In each of the following situations, state whether or not the given assignment o

Question

In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, state why it does not satisfy the rules of probability. Roll a die and record the count of spots on the up-face: P(1) = 0 P(2) = 1/6 P(3) = 1/3 P(4) = 1/3 P(5) = 1/6 P(6) = 0 Choose a college student at random and record sex and enrollment status: P(female full-time) = 0.56 P(male full-time) = 0.44 P(female part-time) = 0.24 P(male part-time) = 0.17

Explanation / Answer

The total probability should add up to 1

a) p(1)+p(2)+p(3)+p(4)+p(5)+p(6)=1 so this is legitimate

b) It doesnt add to 1 so not legitimate

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