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 less than $28,000.
A)0.0918
B)0.9981
C)0.2113
D)0.9827

Question

Quizplus · Accepted Answer

To find the probability that a teacher makes less than $28,000, we calculate the Z-score using the formula Z = (X - μ) / σ, where X is the value ($28,000), μ is the mean ($32,000), and σ is the standard deviation ($3,000). This gives us Z = ($28,000 - $32,000) / $3,000 = -4,000 / 3,000 = -1.33. Looking up the Z-score of -1.33 in a standard normal distribution table gives us a probability of approximately 0.0918.

Assume That the Salaries of Elementary School Teachers in the United