You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a) are the outcomes on the two cards independent? why?

(b) find p(3 on 1st card and 10 on 2nd). (enter your answer as a fraction.)

(c) find p(10 on 1st card and 3 on 2nd). (enter your answer as a fraction.)

(d) find the probability of drawing a 10 and a 3 in either order. (enter your answer as a fraction.)

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.