1. A company determined that the probability of their production process producing a non defective product is 80% and the probability of a defective product is 20%. If we assume that picking two successive products at random are independent events, what is the probability of picking two successive products and they are both defective?

2. A cell phone company found that the buying preferences of its customers can be described below: text messaging no text messaging total camera 0.40 0.15 0.55 no camera 0.25 0.20 0.45 total 0.65 0.35 1.00

A. Find the probability that customers prefer phones with both text messaging capability and camera.

B. The probability that customers do not care for phones with both text messaging ability and camera.

C. The conditional probability that customers like text messaging capability given that the phone has camera.

D. The conditional probability that customers like phones with camera capability given that the phone has text messaging capability.