1) A stationary store has decided to accept a large shipment of ball-point pens if an inspection of15randomly selected pens yields no more than two defective pens.

(a) Find the probability that this shipment is accepted if10%of the total shipment is defective. (Use 3 decimal places.)

(b) Find the probability that this shipment is not accepted if20%of the total shipment is defective. (Use 3 decimal places.)

2)In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recenteightshark attacks, all of which were nonfatal. Letrbe the number of nonfatal attacks out of a random sample ofeightshark attacks

(b) What is the probability alleightshark attacks are nonfatal? (Round your answer to three decimal places.)

(c) What is the probability thatfiveor more of theeightshark attacks are nonfatal? (Round your answer to three decimal places.)

(d) What is the expected number of nonfatal shark attacks out of theeight?

What is the standard deviation of ther-probability distribution? (Round your answer to three decimal places.)