Slices of pizza for a certain brand of pizza have a mass that isapproximately normally distributed with a mean of 67.1 grams and astandard deviation of 2.2 grams. a) For samples of size 12 pizzaslices, what is the standard deviation for the samplingdistribution of the sample mean? State answer to five decimalplaces. b) What is the probability of finding a random slice ofpizza with a mass of less than 66.5 grams? State the answer to fourdecimal places. c) What is the probability of finding a 12 randomslices of pizza with a mean mass of less than 66.5 grams? State theanswer to four decimal places. d) What sample mean (for a sample ofsize 12) would represent the bottom 15% (the 15th percentile)?State answer to one decimal place. grams