A sample of size 31 will be drawn from a population with mean 39 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 40 and 41. Round the answer to at least four decimal places.rd(c) Find the 33 percentile of x. Round the answer to at least two decimal places.It is appropriate to use the normal distribution to find probabilities for x.The probability that x will be between 40 and 41 isThe 33rd percentile of x isIt is not appropriate to use the normal distribution to find probabilities for x.