1. The test in a certain course has scores that are normally distributed with a mean of 84.4 with a standard deviation of 8.2. If 27 students are randomly selected, find the probability that the mean of their test scores is less than 81.

Round your answer 4 places after the decimal point.

2. The weights of the fish in a certain lake are normally distributed with a mean of 16.8 pounds and a standard deviation of 5.7 pounds. If 4 fish are randomly selected, find the probability that the mean weight is between 11.1 and 23.9 pounds.

Round your answer 4 places after the decimal point.

3.

Use a continuity correction to describe the region under a normal curve that corresponds to the binomial probability of "less than 58." O The area to the left of 58.5 0 The area to the right of 53.5 0 The area to the left of 58 O The area to the right of 57.5 0 The area to the left of 57.5 0 The area to the right of 58 For the binomial distribution with n = 22 and p = 0.66, is it appropriate to use the normal distribution as an approximation? 0 Normal approximation IS appropriate 0 Normal approximation is NOT appropriate 0 Not enough information is given to determine whether a normal approximation is appropriate