Set of average city temperatures in April are normally distributed with a mean of 19.7°C and a standard deviation of 2°C. The average temperature of Kabul is 15°C. What proportion of average city temperatures are the lower than that of Kabul?

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

Step-by-step 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