Anyone know how to work these?

Section 2: Homework - - - 1. Suppose the random variable X is drawn from a population with mean thirty and standard deviation five. a. For samples of size sixty, what is the distribution of the sample mean? b. Is the answer to part a dependent upon the sample size being at least a specific size? 2. Suppose the random variable X is drawn from a normal population with mean fifty and standard deviation two. a. For samples of size sixty, what is the sampling distribution of the sample mean? b. Is the answer to part a dependent upon the sample size being at least a specific size? c. Is the answer to part a dependent upon knowing the distribution of X? 3. The average arm span for females is 63.75 inches with standard deviation 3.4 inches. Certain athletes, such as swimmers, rowers, or boxers benefit from having a large arm span. Suppose forty female swimmers are randomly selected. What is the probability that their average arm span is greater than 65.8 inches? 4. According to the American Music Industry, the length of a song is normally distributed with a mean of 240 seconds and standard deviation thirty seconds. Suppose a random sample of fifteen songs is selected from the morning program. What is the probability that the mean length of the song is between 225 and 260 seconds long? 5. The recovery time taken for shoulder surgery for a college fast-pitch pitcher is normally distributed with mean 8 months and a standard deviation of 1.2 months. If you randomly select 16 college fast- pitch pitchers, what is the probability that their mean recovery time is less than 8.5 months? 6. Suppose the average time employees spend in an online work meeting per day is 2.5 hours with standard deviation 1.05 hours. Further suppose Aaron's Inc. has forty employees. Find the prob- ability that the average time they spend in an online work meeting per day is between 2 and 3 hours