Week 3 Quiz

Question 1

Out of a survey 1025 people, 572 indicated that they prefer chocolate ice cream. Based on these

results, what is the probability the person would prefer chocolate ice cream?

57.2%

44.2%

50%

55.8%

Question 2

You roll a standard 6-sided die. What is the probability of observing an even number? Express

your answer as a fraction in simplest terms.

2/3

5/6

1/2

1/6

Question 3

You draw one card from a well-shuffled, standard 52-card deck. What is the probability that the

card will be King or a Two? Express your answer as a decimal rounded to 3 places.

0.038

0.500

0.308

0.154

Question 4

You draw one card from a well-shuffled, standard 52-card deck. You also roll a standard 6-sided

die.

True or False? These processes are independent.

True

False

Question 5

You draw one card from a well-shuffled, standard 52-card deck. You also roll a standard 6-sided

die. Calculate the probability of drawing a King on the card and rolling less than a 5 on the die.

(Express the probability as a percent rounded to the nearest tenth).

74.4%

5.1%

6.4%

18.6%

Question 6

Consider drawing a card from a well-shuffled, standard 52-card deck.

True or False? The outcomes of "drawing an Ace" and "drawing a heart" are mutually exclusive.

True

False

Question 7

You draw one card from a well-shuffled, standard 52-card deck. What is the probability that the

card will be an Ace or a Heart? Express your answer as a decimal rounded to 3 places.

0.327

0.077

0.308

0.250

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

Question 9

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

IncorrectQuestion 10

Select all answers that are TRUE about the Normal Distribution and its associated curve.

If a given observation has a Z-score of -1, that observation must be one standard deviation

greater than the mean.

The total area underneath the curve equals 0.5.

The standard normal distribution has a mean of 1 and a standard deviation of 0.

If a given observation has a Z-score of exactly 0, this observation must be equal to the mean of

the distribution.

The total area underneath the normal distribution curve is 1.

Question 11

A Z-score tells you how many standard deviations away and in which direction a given

observation is from the mean.

True

False

Question 12

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%

IncorrectQuestion 13

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.

1.46

Question 14

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.

What percentage of test takers did Brittany score better than? Round to the nearest percent.

93

Question 15

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.

If Brittany needed to score in the top 10% of test takers to earn a scholarship, did she meet her

goal?

No

Yes