1. A certain type of surgery in a certain hospital results in survival in 98.5% of the cases. Assume that the life of a person undergoing this surgery is independent of any others who have undergone this same surgery.

1a. A brief statement explaining why this operation is a Bernoulli Trial.

If 9 people have this heart surgery at this hospital, find the probability that the following number of people will survive the operation.

1b. Exactly 6

1c. At least 7

1d. At most 1

2. A company places two dozen of the same product in one box. Before sealing, three of the products are tested. If any of them is defective the entire box will be rejected. Suppose that the box contains five defective products and nineteen non-defective products.

2a. What is the probability that the box will be rejected?

2b. What is the probability that the box will not be rejected?