Question 1

Solve the problem.
-A tourist in France wants to visit 7 different cities. How many different routes are possible?

Accepted Answer

A) 7 
B) 720 
C) 5040 
D) 49 
A) 7 
B) 720 
C) 5040 
D) 49

Question 2

Solve the problem.
-A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output. 0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1 Estimate the probability that sales will remain steady.

Accepted Answer

A) 0.125 
B) 0.258 
C) 0.412 
D) 0.194 
A) 0.125 
B) 0.258 
C) 0.412 
D) 0.194

Question 3

If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that are within the same hemisphere.

Accepted Answer

A) 0.25 
B) 0.125 
C) 0.333 
D) 4 
A) 0.25 
B) 0.125 
C) 0.333 
D) 4

Question 4

Determine whether the events are mutually exclusive.
-Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.206. Find the probability that in a given year it will not snow on January 1st in that town.

Accepted Answer

A) 0.794 
B) 4.854 
C) 0.259 
D) 1.206 
A) 0.794 
B) 4.854 
C) 0.259 
D) 1.206

Question 5

Provide an appropriate response.
-Sometimes probabilities derived by the relative frequency method differ from the probabilities expected from classical probability methods. How does the law of large numbers apply in this situation?

Accepted Answer

The law of large numbers state

Question 6

Estimate the probability of the event
-Of 1338 people who came into a blood bank to give blood, 253 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

Accepted Answer

A) 0.157 
B) 0.189 
C) 0.24 
D) 0.108 
A) 0.157 
B) 0.189 
C) 0.24 
D) 0.108

Question 7

Determine whether the events are mutually exclusive.
-A 6-sided die is rolled. Find P(3 or 5).

Accepted Answer

A)  $\frac { 1 } { 36 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  2 
A)  $\frac { 1 } { 36 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  2

Question 8

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 0 = OUT. The output from the simulation was as follows. 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 Estimate the probability that he gets a hit.

Accepted Answer

A) 0.301 
B) 0.476 
C) 0.286 
D) 0.452 
A) 0.301 
B) 0.476 
C) 0.286 
D) 0.452

Question 9

Provide an appropriate response.
-Discuss the advantages and disadvantages of odds.

Accepted Answer

Mathematicians prefer probabil

Question 10

Find the indicated probability
-What is the probability that 4 randomly selected people all have different birthdays?

Accepted Answer

A) 0.9729 
B) 0.9918 
C) 0.9891 
D) 0.9836 
A) 0.9729 
B) 0.9918 
C) 0.9891 
D) 0.9836

Question 11

Provide an appropriate response.
-List two reasons it is better to sample without replacement when testing batches of products. When sampling without replacement, should you use the multiplication rule for independent or dependent events? Explain your answer.

Accepted Answer

The two reasons include the lower chance

Question 12

Find the indicated probability
-In one town, 60% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Accepted Answer

A) 0.01 
B) 0.6 
C) 5.4 
D) 0.15 
A) 0.01 
B) 0.6 
C) 5.4 
D) 0.15

Question 13

The following table contains data from a study of two airlines which fly to Small Town, USA. $\begin{array}{l|cc} 
& \text { Number of flights } & \text {Number of flights } \
& \text { which were on time } & \text { which were late } \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$
If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flig] was on time.

Accepted Answer

A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 87 }$ 
C)  $\frac { 43 } { 76 }$ 
D)  None of the above is correct. which 
A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 87 }$ 
C)  $\frac { 43 } { 76 }$ 
D)  None of the above is correct. which

Question 14

Find the indicated probability
-A: You cook your chicken improperly. B: You get salmonella poisoning.

Accepted Answer

A) Dependent 
B) Independent 
A) Dependent 
B) Independent

Question 15

Determine whether the events are mutually exclusive
-Find a ten dollar bill on the sidewalk. Find a ten dollar bill on the grass.

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 16

Solve the problem.
-A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

Accepted Answer

A)  $3,628,800$ 
B)  $\frac { 1 } { 3,628,800 }$ 
C)  $\frac { 1 } { 100 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $3,628,800$ 
B)  $\frac { 1 } { 3,628,800 }$ 
C)  $\frac { 1 } { 100 }$ 
D)  $\frac { 1 } { 10 }$

Question 17

Solve the problem.
-The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 26 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected?

