5.10; 5.14 Nonconforming chips. A supplier sends chips to an automobile manufacturer. 5% of them fail. The failure of one chip is independent of the failure of another chip. Each car uses 12 chips. What is the probability that all 12 chips will work properly (that is, not fail). 1. 0.4596 2. 0.5404 3. 0.0500 4. 0.5000

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?