According to a high school news paper report, of students wear their seatbelts while driving.

Eight students choosen at random.

This is a binomial experiment in which .

Find the probability if they wear seatbelts.

Therefore, and .

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

Make a table for the propbability distribution of .

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Graph:

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Find the mean, variance and standard deviation.

Mean of a Binomial distribution is .

Substitute and in the formula.

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Mean of the distribution is about .

On average out of students wear their seatbelts.

Variance of a Binomial distribution is .

Substitute , and in the formula.

Variance of a Binomial distribution is .

Standard deviation of a Binomial distribution is .

Standard deviation is about .

Table:

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Graph:

Mean of the distribution is about .

On average out of students wear their seatbelts.

Variance of a Binomial distribution is .

Standard deviation is about .