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The sum of the mean and variance of a binomial distribution is 15 and the sum of their squares is 117. The mean of the distribution is 

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Important Questions on Binomial Distribution

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The probability that in a family of 5 members, exactly 2 members have birthday on sunday, is
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A bag contains 2 white and 4 black balls. A ball is drawn 5 times with replacement. The probability that at least 4 of the balls drawn are white is
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If X follows a binomial distribution with parameters n=100 &  P=13, then P(X=r) is maximum when r is equal to
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A fair coin is tossed n times. If the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then n is equal to
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If X follows a binomial distribution with parameters n=6 and p. If 4P(X=4)=P(X=2), then p=
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A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
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A dice is thrown 100 times, getting an even number is considered a success. The variance of the number of successes is
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A coin is tossed 3 times by 2 persons. The probability that both get the equal number of heads is