Week 3 Quiz Question 1 Out of a survey 1025 people, 572 indicated that they prefer chocolate
Question:
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