1. Suppose 2 batteries are randomly chosen from a bin containing 10 batteries, of which 7 are good and 3 are defective. Let x denote the number of defective batteries chosen.
a. List all of the possible values of x
b. Set up the probability distribution
c. Find the mean, and the standard deviation
2. The distribution for the time it takes a student to complete the fall class registration has a mean of 94 minutes and a standard deviation of 10 minutes. For a random sample of 80 students, determine the mean and standard deviation of the sample mean. What can you say about the sampling distribution of the sample mean and why?