Question
1)Consider the following card game with a well-shuffled deck of cards. Each time you draw a card, the cost is $5. If you draw a
1)Consider the following card game with a well-shuffled deck of cards. Each time you draw a card,
the cost is $5. If you draw a spade or club, you win nothing.If you draw a heart, you win $3. For
any diamond, you win $8.
Construct a probability model for the amount you win at this game.
i
1
2
3
Total
xi
-5
-2
3
P(X=xi)
0.5
0.25
0.25
1.00
i
1
2
3
Total
xi
-5
-2
3
P(X=xi)
0.25
0.25
0.50
1.00
i
1
2
3
Total
xi
0
3
8
P(X=xi)
0.5
0.25
0.25
1.00
i
1
2
3
Total
xi
0
3
8
P(X=xi)
0.25
0.5
0.25
1.00
2). Consider the following card game with a well-shuffled deck of cards. Each time you draw a card,
the cost is $5. If you draw a spade or club, you win nothing.If you draw a heart, you win $3. For
any diamond, you win $8.
Find the expected winnings for a single game.
$8.00
$2.25
-$2.25
$2.75
3) What percent of the standard normal distribution N(LaTeX: \mu=0,\:\sigma=1
= 0 , = 1) is
found in the region Z < 0.96?
16.85%
96.00%
27.72%
83.15%
4) Scores on a certain standardized exam follow a LaTeX: N\left(\mu=125,\:\sigma=15 ight)N ( =
125 , = 15 )distribution. Brittany scored a 147 on the exam.
Compute her Z-score. Round to 2 decimal places as needed.
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