Question

A pizza shop owner determines the number of pizzas that are delivered each day. Find the mean (expected value) for the distribution shown below: number of deliveries x 35 36 37 38 39 probability p(x) 0.2 0.1 0.1 0.1 0.5?

Answer 1

The question is in the field of high school Mathematics and involves calculating the expected value by multiplying each number of deliveries by its probability and summing these products.

Step-by-step explanation:

The subject of this question is Mathematics, and it involves calculating the mean or expected value of a discrete probability distribution. To find the mean (expected value) of the number of pizzas delivered each day, you multiply each possible number of deliveries by its corresponding probability and then sum up these products.

The calculation is as follows:

• (35 deliveries × 0.2 probability) + (36 deliveries × 0.1 probability) + (37 deliveries × 0.1 probability) + (38 deliveries × 0.1 probability) + (39 deliveries × 0.5 probability)

By calculating the sum of these, we get the mean (expected value) for the distribution of the number of pizza deliveries.