Question

A set of average city temperatures in July are normally distributed

Answer 1

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

$z=\frac{x-\mu}{\sigma}$

The average temperature of the City of Van Nuys is 23 degrees. The z score is

$z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25$

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%