A certain study conducted in 2000 reported that reported 71.3% of men between the ages of 45 and 54 are considered overweight. (i) If a random sample of 90 men in this age group is selected, what is the probability that more than 70% of them will be overweight? (ii) If a random sample of 60 men in this age group is selected, what is the probability that between 66% and 75% of them are overweight? (iii) If a random sample of 150 men in this age group is selected, what is the probability that between 66% and 75% of them are overweight?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A certain study conducted in 2000 reported that reported 71.3% of men between the
ages of 45 and 54 are considered overweight.
(i) If a random sample of 90 men in this age group is selected, what is the probability
that more than 70% of them will be overweight?
(ii) If a random sample of 60 men in this age group is selected, what is the probability
that between 66% and 75% of them are overweight?
(iii) If a random sample of 150 men in this age group is selected, what is the probability
that between 66% and 75% of them are overweight?

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