What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain. 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 age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. (b) Use a histogram to graph the probability distribution in 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 μ of a British nurse contemporary to Florence Nightingale. (e) Compute the standard deviation σ for ages of nurses shown in the distribution.