Given X(n,p) is a binomial random variable with parameters n,p.

n is total number of trails

p is probability of success.

The probability distribution function of binomial distribution for k number of success with parameters n,p is shown below

Question

See attachment.

Step 1

Given X(n,p) is a binomial random variable with parameters n,p.

n is total number of trails

p is probability of success.

The probability distribution function of binomial distribution for k number of success with parameters n,p is shown below

Step 2

Any binomial random variable with low p and low n values distribution is left tail, for large p and small n values, distribution is right tail and for large n and for p = 0.5 the distr...

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