The manufacturer of cans of tuna weighing 250 grams, tells us that the net weight is a random variable with a mean of 250 grams and a standard deviation of 3.5 grams. Say, we take a random sample of 30 tuna cans.

a) SHOWING YOUR WORINGS, find the probability that the sample mean is greater than 251 grams. Assume the conditions are satisfied and do not need to be checked here.

b) Say, you are now told that the distribution of tuna can weights is skewed to the right. Explain in WORDS if you can or cannot find the probability that one randomly selected tuna can had a weight greater than 251 grams. Do not calculate the probability here.