1. Suppose that all coins are unbiased. Mary tosses n+1 coins andJohn tosses n coins.. What is the probability that Mary gets moreheads than John?

5.Suppose that a matched-pairs design gave rise to the following data:Assume that μ1 and μ2. are the corresponding populationmeans, and that the differences x1-x2. is approximatelynormally distributed. At 90% confidence interval for μ1-μ2, isgiven by (close to)______