Accepted Answer

A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 1 } { 7,893,600 }$ 
C)  $\frac { 1 } { 120 }$ 
D)  $\frac { 1 } { 65,780 }$ 
A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 1 } { 7,893,600 }$ 
C)  $\frac { 1 } { 120 }$ 
D)  $\frac { 1 } { 65,780 }$

Question 18

Provide an appropriate response.
-When asked about the probability that he would become a sumo wrestler, Sam replied "slim to none." Relate that phrase to a numeric probability and interpret his meaning.

Accepted Answer

P(sumo wre

Question 19

Find the indicated probability
-A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

Accepted Answer

A) 0.7744 
B) 0.0144 
C) 0.176 
D) 0.7733 
A) 0.7744 
B) 0.0144 
C) 0.176 
D) 0.7733

Question 20

Determine whether the events are mutually exclusive.
-If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

Accepted Answer

A)  $\frac { 1 } { 22 }$ 
B)  $\frac { 9 } { 26 }$ 
C)  $\frac { 11 } { 26 }$ 
D)  $\frac { 25 } { 52 }$ 
A)  $\frac { 1 } { 22 }$ 
B)  $\frac { 9 } { 26 }$ 
C)  $\frac { 11 } { 26 }$ 
D)  $\frac { 25 } { 52 }$

Solve the problem. -A tourist in France wants to visit 7 different cities. How many different routes are possible?

If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that are within the same hemisphere.

Determine whether the events are mutually exclusive. -Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.206. Find the probability that in a given year it will not snow on January 1st in that town.

Provide an appropriate response. -Sometimes probabilities derived by the relative frequency method differ from the probabilities expected from classical probability methods. How does the law of large numbers apply in this situation?

Estimate the probability of the event -Of 1338 people who came into a blood bank to give blood, 253 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

Determine whether the events are mutually exclusive. -A 6-sided die is rolled. Find P(3 or 5).

Provide an appropriate response. -Discuss the advantages and disadvantages of odds.

Find the indicated probability -What is the probability that 4 randomly selected people all have different birthdays?

Provide an appropriate response. -List two reasons it is better to sample without replacement when testing batches of products. When sampling without replacement, should you use the multiplication rule for independent or dependent events? Explain your answer.

Find the indicated probability -In one town, 60% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Find the indicated probability -A: You cook your chicken improperly. B: You get salmonella poisoning.

Determine whether the events are mutually exclusive -Find a ten dollar bill on the sidewalk. Find a ten dollar bill on the grass.

Solve the problem. -A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

Provide an appropriate response. -When asked about the probability that he would become a sumo wrestler, Sam replied "slim to none." Relate that phrase to a numeric probability and interpret his meaning.

Find the indicated probability -A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

Determine whether the events are mutually exclusive. -If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 4: Probability

Solve the problem. -A tourist in France wants to visit 7 different cities. How many different routes are possible?

If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that are within the same hemisphere.

Determine whether the events are mutually exclusive. -Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.206. Find the probability that in a given year it will not snow on January 1st in that town.

Provide an appropriate response. -Sometimes probabilities derived by the relative frequency method differ from the probabilities expected from classical probability methods. How does the law of large numbers apply in this situation?

Estimate the probability of the event -Of 1338 people who came into a blood bank to give blood, 253 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

Determine whether the events are mutually exclusive. -A 6-sided die is rolled. Find P(3 or 5).

Provide an appropriate response. -Discuss the advantages and disadvantages of odds.

Find the indicated probability -What is the probability that 4 randomly selected people all have different birthdays?

Provide an appropriate response. -List two reasons it is better to sample without replacement when testing batches of products. When sampling without replacement, should you use the multiplication rule for independent or dependent events? Explain your answer.

Find the indicated probability -In one town, 60% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Find the indicated probability -A: You cook your chicken improperly. B: You get salmonella poisoning.

Determine whether the events are mutually exclusive -Find a ten dollar bill on the sidewalk. Find a ten dollar bill on the grass.

Solve the problem. -A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

Provide an appropriate response. -When asked about the probability that he would become a sumo wrestler, Sam replied "slim to none." Relate that phrase to a numeric probability and interpret his meaning.

Find the indicated probability -A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

Determine whether the events are mutually exclusive. -If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters