Assume the weights of all packages of a certain brand of cookies are normally distributed with a mean of 910 grams and standard deviation of 9 grams. (4 marks).

What is the probability the weight of a randomly selected package is less than 900 grams? (3 marks).

What is the minimum weight a randomly select package could have so the value is in the top 15% of the weights of all packages? (3 marks).

Suppose we take a random sample of 25 packages of cookies. What is the sampling distribution of the same mean ? (4 marks). What is the probability the random sample has a mean weight between 906 and 908 grams?