Suppose that we have a sample space S = E₁, E2, E3, E4, E5 where E denotes the sample points. Following probability assignments

Question

Suppose that we have a sample space S = E₁, E2, E3, E4, E5 where E denotes the sample points. Following probability assignments apply: P(E₁) = 0.05, P(E₂) = 0.15, P(E3) = 0.3, P(E4) = 0.25, P(E5)= 0.3. a. Does the above assignment of probability make sense to you? And if not then why?

b. Ignoring the errors (if any) what is P(AUB) if A = {E₁, E3} and B = {E₁, E4}?

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