#3. The percent of fat in the bodies of American men is approximately normally distributed with mean equal to 15% and standard deviation equal to 2%. If 20% body fat is considered overweight, what is the probability that in a random sample of 10,000 men fewer than 50 are overweight (compare the normal approx. to the exact binomial solution)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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#3. The percent of fat in the bodies of American men is approximately normally
distributed with mean equal to 15% and standard deviation equal to 2%. If 20% body
fat is considered overweight, what is the probability that in a random sample of
10,000 men fewer than 50 are overweight (compare the normal approx. to the exact binomial
solution)?
Transcribed Image Text:#3. The percent of fat in the bodies of American men is approximately normally distributed with mean equal to 15% and standard deviation equal to 2%. If 20% body fat is considered overweight, what is the probability that in a random sample of 10,000 men fewer than 50 are overweight (compare the normal approx. to the exact binomial solution)?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,