16. The list below shows the different choices of pizza at
the local pizza shop:
• pepperoni: 11
• supreme: 7
• cheese: 6
• Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

The expected number of cheese pizza among the 189 pizzas sold is 42.

Step-by-step explanation:

The distribution of different choices of pizza at  the local pizza shop is:

  Pizza         Frequency

Pepperoni          11

Supreme             7

Cheese               6

Hawaiian             3

_______________

TOTAL                27

Compute the probability of selecting a cheese pizza as follows:

Let X = number of cheese pizza sold.

A total of n = 189 pizzas were sold. The probability of selling a cheese pizza is, p = 0.222.

The event of a randomly selected pizza can either cheese or not, is independent of the other pizzas.

The random variable X follows a Binomial distribution with parameters n = 189 and p = 0.222.

The expected value of X is:

Compute the expected number of cheese pizza among the 189 pizzas sold as follows:

Thus, the expected number of cheese pizza among the 189 pizzas sold is 42.