1. A population of values has a normal distribution with =152.3 and =15.2 You intend to draw a random sample of size n=133 Find the probability that a single randomly selected value is between 149 and 155.6. P(149 < X < 155.6) = Find the probability that a sample of size n=133 is randomly selected with a mean between 149 and 155.6. P(149 < M < 155.6) =

2. On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 391 pounds and a standard deviation of 61 pounds. The cow transport truck holds 17 cows and can hold a maximum weight of 7106. If 17 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7106? (This is the same as asking what is the probability that their mean weight is over 418.) P(M>418)= Give answer correct to four decimal places.

3. A particular fruit's weights are normally distributed, with a mean of 498 grams and a standard deviation of 22 grams. If you pick 16 fruits at random, then 4% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.