2. (9 points) In each hand of a certain card game, Yubai has probability p of winning, but he is unsure of the value of p. The number of hands that he plays until his first win is assumed to follow a Geometric (p) distribution whose PMF is P(X=x)=p(1p)x1 for x=1,2,. Suppose Yubai plays on n different days and on each day records the number of hands he plays until his first win. His records show the numbers to be x1,x2,,xn, i.e., these are independent observations from the Geometric (p) distribution. Using the asymptotic property of the MLE, construct an approximate 95% confidence interval for p