please do the following questions on paper :

1.A bakery bakes 78 pies in a week. For quality control purposes, the mass of each pie is measured and recorded. The mean mass is 650 g and the standard deviation is 5.2 g.

a. Identify the type of distribution.

b. What is the probability that the mass of a randomly selected pie is between 643 g and 653 g?

2. You have a standard deck of 52 cards. You randomly pick a card from the deck and then put it back. You repeat this four more times (picking a total of five cards) and record the number of face cards you pick (there are 12 face cards in a deck).

a.Identify the type of distribution.

b.Determine the probability that you select exactly three face cards.

c.Determine the expected value for the number of face cards selected

3.You have a set of 9 wooden blocks. Each of the blocks is labelled with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80, 90.Each number is used on only one block. You randomly select one block.

a. Identify the type of distribution.

b.Determine the expected value of the blocks