This is the whole question:

QUESTION 17 9 points Save Answer Let D be the daily demand for vegetarian pies at a small bakery, assume we have the following information P(D=0) = 0.1 P(D=1) = 0.3 P(D=2) = 0.3 P(D=3) = 0.1 P(D=4) = 0.1 P(D=5) = 0.1 If any pies are left at the end of the day, they need to be thrown in the bin. So to try to minimize wastage the bakery makes 3 vegetarian pies at the start of the day (and can't get any more that day). Let S be the number they sell that day. a) Find the pmf of S (just write it in a similar format in which I have listed D above) (2 marks) b) Calculate the mean of S (2 marks) c) If the pies cost $2 to make and sell for $5, calculate the expected profit for vegetarian pies. (3 marks) d) If the pies cost $2 to make and sell for $5, calculate the variance in the expected profit for vegetarian pies (it might help to know that Var(S) = 1.31) (2 marks) Please show full working / reasoning. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt Ev Ev v TX x2 X2 ... P O WORDS POWERED BY TINY