What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? 25466 nurses in Great Britain, furthermore Nightingale made a srtict distinction between nurses and domestic servants.
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Age range (Yr)
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20-29
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30-39
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40-49
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50-59
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60-69
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70-79
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80+
|
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Mid point x
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24.5
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34.5
|
44.5
|
54.5
|
64.5
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74.5
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84.5
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Percent of nurses
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5.7%
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9.7%
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19.5%
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29.2%
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25.0%
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9.1%
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1.8%
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a. Using the age midpoints x and the percentages of nurses, do we have a valid probability distribution? Explain.
b. Use a histogram to graph the probability distribution of patr(a).
c. Find the probability that the British nurse selected at random in 1851 would be 60 years of age or older.
d. Compute the expected age µ of a British nurse contemporary to Florence Nightingale.
e. Compute the standard deviation σ for the age of nurses shown in the distribution.