Question

a weather forecast predicts that for each day from monday to friday this week, there is a chance of sun, a chance of getting 4 inches of rain, and a chance of getting 10 inches of rain. what is the expected value of the total number of inches of rain which will fall from monday to friday?

Answer 1

The expected value of the total number of inches of rain which will fall from Monday to Friday is 4.66 inches.

Step-by-step explanation:

To find the expected value of the total number of inches of rain which will fall from Monday to Friday, we need to calculate the weighted average.

The probability of getting 4 inches of rain is 1/3, and the probability of getting 10 inches of rain is also 1/3.

We can calculate the expected value as follows:

Expected Value = (4 inches x 1/3) + (10 inches x 1/3)

= 1.33 inches + 3.33 inches

= 4.66 inches

Therefore, the expected value of the total number of inches of rain which will fall from Monday to Friday is 4.66 inches.