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There are n students in a class. Ler P(E...

There are n students in a class. Ler `P(E_lambda)` be the probability that exactly `lambda` out of n pass the examination. If `P(E_lambda)` is directly proportional to `lambda^2(0lelambdalen)`.
If a selected student has been found to pass the examination, then the probability that he is the only student to have passed the examination, is

A

`(1)/(sumn)`

B

`(1)/(sumn^2)`

C

`(1)/(sumn^3)`

D

`(1)/(sumn^4)`

Text Solution

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The correct Answer is:
(c)
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ARIHANT MATHS-PROBABILITY-Exercise (Passage Based Questions)
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  2. There are n students in a class. Ler P(Elambda) be the probability tha...

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  3. There are n students in a class. Ler P(Elambda) be the probability tha...

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  4. A cube having all of its sides painted is cut by two horizontal, two v...

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  5. A cube having all of its sides painted is cut to be two horizontal , t...

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  6. A cube having all of its sides painted is cut to be two horizontal , t...

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  7. A JEE aspirant estimates that she will be successful with an 80 percen...

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  8. A JEE aspirant estimates that she will be successful with an 80 percen...

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  9. A JEE aspirant estimates that she will be successful with an 80 percen...

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  10. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  11. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  12. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  13. Let A={1, 2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of increas...

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  14. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of non d...

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  15. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of incre...

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  16. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

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  17. A random variable X takes values 0, 1, 2, 3,… with probability proport...

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  18. A random variable X takes values 0, 1, 2,...... with probability propo...

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  19. Let n=10lambda+r", where " lambda,rinN, 0lerle9. A number a is chosen...

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  20. Let n=10lambda+r, where lambda,rinN, 0lerle9. A number a is chosen at...

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