A survey of hospital patients is taken to determine preference for chicken soup or vegetable soupduring their stay in hospital. Of the 300 respondents, 165 were male and 135 were female. 120 preferred vegetable soup and 180 preferred chicken soup. Of the males, 135 preferred chicken soup. a) Fill in the contingency table: /1Vegetable soup Chicken soup TotalMale 135 165Female 135Total 120 180 300b) What is the probability of randomly selecting a male respondent? (in 3 sig figs)c) What is the probability of randomly selecting a patient who preferred chicken or vegetable soup? (in 3 sig figs)d) What is the probability of randomly selecting two patients who both prefer chicken soup? (in 3 sig figs) e) What is the probability of randomly selecting a patient who prefers chicken soup or is female? (in 3 sig figs)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A survey of hospital patients is taken to determine preference for chicken soup or vegetable soup
during their stay in hospital. Of the 300 respondents, 165 were male and 135 were female. 120 
preferred vegetable soup and 180 preferred chicken soup. Of the males, 135 preferred chicken 
soup. 
a) Fill in the contingency table: /1
Vegetable soup Chicken soup Total
Male 135 165
Female 135
Total 120 180 300
b) What is the probability of randomly selecting a male respondent? (in 3 sig figs)
c) What is the probability of randomly selecting a patient who preferred chicken or vegetable soup? (in 3 sig figs)
d) What is the probability of randomly selecting two patients who both prefer chicken soup? (in 3 sig figs)

e) What is the probability of randomly selecting a patient who prefers chicken soup or is female? (in 3 sig figs)

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