The mean serum cholesterol level for U.S. adults was 204, with a standard deviation of 42.5 (the units are milligrams per deciliter). A simple random sample of 112 adults is chosen. Use Cumulative Normal Distribution Table if needed. Round the answers to at least four decimal places.Part: 0 / 30 of 3 Parts CompletePart 1 of 3(a) What is the probability that the sample mean cholesterol level is greater than 212?The probability that the sample mean cholesterol level is greater than 212 is 0.0228.Part: 1 / 31 of 3 Parts CompletePart 2 of 3(b) What is the probability that the sample mean cholesterol level is between 192 and 202?The probability that the sample mean cholesterol level is between 192 and 202 is

The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL.  Find the 40th  percentile

A normal population has mean μ =33 and standard deviation σ =7.(a) What proportion of the population is between 18 and 29?(b) What is the probability that a randomly chosen value will be between 26 and 36?

What percent of adult women do you expect to have cholesterol levels between 164 mg/dL and 212 mg/dL? (Draw the normal curve and shade the area)

According to a librarian, the distribution of library fines paid by the students has a mean of RM6 and a standard deviation of RM4. Find the probability that the sample mean will be above 6.3 when the sample size is 35.a.0.95b.0.67c.0.33d.0.48Clear my choice

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts (a)through(d)below. (c) If you select a random sample of n=100,what is the probability that the sample mean will be less than $290,000? The probability that the sample mean will be less than$290,000 is. (Round to four decimal places as needed.