(a) Can a binomial random variable X have a mean = 7 and the variance = 11. Why or why not? %3D

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Following are three different questions:
(a) Can a binomial random variable X have a mean = 7 and the variance = 11. Why or why not?
(b) The mean and variance of the binomial distribution are 3 and 2 respectively. Find the probability that
the variate takes values less than or equal to 2.
(c) Let X1, X2, X3 each be an independent exponential random variable with mean 3 and Y=X1+ X2 +X3
then find the value of B such that P(|Y-ul<54)2Bß. where u is mean of Y
Transcribed Image Text:Following are three different questions: (a) Can a binomial random variable X have a mean = 7 and the variance = 11. Why or why not? (b) The mean and variance of the binomial distribution are 3 and 2 respectively. Find the probability that the variate takes values less than or equal to 2. (c) Let X1, X2, X3 each be an independent exponential random variable with mean 3 and Y=X1+ X2 +X3 then find the value of B such that P(|Y-ul<54)2Bß. where u is mean of Y
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