If the basal metabolism rate for people with properly functioning thyroid glands can be modeled by a normal distribution with mean 40 calories per square meter per hour and a standard deviation of 4, find: a. The probability that a healthy person chosen at random will have a rate less than 35
b. The probability that 5 healthy persons chosen at random will all have a rate less than 35
c. The probability that the average rate of 5 healthy persons chosen at random is less than 35
2. A certain aptitude test for job trainees follows a normal distribution with a mean of 80 and a standard deviation of 16.
a. What is the probability that a random sample of 4 trainees will all have scores above 88?
b. What is the probability that the average score for a random sample of 4 trainees will be above 88?