1. Sodas in a can are supposed to contain an average of 12 ounces. This particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. If the can's contents follow a Normal distribution, what is the probability that the mean contents of a six-pack are less than 12 ounces?
A. 0.007
B. 0.1587
C. 0.9928
2. We want to take a sample of 100 items out of a large batch for quality control purposes. Based on past history, the proportion of defective items is 4%. Can we use the Normal approximation to the binomial distribution to find the probability of finding more than 5 defective items in the sample of 100?
A. Yes, because n is large.
B. No
C. We do not have enough information.
3. If I select a random sample of 20 items from a large batch in which there are 5% defective items, what is the chance I find at most two defectives in the sample?
A. 0.1887
B. 0.9246
C. 0.0754