The serum cholesterol level of u. s. females 20 years old or older is normally distributed with a mean of 200 mg/dl (milligrams per deciliter) and a standard deviation of 44 mg/dl. let x represent serum total cholesterol level for u. s. females 20 years old or older. one outcome of interest is the probability that a woman has a serum cholesterol level greater than 266 mg/dl. if 300 u. s. women 20 yrs old or older are randomly selected, how many of them would we expect to have a serum cholesterol level greater than 266 mg/dl? choose the closest value. (hint: calculate the probability of interest first)

Question

Mathematics

Amina Kelley

29 June, 09:35

The serum cholesterol level of u. s. females 20 years old or older is normally distributed with a mean of 200 mg/dl (milligrams per deciliter) and a standard deviation of 44 mg/dl. let x represent serum total cholesterol level for u. s. females 20 years old or older. one outcome of interest is the probability that a woman has a serum cholesterol level greater than 266 mg/dl. if 300 u. s. women 20 yrs old or older are randomly selected, how many of them would we expect to have a serum cholesterol level greater than 266 mg/dl? choose the closest value. (hint: calculate the probability of interest first)

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Emily Mcgee · Answer 1

P (x>266)

=P (Z> (266-200) / 44)

=P (Z>1.5)

=1-P (Z<1.5)

=1-0.9332

=0.0668

This is the probability that the cholesterol level of a woman is >266mg/dL

when we select 300 US women and we need to find the number of women with a high cholesterol level

we have a binomial distribution with n=300, p=0.0668

So

Mean=np=36.74

So

about 37 women are expected to have cholesterol level>266mg/dL