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A binomial random variable X has 6 trials and probability of success 0.3.  Calculate the mean of X to two decimal places.

Question

A binomial random variable X has 6 trials and probability of success 0.3.  Calculate the mean of X to two decimal places.

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Solution

The mean (expected value) of a binomial random variable is calculated using the formula:

Mean = n * p

where: n = number of trials p = probability of success on each trial

In this case, n = 6 and p = 0.3.

So, the mean of X is:

Mean = 6 * 0.3 = 1.8

So, to two decimal places, the mean of X is 1.80.

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1/3

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