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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 5.1% 9.6% 19.7% 29.2% 25.0% 9.8% 1.6% LA USE SALT (a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. O.No. The events are indistinct and the probabilities do not sum to 1. O No. The events are Indistinct and the probabilities sum to 1. O Yes. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. (b) Use a histogram to graph the probability distribution in part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.) 25 25 20 20 of Nurses 15 4 of Nurses 15 10 10 24.5 34.5 44.5 54.5 64.5 745 84.5 24.5 34.5 44.5 54.5 64.5 745 84.5 Age Age O O 25 20 20 & of Nurses 15- of Nurses 15- 10 10 24.5 34.5 44.5 54.5 64.5 745 84.5 245 34.5 44.5 54.5 64.5 745 84.5 O c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.) (d) Compute the expected age y of a British nurse contemporary to Florence Nightingale. (Round your answer to two decimal places.) yr (e) Compute the standard deviation o for ages of nurses shown in the distribution. (Round your answer to two decimal places.)