Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that
He or she makes more than $36,000.
A)0.0918
B)0.9082
C)0.1056
D)0.4040

Question

Quizplus · Accepted Answer

We need to find the probability of getting a salary greater than $36,000, which can be calculated using the standard normal distribution formula:

z = (x - μ) / σ

where x is the value we want to find the probability for (i.e. $36,000), μ is the mean salary of elementary school teachers ($32,000) and σ is the standard deviation ($3000).

z = (36,000 - 32,000) / 3000
z = 1.33

Now, we need to find the area under the normal distribution curve to the right of z = 1.33. Using a standard normal distribution table or calculator, we can find this probability to be 0.0918.

Therefore, the best choice is A) 0.0918.

Assume That the Salaries of Elementary School Teachers in the United