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

Question

In each of the following situations, state whether or not thegiven assignment of probabilities to individual outcomes islegitimate, that is, satisfies the rules of probability. Ifnot, give specific reasons for your answer. (a.) Roll a die and record the count of spots on theup-face: P(1) =0           P(4)= 1/3 P(2) = 1/6        P(5)= 1/6 P(3) = 1/3        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 andenrollment status: P(female full-time) = 0.56 P(female part-time) = 0.24 P(male full-time) = 0.44 P(male part-time) = 0.17 In each of the following situations, state whether or not thegiven assignment of probabilities to individual outcomes islegitimate, that is, satisfies the rules of probability. Ifnot, give specific reasons for your answer. (a.) Roll a die and record the count of spots on theup-face: P(1) =0           P(4)= 1/3 P(2) = 1/6        P(5)= 1/6 P(3) = 1/3        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 andenrollment status: P(female full-time) = 0.56 P(female part-time) = 0.24 P(male full-time) = 0.44 P(male part-time) = 0.17

Explanation / Answer

(a) satisfies the rules of probability since P(1)+...+P(6)=1 (b) satisfies the rules of probability since P(clubs) +....+P(spades)=1 (c) Not satisfies the rules of probability since P(femalefull-time)+...+P(male part-time) not equal 1

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