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A coin is loaded such that P(H)=3P(T). I...

A coin is loaded such that `P(H)=3P(T)`. It is tossed 3 times. Let X be the random variable which indicates the number of heads which occur. Find the mean of X, variance of X.

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The correct Answer is:
`(9)/(4),(9)/(16)`
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AAKASH SERIES-RANDOM VARIABLE -ADDITIONAL EXERCISE
  1. State whether the following probability distribution is admissible or ...

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  2. Four bad apples are mixed accidentally with 20 good apples. Probabilit...

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  3. A business man gets a profit of Rs. 2800 with probability 0.5, loss of...

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  4. A pair of fair dice is rolled 2 times. Find the mean of the number of ...

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  5. A coin is loaded such that P(H)=3P(T). It is tossed 3 times. Let X be ...

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  6. In a binomial distribution the sum and difference of mean and variance...

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  7. If X is a binomial variate with mean 10 and variance 5 then find P(X l...

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  8. A man takes a step forward with probability 0.4 and backward with prob...

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  9. On an average 1 in 100 razor blades manufactured by a firm are defecti...

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  10. The following data is related to the number of mistakes in each page o...

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  11. Every one out of 15 telephone calls between 2.00 p.m and 4.00 p.m. in ...

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  12. If a person gains or loses an amount equal to the number appearing whe...

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  13. A person gets Rs. 2 if head comes and loses Rs. 5 when a tail comes th...

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  14. A person gets Rs. (2X+3) where X denotes the number appearing when a b...

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  15. A coin is tossed until a tail appears what is the expectation of the n...

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  16. Suppose that X is a ramdom variable for which E(X)=10 and Var (X) = 25...

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  17. Given the following table Computer i) E(4X+5) ii) E(X^(2)) i...

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  18. A ramdom variable X can assume any positive integral value of n with a...

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  19. Find the probability of guessing at least 6 out of 10 answers in i) ...

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  20. Thee number of persons joining a cinema ticket counter is a minute has...

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