Using the January 1987 data set in Table A.1, define event “A” as Ithaca Tmax > 32F, and event “B” as Canandaigua T max > 32F. a. Explain the meanings of Pr(A), Pr(B), Pr(A, B), Pr(A [B), Pr(A | B),...

Using the January 1987 data set in Table A.1, define event “A” as Ithaca Tmax > 32F, and event “B” as Canandaigua T_max
> 32F.

a. Explain the meanings of Pr(A), Pr(B), Pr(A,
B), Pr(A [B), Pr(A | B), and Pr(B | A).

b. Estimate, using relative frequencies in the data, Pr(A), Pr(B), and Pr(A, B).

c. Using the results from part (b), calculate Pr(A | B).

d. Are events “A” and “B” independent? How do you know?