Download Each football game begins with a coin toss in the presence of the

1. Each football game begins with a coin toss in the presence of the captains from the two
opposing teams.
(The winner of the toss has the choice of goals or of kicking or receiving the first
kickoff.)
A particular football team is scheduled to play 10 games this season. Let x = the number
of coin tosses that the team captain wins during the season.
Using the appropriate table in your textbook, solve for P(4 ≤ x ≤ 8).
A. 0.171
B. 0.377
C. 0.246
D. 0.817
2. The probability of an offender having a speeding ticket is 35%, having a parking ticket is
44%, having both is 12%. What is the probability of an offender having either a speeding
ticket or a parking ticket or both?
A. 67%
B. 55%
C. 79%
D. 91%
3. A breeder records probabilities for two variables in a population of animals using the
two-way table given here. Given that an animal is brown-haired, what is the probability
that it's short-haired?
Brown-haired
Short-haired
Shaggy
0.06
0.51
Blond
0.23
0.20
A. 0.06
B. 0.222
C. 0.105
D. 0.0306
4. The area under the normal curve extending to the right from the midpoint to z is 0.17.
Using the standard normal table on the textbook's back end sheet, identify the relevant z
value.
A. 0.44
B. –0.0675
C. 0.4554
D. 0.0675
5. The possible values of x in a certain continuous probability distribution consist of the
infinite number of values between 1 and 20. Solve for P(x = 4).
A. 0.00
B. 0.05
C. 0.03
D. 0.02
6. A new car salesperson knows that she sells a car to one customer out of 20 who enter the
showroom. Find the probability that she'll sell a car to exactly two of the next three
customers.
A. 0.0071
B. 0.9939
C. 0.0075
D. 0.1354
7. An apartment complex has two activating devices in each fire detector. One is smokeactivated and has a probability of .98 of sounding an alarm when it should. The second is
a heat-sensitive activator and has a probability of .95 of operating when it should. Each
activator operates independently of the other. Presume a fire starts near a detector. What
is the probability that both activating devices will work properly?
A. 0.049
B. 0.965
C. 0.9895
D. 0.931
8. A breeder records probabilities for two variables in a population of animals using the
two-way table given here. Let A be the event "shaggy and brown-haired." Compute
P(Ac).
Short-haired
Shaggy
Brown-haired Blond
0.06
0.23
0.51
0.20
A. 0.77
B. 0.49
C. 0.51
D. 0.36
9. From an ordinary deck of 52 playing cards, one is selected at random. What is the
probability that the selected card is either an ace, a queen, or a three?
A. 0.25
B. 0.2308
C. 0.0769
D. 0.3
10. In the binomial probability distribution, p stands for the
A. number of successes.
B. number of trials.
C. probability of failure in any given trial.
D. probability of success in any given trial.
11. Approximately how much of the total area under the normal curve will be in the interval
spanning 2 standard deviations on either side of the mean?
A. 95.5%
B. 68.3%
C. 99.7%
D. 50%
12. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger
sales are normally distributed. If hourly sales fall between 24 and 42 burgers 49.85% of
the time, the standard deviation is _______ burgers.
A. 3
B. 18
C. 9
D. 6
13. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next
January, Kansas will experience exactly two tornadoes?
A. 0.4076
B. 0.2226
C. 0.1304
D. 0.2087
14. Consider an experiment that results in a positive outcome with probability 0.38 and a
negative outcome with probability 0.62. Create a new experiment consisting of repeating the
original experiment 3 times. Assume each repetition is independent of the others. What is the
probability of three successes?
A. 0.238
B. 0.762
C. 0.055
D. 1.14
15. Let event A = rolling a 1 on a die, and let event B = rolling an even number on a die. Which
of the following is correct concerning these two events?
A. On a Venn diagram, event B would contain event A.
B. Events A and B are exhaustive.
C. On a Venn diagram, event A would overlap event B.
D. Events A and B are mutually exclusive.
16. A continuous probability distribution represents a random variable
A. having an infinite number of outcomes that may assume any number of values within an
interval.
B. that has a definite probability for the occurrence of a given integer.
C. that's best described in a histogram.
D. having outcomes that occur in counting numbers.
17. Using the standard normal table on page 822 of the textbook, determine the solution for
P(0.00 ≤ z ≤ 2.01).
A. 0.0222
B. 0.1179
C. 0.4821
D. 0.4778
18. If event A and event B are mutually exclusive, P(A or B) =
A. P(A) + P(B).
B. P(A) – P(B).
C. P(A) + P(B) – P(A and B).
D. P(A + B).
19. A credit card company decides to study the frequency with which its cardholders charge for
items from a certain chain of retail stores. The data values collected in the study appear to be
normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged
purchases.
Out of the total number of cardholders, about how many would you expect are charging 27 or
more purchases in this study?
A. 68.3%
B. 47.8%
C. 15.9%
D. 94.8%
20. Find the z-score that determines that the area to the right of z is 0.8264.
A. –1.36
B. –0.94
C. 0.94
D. 1.36