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John bought one of 200 raffle tickets for $10. The sponsors then randomly select one grand prize worth $200, two second prize
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Answer #1

a.

prize (in dollars) P(prize)
200 1/200
100 2/200
50 3/200
0 (200-1-2-3)/200 = 194/200

it is probability distibution because all probabilities are in range [0,1]

and sum of probabilities is 1

b.

E(vale) = sum of value*P

= sum of (prize-cost)*P(prize)

= (200-10)*1/200 + (100-10)*2/200 + (50-10)*3/200 + (0-10)*194/200

= -7.25 dollars

(please upvote)

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