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The random variable X is a binomial random variable with n=14 and p=0.7. What is the...

The random variable X is a binomial random variable with n=14 and p=0.7. What is the expected value of X? Do not round your answer.

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SOLUTION:

From given data,

The random variable X is a binomial random variable with n=14 and p=0.7. What is the expected value of X

random sample size = n = 14

random proportion = p = 0.7

We know that,

If X Bin (n,p)

PMF is

, x = 0,1,2,...,n

Where ,

Expected value of X

Expected value is E(X) = n*p

=  14 * 0.7

= 9.8

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