Question 2 (15 Marks) 1 (i) Two events C and D are such that P(C) = ¹, P(C|D) = 2 and P(D|C) = ²3. a. Are the events C a

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Question 2 15 Marks 1 I Two Events C And D Are Such That P C P C D 2 And P D C 3 A Are The Events C A 1 (103.04 KiB) Viewed 28 times

Question 2 (15 Marks) 1 (i) Two events C and D are such that P(C) = ¹, P(C|D) = 2 and P(D|C) = ²3. a. Are the events C and D independent events? b. Are the events C and D mutually exclusive? (ii) A random variable X, defined as the number of attempts it takes to pass a certain biology course, has a probability distribution function given by: 8-x x = 3, 4, 5, 6, 7. 15 p(x) = " [2] [2] a. Construct a probability distribution table for p(x). b. What is the probability of taking at most 5 attempts to pass this biology course? c. What is the standard deviation of X? [5] [2] [4]