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33. Binomial Distribution
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Q28 of 99 Page 33

Three cards are drawn successively with replacement from a well - shuffled pack of 52 cards. Find the mean and variance of some red cards.

Let p = probability of drawing a red card




Let a number of the red cards drawn be X.


X follows a binomial distribution with,



The required binomial distribution is given by,



So, mean = np



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An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Also, find the mean and variance of the distribution.

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Five bad oranges are accidentally mixed with 20 good ones. If four oranges are drawn one by one successively with replacement, then find the probability distribution of number of bad oranges drawn. Hence, find the mean and variance of the distribution.

1

In a binomial distribution, if n = 20, q = 0.75, then write its mean.

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If in a binomial distribution mean is 5 and variance is 4, write the number of trials.

Questions · 99
33. Binomial Distribution
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