A sample of size 37 will be drawn from a population with mean 45 and standard deviation 9. Use the TI-84 Plus calculator.
(a) Is it appropriate to use the normal distribution to find probabilities for x?
(b) Find the probability that x will be between 46 and 47. Round the answer to at least four decimal places.
(c) Find the 39th percentile of x. Round the answer to at least two decimal places.