Suppose 30% of Ontarian adults oppose the cancellation of the cap-and-trade plan for reducing carbon emissions. A random sample of 10 Ontarian adults is selected. Assuming independence, use the binomial formula to answer the following questions.

(a) What is the probability that at most 2 of those selected oppose cancelling the plan?

(b) What is the probability that at least 1 Ontarian adult selected opposes cancelling the plan?

(c) What is the probability that exactly 8 of the 10 selectedsupportcancelling the plan?

(d) How many Ontarian adults would you randomly select if you expect to find 165 adults who oppose cancelling the cap-and-trade plan?

(e) In a sample of 800 Ontarian adults, what is the standard deviation of the number who oppose cancelling the cap-and-trade plan?