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3) What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Age range (yrs) 20-29 24.5 5.7% Midpoint x Percent of nurses 30-39 34.5 9.7% 40-49 50-59 60-69 44.5 54.5 64.5 19.5% 29.2% 25.0% 70-79 74.5 9.1% a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. 80+ 84.5 1.8% c) Find the probability that a British nurse selected at random in 1851 was 60 years of age or older. d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale.

3) What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Age range (yrs) 20-29 24.5 5.7% Midpoint x Percent of nurses 30-39 34.5 9.7% 40-49 50-59 60-69 44.5 54.5 64.5 19.5% 29.2% 25.0% 70-79 74.5 9.1% a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. 80+ 84.5 1.8% c) Find the probability that a British nurse selected at random in 1851 was 60 years of age or older. d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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3) What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Age range (yrs) Midpoint x Percent of nurses 20-29 24.5 5.7% 30-39 34.5 9.7% 60-69 40-49 50 - 59 64.5 44.5 54.5 19.5% 29.2% 25.0% a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. 02-01 70-79 74.5 9.1% c) Find the probability that a British nurse selected at random in 1851 was 60 years of age or older. (3) bousdos 80 + 84.5 1.8% bileys ovad ow ob 210gode qua d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale.
Transcribed Image Text:3) What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Age range (yrs) Midpoint x Percent of nurses 20-29 24.5 5.7% 30-39 34.5 9.7% 60-69 40-49 50 - 59 64.5 44.5 54.5 19.5% 29.2% 25.0% a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain. 02-01 70-79 74.5 9.1% c) Find the probability that a British nurse selected at random in 1851 was 60 years of age or older. (3) bousdos 80 + 84.5 1.8% bileys ovad ow ob 210gode qua d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale.
Name: Section 5.1 1) For a fundraiser, 1000 raffle tickets are sold and the winner is chosen at random. There is only one prize, $500 in cash. You buy one ticket. a) What is the probability you will win the prize of $500? b) Your expected earnings can be found by multiplying the value of the prize by the probability you will win the prize. What are your expected earnings? c) If a ticket costs $2, what is the difference between your "costs" and "expected earnings"? How much are you effectively contributing to the fundraiser? 2) What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. The following table is based on information taken from Trends in the United States (Food Marketing Institute, Washington, D.C.). Age range, years Midpoint, x Percent of MAT 147: Statistics HW 5: Probability Distributions 18-28 23 7% of 29-39 34 roqu44% ser super shoppers For the 62-and-over group, use the midpoint 67 years. 40 - 50 45 24% 104 51-61 56 14% 62 and over 67 11% 11% ( a) Using the age midpoints x and the percentage of super shoppers, do we have a valid probability distribution? Explain. c) Compute the expected age μ of a super shopper. Hint: The percent of super shoppers is the same thing as the probability of selecting someone in that age range. Change the percent to a decimal! ctri
Transcribed Image Text:Name: Section 5.1 1) For a fundraiser, 1000 raffle tickets are sold and the winner is chosen at random. There is only one prize, $500 in cash. You buy one ticket. a) What is the probability you will win the prize of $500? b) Your expected earnings can be found by multiplying the value of the prize by the probability you will win the prize. What are your expected earnings? c) If a ticket costs $2, what is the difference between your "costs" and "expected earnings"? How much are you effectively contributing to the fundraiser? 2) What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. The following table is based on information taken from Trends in the United States (Food Marketing Institute, Washington, D.C.). Age range, years Midpoint, x Percent of MAT 147: Statistics HW 5: Probability Distributions 18-28 23 7% of 29-39 34 roqu44% ser super shoppers For the 62-and-over group, use the midpoint 67 years. 40 - 50 45 24% 104 51-61 56 14% 62 and over 67 11% 11% ( a) Using the age midpoints x and the percentage of super shoppers, do we have a valid probability distribution? Explain. c) Compute the expected age μ of a super shopper. Hint: The percent of super shoppers is the same thing as the probability of selecting someone in that age range. Change the percent to a decimal! ctri
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