SECTION A: Questions from Chapter 3: Suggest any two valid probability values, 0 < P(A) < 1 and 0 < P(B) < 1, which are such that A and B form a sample space S with P(A ∩ B) = 0.3 and P(A) ≠ P(B). Use the values of P(A) and P(B) you have suggested to find: a) P(A ∪ B) b) P(B | A)
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3 and P(A) ≠ P(B). Let's choose: P(A) = 0.6 P(B) = 0.4 Show more…
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Questions: 1. (6 marks): Suggest any two non-zero valid probability values, P(A) and P(B), which are such that A and B are from a sample space S with P(A∩B) = 0.2 and P(A) > P(B). Use the values of P(A) and P(B) you have suggested to find: a) P(A∪B) b) P(A∩B')
Sri K.
A. Consider the probability model with sample space {A, B, C} and P(A) = 0.6, P(B) = 0.1, P(C) = 0.3. Then (a) P(A or C) = (b) P(A and B) = B. Consider the probability model with sample space {A, B, C} and P(A) = 0.3, P(B) = 0.3, P(C) = 0.4. Then (a) P(B or C) = (b) P(A and C) =
Ahmad R.
Question 1 A sample space S consists of four elements, that is, S = {a1, a2, a3, a4}. For each of the following functions, determine whether S becomes a probability space. Explain your answer briefly in each case. 1. P(a1) = 1/2 P(a2) = 1/3 P(a3) = 1/4 P(a4) = 1/5 2. P(a1) = 1/2 P(a2) = 1/4 P(a3) = 1/8 P(a4) = 1/8 3. P(a1) = 1/2 P(a2) = 1/4 P(a3) = -1/4 P(a4) = 1/2 4. P(a1) = 1/2 P(a2) = 1/4 P(a3) = 1/4 P(a4) = 0
Adi S.
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