An experiment is conducted for which the sample space is S S1 ,S SA ,S Is the fo

Question

An experiment is conducted for which the sample space is S S1 ,S SA ,S Is the following probability assignment possible for this experiment? Outcomes S1 S2 S3 S4 S5 1 Probabilities 3 4 11 ls the probability assignment possible for this experiment? O A. No, because the sum of the probabilities of all possible outcomes is not 1. O B. No, because the probabilities are given as fractions instead of decimals. O C. Yes, because both rules for an acceptable probability assignment are satisfied O D. No because not all of the probabilities are between 0 and 1 C E. No, because none of the rules for an acceptable probability assignment are satisfied

Explanation / Answer

(9) A. No because the sum of the probabilities of all possible outcomes is not 1

(10) P(C) = 0.08, P(D) = 0.18, P(C and D) = 0.02

P(C or D) = P(C) + P(D) - P(C and D) = 0.08 + 0.18 - 0.02 = 0.24

P(C' and D') = P(C or D)' = 1 - 0.24 = 0.86

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