A marketing agency has developed three vacation packages to promote a timeshare plan at a new resort. They estimate that 40% of potential customers will choose the Day Plan, which does not include overnight accommodations; 10% will choose the Overnight Plan, which includes one night at the resort; and 50% will choose the Weekend Plan, which includes two nights. Complete parts a and b below. a) Find he expected value of the number of nights potential customers will need. E(X) = nightls) (Simplify your answer. Type an integer or a decimal). b) Find he standard deviation of the number of nights potential customers will need. c = night(s) (Round to two decimal places as needed.)