Shopping Outlet

A shopping outlet estimates the
probability distribution of the number of stores shoppers actually enter as shown in the table below.

x 0 1 2 3 4
p(x) 0.05 0.35 0.25 0.20 0.15

What is the probability that shoppers are just window shopping and not entering any stores?

What is the probability that shoppers enter at least 2 shops?

Find the expected value of the number of stores entered.

Find the variance and standard deviation of the number of stores entered.

Suppose that Y=2X+1. Use the laws of expected value to calculate the mean of Y from the probability distribution of X.

1 answer

1. The probability that shoppers are just window shopping and not entering any stores is 0.05.
2. The probability that shoppers enter at least 2 shops is 0.75.
3. The expected value of the number of stores entered is 1.8.
4. The variance and standard deviation of the number of stores entered is 0.9 and 0.95, respectively.
5. The mean of Y from the probability distribution of X is 3.6.