Question

Salespeople for a car sales company have an annual sales average of $225,000, with a standard deviation of $18,000. What percentage of the salespeople will make the following sales? Assume the sales follow a normal distribution. A. More than $25,000 B. Less than $190,000 C. Between $200,000 and $240,000

Answer 1

Given that, mean (μ) = $225000 and

standard deviation = $18000

We want to find the following probabilities,

A) P(X > 250000)

Therefore, required probability is 0.0823

B) P(X < 190000)

Therefore, required probability is 0.0262

C) P(200000 < X < 240000)

Therefore, required probability is 0.7144

Note : In part A) I think by mistake you write 25,000 instead of 250,000. If you want P(X > 25000) Then,

P(X > 25000)