1. Quarters are now manufactured so that they have a mean weight of 5.670 g and a standard deviation of 0.062 g, and their weights are normally distributed. A vending machine is configured to accept only those quarters that weight between 5.550 g and 5.790 g. a. If 1 randomly selected quarter is inserted into the vending machine, what is the probability it will be accepted. b. If 4 randomly selected quarters are inserted into the vending machine, what is the probability their mean weight is between 5.550 g and 5.790 g. C. If you own the vending machine, which result is more important: the result from part(a) or the result from part (b). 2. In a survey of 1002 people, 70% said that they voted in a recent presidential election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote. a. Find a 98% confidence interval estimate of the proportion of people who say they voted. b. Are the survey results consistent with the actual voter turnout of 61%? Why or why not