This is a binomial experiment in which .

of americans order toppings on their pizza.

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:

Plot the bar graph of the data in the table.

.

Find the mean, variance and standard deviation.

Mean of a Binomial distribution is .

Substitute and in the formula.

. 

Variance of a Binomial distribution is .

Substitute , and in the formula.

Standard deviation of a Binomial distribution is .

Mean of the distribution is about .

On an average out of 5 teenagers order toppings on their pizza.

Variance of a Binomial distribution is .

Standard deviation is about .

On an average out of 5 teenagers order toppings on their pizza.

Table:

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Graph of the binomial distribution:

Mean of the distribution is about .

Variance of a Binomial distribution is .

Standard deviation is about . \ \