a. The weight, X grams of soup filled in a tin by machine RST is normally distributed with a mean of 190 grams and a standard deviation of 21 grams.

i. Find the probability that a randomly selected tin contains more than 197 grams.

ii. Find the probability that a randomly selected tin will have a weight between 205 grams and 245 grams.

iii. If 125 tins are selected at random, how many tins will have a weight between 205 grams and 245 grams?

iv. If the weight stated on a randomly selected tin is wgram, find the value of w such that P (X < w) = 0.01.