#### Compute the expected age of a British nurse contemporary to Florence Nightingale.

STATISTICS 9 QUESTIONS

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Section 6.1 Problems 2, 6, & 10

2. Random Variables: Classification

Which of the following are continuous variables and which are discreet?

a. Speed of an airplane

b. Age of a college professor chosen at random

c. Number of books in the college bookstore

d. Weight of a football player chosen at random

e. Number of lightning strikes in Rocky Mountain National Park on a given day

6. History: Florence Nightingale

What was the age distribution of nurses in Great Britain at the tine of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from classic text Notes on Nursing, by Florence Nightingale). Note: in 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants.

Age Range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+ Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%

a. Using the midpoint x and the percentages of nurses, do we have a valid probability distribution? Explain.

b. Use a histogram to graph the probability distribution of part (a).

c. Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older.

d. Compute the expected age of a British nurse contemporary to Florence Nightingale.

e. Compute the standard deviation for ages of nurses shown in the distribution.