This is a binomial experiment in which ,  as the month is february.

In california of days are sunny.

Therefore, and .

Find the propbability of each possible value for using Binomial probability formula.

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Make a table for the propbability distribution of .

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Graph:

Graph the bar graph for the values obtained in the table.

Find the mean, variance and standard deviation.

Mean of a Binomial distribution is .

Substitute and in the formula.

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Variance of a Binomial distribution is .

Substitute , and in the formula.

Standard deviation of a Binomial distribution is .

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Mean of the distribution is about .

Variance of a Binomial distribution is .

On average  sundays out of days in the february.

Standard deviation is about .

On average  sunny days out of days in the february.

Table:

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Graph:

Mean of the distribution is about .

Variance of a Binomial distribution is .

Standard deviation is about .