1.) The heights of students in a class are normally distributed with mean 56 inches and standard deviation 4 inches. Use the Empirical Rule to determine the interval that contains the middle 68% of the heights.
2.) Suppose that X is normally distributed with a mean of 60 and a standard deviation of 3. What is P(X ≥ 64.05)?
3.) Find a value of c so that P(Z ≥ c) = 0.64.
4.) The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 36 individuals from the US, what is the probability that the sample mean exceeds the W.H.O. minimum?
5.) In a large population, 72% of the households have cable tv. A simple random sample of 100 households is to be contacted and the sample proportion computed. What is the probability that the sampling distribution of sample porportions is less than 68%?