A sample of size 36 will be drawn from a population with mean 46 and standard deviation 11. 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 47 and 48. Round the answer to at least four decimal places.
(c) Find the 40th percentile of x. Round the answer to at least two decimal places.
O It is appropriate to use the normal distribution to find probabilities for x.
The probability that x will be between 47 and 48 is
The 40th percentile of x is
O It is not appropriate to use the normal distribution to find probabilities for x.
Please do answer without calculator if possible I can’t afford one and I don’t understand how to do it without.