(a) The mean and variance of a discrete random variable X are 6 and 2 respectively. Assuming X to be a binomial variate, find P(5

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(a) The mean and variance of a discrete random variable X
are 6 and 2 respectively. Assuming X to be a binomial
variate, find P(5<X<7).
(b) In a binomial distribution consisting of 5 independent
trials, the probability of 1 and 2 successes are 0.4096 and
0.2048 respectively. Calculate the mean, variance and
mode of the distribution.
Transcribed Image Text:(a) The mean and variance of a discrete random variable X are 6 and 2 respectively. Assuming X to be a binomial variate, find P(5<X<7). (b) In a binomial distribution consisting of 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. Calculate the mean, variance and mode of the distribution.
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