based on question 3 answer question 4 please

The NDP propose a trial tax-increase program. Under this trial the social-insurance numbers (SINS) of all super-rich Ontario residents are placed in a barrel, and a random sample of 1200 of them is selected (assume there are a total of 6000 super-rich Ontario residents) for taxation at the higher rate. The tax-income earned from this program will depend on the total income earned by the 1200 sampled residents. (note: that if the sample consisted of just two individuals, with earnings of say $900,000 and $630,000 then the total income would be $1,530,000) The NDP recognize that this total income is a random variable and have asked you to determine some summaries this random vai ble as specfied below. (state any assumptions when obtaining an answer) (b) (2 points) Its expected value (C) (2 points) Its standard deviation (d) (4 points) Its inter-quartile range (IQR) Continuing on with the previous question. The Progressive Conservatives claim the average of 750 thousands per year (as the expected value for the earnings among Ontario super-rich) is an exaggeration, and have bet the NDP leader that the average annual earnings (per person) obtained from a sample of 1200 super-rich will be less than 748 thousands per year. 4. Assume that the NDP assumptions outlined in previous question) were correct. (a) (2 points) Will the NDP win this bet (yeso, and why)? (b) (3 points) What is the probability that the NDP will win the bet? (C) (3 points) Would your answer to the previous question change if the sample size were doubled? How so (you should recalculate if you think it changes)