Question

A set of average city temperatures in April are normally distributed with a mean of 19.7 Celsius in a standard deviation of two Celsius the average temperature of Kabul is 15 Celsius what proportion of the average city temperatures are lower than that of Kabul?

Answer 1

There is a proportion of 0.94% cities with average city temperatures lower than that of Kabul

Explanation:

In this question, we are to calculate the proportion of average city temperatures lower than that of Kabul.

Firstly, we shall calculate the z score

Mathematically;

z = (value - mean)/standard deviation = 15 - 19.7/2 = -4.7/2 = -2.35

so we are to calculate the probability of; P(z< -2.35) = 0.0094

This means there is a proportion of 0.94% cities with average city temperatures lower than that of Kabul