1. The probabilities that a batch of 4 computers will contain 1, 2, 3, and 4 defective computers are 0.6274, 0.3102, 0.0575, and 0.001 respectively.

a. Set up a probability distribution to describe this situation.

b. Based on these probabilities how many defective computers would you expect to find in this batch?

c. How much would this value reasonably be expected to fluctuate?

d. What’s the probability of finding at most 2 defective computers in this batch?

2. Based on past records, a car insurance company has determined that 9% of all drivers were involved in a car accident last year.

a. If 12 drivers were randomly selected, what is the probability of getting 0 who were involved in a car accident last year?

b. If 12 drivers were randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?

Thanks!!