What is the solution

uilitiona, using correct mathematical and stat istical notation QUESTION 1 For a certain province, interest is in the variableN hold In 2016 the mean annual household income wa standard deviation 12N (x 10000) rands resear household income (a; in units of 10000 r why she plans to choose 200 househ their annual incomes (in units ot 1000 probabilistic expectations regarding the sam present year is unchanged from 2016 Suppose first that n is unchang is in the variable annual income (x10000) rands 20 1 x 1oo00) rands with a A researcher wants to know whether the mean annual ands) of the present year will be larger than 201 That is olds randomly (at the end of the current year) and measure rands) The questions below will give an analysis of the l always be assumed that for the le mean, V tt will (a) Determine the probability distribution of X (b) What is the probability that the sample mean of a sa mple of 200 households cups will be more than 20? (c) (i) Calculate the probability P (#x-25#x