Please help answer these questions and for the first screenshot on random variables , I would prefer another example aside from using dice. I just want to understand better with a real-life examples. thanks

a) What does the symbol xbar represent? in) What does the Greek letter mu(p) represent as it was used in this week's lessons? c) What is the difference between xbar and mu? 3. Mean a) Many people already know how to find the mean (average) of a sample of data by \"adding all the numbers and dividing by the number ofvalues in the dataset." Read Chapter 4. and then describe. in your own words, another method of finding the mean by using the sample space (list of possible values) and probabilities (the technique is in the book}. Create a list of seven, 2digit numbers (with no duplicates) and another set of seven probabilities (with no duplicates]. The probabilities must add to 1. Open R, and manually enter those numbers and their corresponding probabilities to calculate the mean using only addition and multiplication (in other words, enter only the numbers, the plus sign, and the * for multiplication, like on the bottom of Yakir, 2011, p. 57). Paste all the R output into your learning journal. b} Describe in your own words what your calculation is doing and what the answer means. Random variables are used to model situations in which the outcome. before the fact. is uncertain. One component in the model is the sample space. The sample space is the list of all possible outcomes (or a range of possible values]. For each value in the sample space. there is an associated probability. The probability can either be an estimate of something that exists in the real world or it could be an exact value that comes from an ideal distribution. Sometimes identifying the sample space helps to remind you exactly what it is that you are measuring. Think of something that you might want to measure that is affected by random variation. Identify what you want to measure, then describe its (approximate) sample space. Give a rough description of the probabilities associated with those values (you can simply specify ifthey are all the same probability or if values in one range will be more likely than values in another range}. What would you say to a person who says that he or she "knows" what the outcome of an individual observation will be (an outcome of something that has not happened yet that is subject to random error)? When forming your answer to this question you may give an example ofa situation from your own field of interest for which a random variable can serve as a model. There is no requirement to use sources from the Internet, but ifyou use an idea or a quotation from any source. it should be cited (such as putting the author and year at the end ofthe sentence and then adding a reference at the end to describe the source)