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.