Arandom number generator that returns an integer is run twice. let event a be an odd number on the first run and event b be an even number on the second run. which statement about the conditional probability is true? the conditional probability of event b given event a is p(b|a)=p(a)p(b) when two events are independent. the conditional probability of event b given event a is p(b|a)=p(b) when two events are not independent. the conditional probability of event b given event a is p(b|a)=p(a and b)p(a) when two events are not independent. the conditional probability of event b given event a is p(b|a)=p(b)p(a) when two events are independent.

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.