Using the age midpoints x and the percentage of nurses, do we have a valid probability distribution? Explain Use a histogram to graph the probability distribution of part (a). Compute the expected age (mean) of a nurse. Compute the standard deviation for ages of nurses. What is the probability that a British nurse selected at random was younger than 60?
Using the age midpoints x and the percentage of nurses, do we have a valid probability distribution? Explain Use a histogram to graph the probability distribution of part (a). Compute the expected age (mean) of a nurse. Compute the standard deviation for ages of nurses. What is the probability that a British nurse selected at random was younger than 60?
MATLAB: An Introduction with Applications
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Question
- What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? We have the following data from Florence Nightingale’s writing
Age |
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 |
Percantage of Nurses |
5.7% |
9.7% |
19.5% |
29.2% |
25.0% |
9.1% |
1.8% |
- Using the age midpoints x and the percentage of nurses, do we have a valid
probability distribution? Explain - Use a histogram to graph the probability distribution of part (a).
- Compute the expected age (
mean ) of a nurse. - Compute the standard deviation for ages of nurses.
- What is the probability that a British nurse selected at random was younger than 60?
Expert Solution
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Working
x | p(x) | xp(x) | (x-xbar)^2 | (x-xbar)^2p(x) |
24.5 | 0.057 | 1.3965 | 856.1476 | 48.80041 |
34.5 | 0.097 | 3.3465 | 370.9476 | 35.98192 |
44.5 | 0.195 | 8.6775 | 85.7476 | 16.72078 |
54.5 | 0.292 | 15.914 | 0.5476 | 0.159899 |
64.5 | 0.25 | 16.125 | 115.3476 | 28.8369 |
74.5 | 0.091 | 6.7795 | 430.1476 | 39.14343 |
84.5 | 0.018 | 1.521 | 944.9476 | 17.00906 |
53.76 | 186.6524 |
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