о % of Nurses 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 5.9% 9.2% 19.7% 29.3% 25.1% 8.7% 2.1% (a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. No. The events are indistinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. No. The events are indistinct and the probabilities do not sum to 1. (b) Use a histogram to graph the probability distribution in part (a). % of Nurses 30 25 20 15 10 5 30 25 20 15 10 5 H % of Nurses 30 25 20 15 10 5 0 0 24.5 34.5 44.5 54.5 64.5 74.5 84.5 24.5 34.5 Age % of Nurses 30 25 20 15 10 5 44.5 54.5 64.5 74.5 84.5 Age 0 24.5 34.5 44.5 54.5 64.5 Age 74.5 84.5 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Age (c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. years (d) Compute the expected age μ (in years) of a British nurse contemporary to Florence Nightingale. years (e) Compute the standard deviation σ (in years) for ages of nurses shown in the distribution. (Round your answer to two decimal places.)

о % of Nurses 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 5.9% 9.2% 19.7% 29.3% 25.1% 8.7% 2.1% (a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. No. The events are indistinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. No. The events are indistinct and the probabilities do not sum to 1. (b) Use a histogram to graph the probability distribution in part (a). % of Nurses 30 25 20 15 10 5 30 25 20 15 10 5 H % of Nurses 30 25 20 15 10 5 0 0 24.5 34.5 44.5 54.5 64.5 74.5 84.5 24.5 34.5 Age % of Nurses 30 25 20 15 10 5 44.5 54.5 64.5 74.5 84.5 Age 0 24.5 34.5 44.5 54.5 64.5 Age 74.5 84.5 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Age (c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. years (d) Compute the expected age μ (in years) of a British nurse contemporary to Florence Nightingale. years (e) Compute the standard deviation σ (in years) for ages of nurses shown in the distribution. (Round your answer to two decimal places.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CR

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