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and a. Complete the probability tree. b. Compare P(S|D1) and P(S|D2). Which diet plan seems to be more effective? b. Find P(D1|S) and P(D2|S).

and a. Complete the probability tree. b. Compare P(S|D1) and P(S|D2). Which diet plan seems to be more effective? b. Find P(D1|S) and P(D2|S).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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You would like to analyze the effectiveness of two diet plans aimed at weight-loss. You design a randomized experiment in which 30 individuals are randomly assigned to one of two diet plans. Each individual follows the diet plan for one month, after which you record whether atleast 4 lbs were lost over the month. Let D1 and D2 be the events of being as- signed to plan 1 and 2 respectively. Let S be the event that the individual lost atleast 4 lbs in one month, and F be the event that they did not. The findings from the experiment are summarized in the probability tree below. S P(D1 and S) = 0.75 Plan 1 F 0.25 P(D1 and F) = 30 Indi- viduals D2 S P(D2 and S) = 0.55 Plan 2 F 0.45 P(D2 and F) = a. Complete the probability tree. b. Compare P(S|D1) and P(S|D2). Which diet plan seems to be more effective? b. Find P(D1|S) and P(D2|S).
Transcribed Image Text:You would like to analyze the effectiveness of two diet plans aimed at weight-loss. You design a randomized experiment in which 30 individuals are randomly assigned to one of two diet plans. Each individual follows the diet plan for one month, after which you record whether atleast 4 lbs were lost over the month. Let D1 and D2 be the events of being as- signed to plan 1 and 2 respectively. Let S be the event that the individual lost atleast 4 lbs in one month, and F be the event that they did not. The findings from the experiment are summarized in the probability tree below. S P(D1 and S) = 0.75 Plan 1 F 0.25 P(D1 and F) = 30 Indi- viduals D2 S P(D2 and S) = 0.55 Plan 2 F 0.45 P(D2 and F) = a. Complete the probability tree. b. Compare P(S|D1) and P(S|D2). Which diet plan seems to be more effective? b. Find P(D1|S) and P(D2|S).
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