shouldn't c say they are not dependent, since the numbers are different?

Question 90. Page 224 Consider the following scenario: Let P(C) = 0.4, P(D) = 0.5, and P(CID) = 0.6. a. Find P(C and D). b. Are C and D mutually exclusive? Why or why not? c. Are C and D independent events? Why or why not? d. Find P(C or D). e. Find P(D|C). Answer: a. P(C D) = P(C and D) / P(D) 0.6 = P (C and D) / 0.5 P (C and D) = 0.6 x 0.5 P(C and D) = 0.3 b. P (C and D) does not equal 0, so C and D are not mutually exclusive c. P(C/D) = P( C) ? 0.6 = 0.4, these numbers are not equal, so they are not independent events. d. P(C or D) = P(C ) + P(D) - P(C and D) P(C or D) = 0.4 + 0.5 - 0.3 P(C or D) = 0.6 e. P(D/C) = P (D and C) / P (c ) P(D/C) = 0.3 /0.4 P (D/C) = 0.75