Please solve with steps included

4. Pew Research reported several facts in a study oil Faeebook. Specically, they noted that the average adult using of Face'booh has 338 friends, though the media is much lower at 200, The standard deviation of number of friends is estimated to be 380,. k a. What does this mean and median tell you about the shape of the distribution of X, where X is the number of F3 friends? b. Suppose I take a sample of 80 F8 users and record how many friends each has; What are the mean and standard deviation of)? (aka standard error)? c. For the sample in (b), what is the probability that the average number of friends in my sample is above 350? (Use the central limit theorem). 5. Based on data from 201?, the average rent ifor a 1bedroom apartment in a big city was estimated to be $1,104 with a standard deviation of $545. You gather data from a random sample of cities for 2018. Download the data from Blackboard (Rent2018.xlsx). Using these data, answer the following questions: a. What is the mean rent across the cities in your sample in 2018? Call this 22013. b. What is the probability that you would observe the average you observed in 2018 (or lower), if the underlying population distribution of rents is the same as in 2017? c. Does your answer to (b) suggest that the population distribution of rents is likely to have changed a lot over the one year, or is it fairly likely that the mean in 2018 was drawn from the same distribution as in 2017