12. In Example 12.4 the probability of cancer metastasizing was p(x)  e2.5x/(1  e2.5x).

a. Tabulate values of x, p(x), the odds p(x)/[1p(x)], and the log odds ln{p(x)/[1  p(x)]} for x  0, 1, 2, 3, . . . , 10.

b. Explain what happens to the odds when x is increased by 1. Your explanation should involve the .5 that appears in the formula for p(x).

c. Support your answer to

(b) algebraically, starting from the formula for p(x).

d. For what value of x are the odds 1? 5? 10?