Consider the function for the normal distribution: 2 1 _l() x = e 2 a f( ) m/ 211' a) What is the behavior of this function as x approaches positive and negative infinity? Why is this helpful for calculations? (15 points) b) Find the probability of observing an exact value Z using the integral (i.e. the limits of integration are both Z). You do not have to do the integration of the function itself, simply use f (x) for the PDF and F (x) for the CDF. What characteristic of continuous distributions does this illustrate? (15 points)