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Probability Models

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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.
Give specific reason for your answer.

a) 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

b) Deal a card from a shuffled deck:
P (clubs) = 12/52 P (Diamonds) = 12/52 P (Hearts) = 12/52 P (Spades) = 16/52

c) 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

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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.
Give specific reason for your answer.

a) 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

(i) Not legitimate. Since each number on the fair die is equally likely to face up, the probability of each number ...

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