Question

A chemical supply company currently has in stock 100 pounds of a certain chemical, which it sells to customers in 5-pound lots. Let the number of lots ordered by a randomly chosen customer. The probability distribution of x is as follows:

Calculate the mean of x

Answer 1

To calculate the mean of a probability distribution, you need to multiply each value by its probability and sum up these products.

Step-by-step explanation:

The mean of a probability distribution is the long-term average of many trials of a statistical experiment. In this case, the probability distribution represents the number of lots ordered by a randomly chosen customer. The given probability distribution tells us the probabilities of different values of x, which represents the number of 5-pound lots ordered. To calculate the mean of x, we need to multiply each value of x by its corresponding probability, and then sum up these products. The formula for calculating the mean is:

Mean = (x1 * P(x1)) + (x2 * P(x2)) + ... + (xn * P(xn))