A and B are graphical representations of normally distributed random variables X and Y, respectively, with relative positions, shapes, and sizes as shown. Which of the following statements about X and Y are true and which one is false? Explain your answer.

a. Y has a smaller standard deviation than X.

b. The probability that Y falls within 2 standard deviations of its mean is greater than the probability that X falls within 2 standard deviations of its mean.

c. Y has a smaller mean than X.

A B