Geno (the women’s basketball coach for UConn) goes to the grocery store and finds that Wheaties is placing pictures of UConn women’s basketball players inside its cereal boxes. A total of 6 players are featured, each appearing with equal probability. Find the expected number of boxes Geno needs to buy in order to obtain pictures of 3 different players. Hint: let X be the total number of cereal boxes that Geno buys and let Ni be the number of boxes that Geno buys to get the ith player after obtaining the i − 1th player. Then, X = N1 + N2 + N3. What type of random variable is each Ni?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.