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Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch. YesNoNo OpinionMen7616856Women10612173If one adult is randomly selected from these 600 adults, find the following probabilities.Give exact answers in fraction form.a. P(man or no) = Enter you answer; P(man or no) b. P(yes or woman) = Enter you answer; P(yes or woman) c. P(no opinion or yes) = Enter you answer; P(no opinion or yes) eTextbook and MediaAttempts: 0 of 5 used

User Sabyasachi Ghosh
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2 Answers

7 votes
7 votes

a. P(man or no) = 14/60; P(man or no)

b. P(yes or woman) = 107/300; P(yes or woman)

c. P(no opinion or yes) = 73/600; P(no opinion or yes)

a. To find P(man or no), add the probabilities of being a man and not watching for calories and fat content. The number of men who do not watch is 8, and the total number of adults is 600. So, P(man or no) = 8/600 = 4/300 = 2/150 = 1/75.

b. P(yes or woman) is the probability of being a woman and watching for calories and fat content, plus the probability of being a woman and not watching. The number of women who watch is 106, and the number of women who do not watch is 121. So, P(yes or woman) = (106 + 121)/600 = 227/600 = 107/300.

c. P(no opinion or yes) is the probability of having no opinion and watching for calories and fat content. The number of adults with no opinion who watch is 73, and the total number of adults is 600. So, P(no opinion or yes) = 73/600.

User Rheisen
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16 votes
16 votes

Answer:

Explanation:

(a)

User Crawf
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