Acity’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by p(z≥1.5)=0.0668. if the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?

40.5 inches

Step-by-step explanation:

Given: A city’s annual rainfall totals are normally distributed.

The probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668

Thus, X=43.2 inches

z=1.5

Standard deviation =1.8 inches

We know that

Hence,  the city’s mean annual rainfall is 40.5 inches.

77

step-by-step explanation: