A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.

The probability mass function of X is:

Step-by-step explanation:

A Binomial experiment has the following properties:

•There are a fixed number of trials (n).

•Each trial are independent of the others.

•Each trial has only two outcomes: Success and Failure

•Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

Then the probability mass function of X is known as binomial probability distribution.

The probability mass function of X is:

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step-by-step explanation:

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