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A weight management program monitors the prevalence of obesity based on BMI amon

ID: 3290697 • Letter: A

Question

A weight management program monitors the prevalence of obesity based on BMI among their participants. The following table organizes those participants by gender and age group. Prevalence is reported as a proportion of those monitored during year 1 of the program. Four random participants are chosen for weigh in each week. This week, a 29 year old man, a 37 year old woman, a 19 year old man, and a 67 year old man are chosen.

1) What is the probability that all four participants are not obese?

2) What is the probability that exactly one of the men under 65 is obese?

3) What is the probability that at least one of the three people chosen for weigh in is obese?

Females 0.16 0.21 0.19 0.15 Males 0.24 0.23 0.26 0.19 Age group 18-25 26-40 40-65 65+

Explanation / Answer

1)probability that all four participants are not obese =(1-0.23)*(1-0.21)*(1-0.24)*(1-0.19)=0.3745

2)probability that exactly one of the men under 65 is obese =29 year old man is obese and 19 year old man not+

19 year old man is obese and 29 year old man not=0.23*(1-0.24)+(1-0.23)*0.24=0.3596

3)here please revert on this. As intially they have chosen 4 people but question is asking for 3 people. Please clarify?

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