Question

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 Cairo is 21.4°C. What proportion of average city temperatures are the higher than that of Cairo?

Answer 1

The answer is "19.77%"

Explanation:

Given:

`\mu = 19.7\\\\ \sigma = 2\\\\\to P(x >21.4 ) = 1 - P(x< 21.4)\\\\`

`= 1 - [(P(x -\mu))/( \sigma )< ((21.4-19.7))/(2)]\\\\= 1 - P(z < 0.85)\\\\= 1 - 0.8023\\\\=0.1977\\\\=19.77\%`