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Can you help me with four questions below? Thank you!

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Use the information below for questions 5-6. Professor Can is considering playing a game that
costs $2. The game involves drawing a card from a deck. Can wins nothing, if the card drawn turns
out to be between 2-10. Can wins $3 if this card is a jack, queen or king. Can wins $5 if this card
is an ace, and on top of this, he wins an extra $20 if it's the ace of spades.
Q5. Create a probability model and calculate Can's expected profit per game.
(1.5 points)
Q6. Would you recommend this game to Can as a good way to make money? Explain. (1.5
Page 4 of 11


Q7. A bar's revenue increases by 18% when Cowboys win by playing well and by 9% when
Cowboys win but didn't play that well. It decreases by 12% when Cowboys lose. On a Cowboys
game day, what is the expected revenue change of this bar if each scenario (3 scenarios depicted
above) is equally likely?
(1.5 points)
Q8. What percent of a standard normal distribution M(mean = 0; std = 1) is found in each region?
(1.5 points)
(1) Z<-1.37
(2) Z > 1.43
(3) 0.4 <Z<1.56
( 4 ) 121 > 2.2
(1) =
(2) =
(3) =
(4) =

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