Complements, Intersections, and Unions

Statistics
Tutor: None Selected Time limit: 1 Day

Sep 28th, 2015

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0.09+0.25+0.19+0.31+0.16+0.00 = 1, so the probabilities add up to 1.

(a) P(R) = 0.09+0.31 = 0.4, P(S) = 0.25+0.16 = 0.41, P(RS) = 0

(b) P(M) = 0.09+0.25+0.19 = 0.53, P(N) = 0.47, P(MN) = 0

(c) P(R+S) = P(R) + P(S) = 0.81

(d) P(R^C) = P(R) = 0.4

(e) N and S are not mutually exclusive because they can both occur at the same time, with probability 0.16, but events N and T are mutually exclusive because the probability that they will both occur at the same time is 0.00, so the occurrence of one eliminates the chance of the other occurring.


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Sep 29th, 2015

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