Statistics - Probabilities

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36. For any two events A and B

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37. Which of the following is correct?

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38. Given two events A and Band
P(A) = 1/4, P(B/A) = 1/2
and P(A/B) = 1/4

State that following is true?

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39. Let p be the probability that a man aged y will get into an accident in a year. What is the probability that a man among n men of all aged y will get into an accident first?

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40. What would be the expectation of the number of failures preceding the first success in an infinite series of independent trials with the constant probability of success p ?

  • Option : C
  • Explanation : Expectation of X = E(X) = average = mean

    Probability

    where pi denote probability of occurrence of xi
    Let q = 1-p
    Then probabilities of succession 1st, 2nd, 3rd 
    trials are
                       p, qp, q2p,......

    Probability

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