTIONS
  1. Find the expected value and variance of r.v. X whose p.m.f. is given b...

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

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  3. The probability distribution of X is as follows: Find k and P [X l...

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  4. The following probability distribution of r.v. X Find the probabil...

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  5. In the p.m.f. of r.v. X Find a

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

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

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  8. A random variable X has the following probability distribution: D...

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  9. Find the probability distribution of number of doublets m three thr...

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  10. Find the mean and variance of the number randomly selected from 1 to 1...

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  11. The p.m.f. of a r.v. X is P(x)={{:((3-x)/(10)","x=-1","0","1","2),(0",...

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

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  13. Let a pair of dice be thrown and the random variable X be the sum of ...

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  14. Two cards are drawn simultaneously (or successively without replace...

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

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  16. In a meeting, 70% of the members favour and 30% oppose a certain pr...

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  17. The following is the c.d.f. of r.v. X Find (i) P (-1 le X le 2) (...

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  18. A player tosses two coins he wins Rs.10 if 2 heads appears , Rs. 5 if ...

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

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

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