A sample of size 42 will be drawn from a population with mean 52 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 53 and 54

Round the answer to at least four decimal places. (c) Find the 46th percentile of x

. Round the answer to at least two decimal places.

Itisappropriate to use the normal distribution to find probabilities for x . The probability that x will be between 53 and 54 is . The 46th percentile of x is . Itis notappropriate to use the normal distribution to find probabilities for x .