Suppose that p(n) is a propositional function. determinefor which nonnegative integers n the statement p(n) must be ) p(0) is true; for all nonnegative integers n, if p(n) istrue, then p(n+2) is true. b)p(0) is true, for all nonnegative integers n, if p(n) istrue, then p(n+3) is true. c)p(0) and p(1) are true; for all nonnegative integers n , ifp(n) and p(n+1) are true, then p(n+2) is true. d)p(0) is true; for all nonnegative integers n, if p(n) istrue, then p(n+2) and p(n+3) are true.

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.