ML and Associates released today the results of a survey it conducted over the last four months. The survey showed that 60% of automobile purchasers used the Internet for comparing different models in terms of price, features, fuel consumption, etc. (a) What is the probability that in a sample of 8 automobile buyers, that more than 3 and less than 6 used the Internet to research their automobile information? (b) What are the mean and variance of automobile buyers? (c) ML and Associates released today the results of a survey that 60% of automobile purchasers used the Internet. They have now made a correction: 64% is the correct result; not 60%? How would this correction affect your answer to Part a? (d) This part of the question is not related to Parts (a), (b) and (c). Assume that X and Y are random variables with E(X) = 7 and V(X) = 5. What is the value of E(6X + 8) + V(8X + 10)? (Note: IN ORDER TO GET FULL MARKS, SHOW ALL CALCULATION STEPS. FAILURE TO DO SO WILL RESULT IN A SCORE OF "0".)