The probability density of a continuous variable is given in Figure 2.32. If the points labeled A,B,C,D, and E represent the mode, mean, median, 25th percentile, and the 75th percentile, determine which of the points is the

(a) median of this distribution.

(b) mode of this distribution.

(c) mean of this distribution.

(d) value that only 25% of the values in the population exceed.

(e) value that 50% of the values in the population exceed.

(f) value that 75% of the values in the population are less than.

A B CD A B CD Figure 2.32 The probability distribution of the continuous variable X.