1

a) Suppose that the number of steps that Americans take per day is normally distributed with a mean of 5000 steps and a standard deviation of 875 steps. What is the probability that a randomly selected America will have more than 5500 steps per day.

Round your answer to 3 decimal places

b) Suppose that the number of steps that Americans take per day is normally distributed with a mean of 5000 steps and a standard deviation of 875 steps. What number of daily steps separates the lowest 15% of Americans?

c) in 2004, of persons convicted of drug possession and sentenced to prison, the average prison sentence was 3 years with a standard deviation of 0.48 years. A random sample of 36 people convicted of drug possession and sentenced to prison were examined. What is the probability that their mean prison sentence is more than 3.16 years? Round your answer to 3 decimal places.