Question

question 38 points 3

the average salary of a city college professor is $85,900. the salaries of professors are normally distributed with a standard deviation of $11,000. what is the probability that a professor makes more than $90,000?

14.53%
35.57%

Explanation:

Identify parameters

Using the Normal Distribution Properties knowledge point

$$ \mu = 85900,\quad \sigma = 11000,\quad X > 90000 $$

Calculate Z-score

Using the Z-score Calculation knowledge point

$$ z = \frac{90000 - 85900}{11000} = \frac{4100}{11000} \approx 0.37 $$

Find probability

Using the Standard Normal Table knowledge point

$$
LATEXBLOCK0
$$

Answer:

• 14.53%
• 35.57% (Correct answer)