how do i answer these?

Suppose that a population is known to be normally distributed with p. = 2.000 and o = 220. If a random sample of size n = 8 is selected, calculate the probability that the sample mean will exceed 2,100. P07: > 2,100) = '1 (Round to four decimal places as needed.) The average salary for a certain profession is $62,500. Assume that the standard deviation of such salaries is $36,500. Consider a random sample of 51 people in this profession and let x represent the mean salary for the sample. a Click the icon to view the table of normal curve areas. a. What is '5}? WE A random sample of n = 36 observations is drawn from a population with a mean equal to 19 and a standard deviation equal to 18. Complete parts a through 9 below. a. Give the mean and standard deviation of the (repeated) sampling distribution 27:. u; = D \"i = E (Type integers or decimals.) The time to get an oil change at a certain car dealership a) There are 45 cars booked for oil changes today. What is averages 42.3 minutes with a standard deviation of 8.6 the probability that the jobs can be done in an average of 38 minutes. minutes or less? |:| Use 4 decimal places please. b) Suppose 90 oil changes were done in one particular week. There is a 95% chance that the mean time was more than minutes. |:| Use 1decimal place please. According to a social media blogr time spent on a certain social networking website has a mean of 22 minutes per visit. Assume that time spent on the social networking site per visit is normally distributed and that the standard deviation is 4 minutes. Complete parts (a) through (d) below. a. If you select a random sample of 36 sessions, what is the probability that the sample mean is between 21.5 and 22.5 minutes? |:| (Round to three decimal places as needed.) Given a normal distribution with p. = 51 and o = 8. and given you select a sample of n = 100, complete parts (a) through (d). a. What is the probability that i is less than 49? P()_(