Question

In: Statistics and Probability

All hospitals in the Seattle and Bellevue area participated in a study to determine the average...

All hospitals in the Seattle and Bellevue area participated in a study to determine the average salary for a registered nurse. It was found that this wage was normally distributed with a mean of about $69,000 ($69k) with a standard deviation of $4,000 ($4k). Use this information to answer the following questions. Note, you don’t have to write the thousands out every time, we will assume all units are in thousands.

a. What is the probability a registered nurse will make between $65k and $77k? What does this mean in terms of percentages?

b. What is the probability a registered nurse will make between $57k and $65k? What does this mean in terms of percentages?

c. What is the probability a registered nurse will make more than $81k?

d. What is the probability a registered nurse will make more than $61k?

e. Approximately 95% of all registered nurses had salaries between which two values?

Solutions

Expert Solution

(a)

In percentages, answer is 81.85 %

(b)

In percentages, answer is 15.74 %

(c)

(d)

(e)


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