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)
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