Question 1

Suppose you are playing a game of chance. If you bet $5 on a certain event, you will collect $115 (including your $5 bet)if you win. Find the odds used for determining the payoff.

Accepted Answer

A)  1 : 22 
B)  23 : 1 
C)  22 : 1 
D)  115 : 120 
A)  1 : 22 
B)  23 : 1 
C)  22 : 1 
D)  115 : 120

Question 2

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results.
The probability that when 75 people are surveyed, at least five of them have the same
birth date. (Ignore leap years.)

Accepted Answer

Answers may vary. Begin by representing

Question 3

Interpret a probability of 0.002 of an event occurring in terms of odds (one in some value, such as 1/10)and being a significant or not a significant event.

Accepted Answer

A probability of @#LAT-DLM& (equivalent

Question 4

Flip a coin twice. Create the sample space of possible outcomes

Accepted Answer

A)  {HH, TT, HT, HT} 
B)  {HH, HT, TH, TT} 
C)  {HH, HT, TT} 
D)  {HT, TH} 
A)  {HH, TT, HT, HT} 
B)  {HH, HT, TH, TT} 
C)  {HH, HT, TT} 
D)  {HT, TH}

Question 5

The table below shows the soft drinks preferences of people in three age groups The table below shows the soft drinks preferences of people in three age groups.
$\begin{array}{l|ccc} 
& \text { Cola } & \text { Root beer } & \text { Lemon-lime } \
\hline \text { Under 21 years of age } & 40 & 25 & 20 \
\text { Between 21 and 40 } & 35 & 20 & 30 \
\text { Over 40 years of age } & 20 & 30 & 35
\end{array}$

If one of the 255 subjects is randomly selected, find the probability (in fractional form) that the person is over 40 and drinks cola.

Accepted Answer

A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 4 } { 51 }$ 
D)  None are correct. 
A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 4 } { 51 }$ 
D)  None are correct.

Question 6

Determine whether the events are disjoint. Get a full-time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Accepted Answer

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

Question 7

Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative results, including 3 false negative results. What is the probability that a randomly selected subject did not use marijuana?

Accepted Answer

A)  0.523 
B)  0.477 
C)  0.593 
D)  0.533 
A)  0.523 
B)  0.477 
C)  0.593 
D)  0.533

Question 8

Assume that a crucial machine part has a 5% rate of failure in six months, based on company data. Compare the probability of having a single part fail during a six month
period to the probability of having a second independent backup part and having both of
them fail in 6 months. Describe the improved reliability gained with a backup part.

Accepted Answer

A single machine part failure rate in 6

Question 9

The following table contains data from a study of two airlines which fly to Small Town, USA. If one flight is selected, find P(on time and Upstate Airlines). $\begin{array}{l|cc} 
& \begin{array}{l}
\text { Number of flights } \
\text { which were on time }
\end{array} & \begin{array}{c}
\text { Number of flights } \
\text { which were late }
\end{array} \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$

Accepted Answer

A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None are correct 
A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None are correct

Question 10

On an exam on probability concepts, Sue had an answer of $\frac { 13 } { 8 }$ for one problem. Explain how she knew that this result was incorrect.

Accepted Answer

Probabilit

Question 11

Based on a recent poll, there is a  50-50  chance that a randomly selected adult has pierced ears. Express the indicated degree of likelihood as a probability value between 0 and 1.

Accepted Answer

A)  $1 / 2 \text { or } 0.5$ 
B)  $1 / 50 \text { or } 0.02$ 
C)  $1 / 4 \text { or } 0.25$ 
D)  $3 / 4 \text { or } 0.75$ 
A)  $1 / 2 \text { or } 0.5$ 
B)  $1 / 50 \text { or } 0.02$ 
C)  $1 / 4 \text { or } 0.25$ 
D)  $3 / 4 \text { or } 0.75$

Question 12

Tomorrow Freddy is playing in an important soccer game. He reasons that there are three possible outcomes (they could win, tie, or lose)so the probability of winning must be 1/3. Is
this reasoning correct? Why or why not?

Accepted Answer

No. The reasoning is not correct because

Question 13

The table below describes the smoking habits of a group of asthma sufferers $$\begin{array} { r | c c c c c } 
& \text { Nonsmoker } & \begin{array} { c } 
\text { Occasional } \
\text { Smoker }
\end{array} & \begin{array} { c } 
\text { Regular } \
\text { Smoker }
\end{array} & \begin{array} { c } 
\text { Heavy } \
\text { Smoker }
\end{array} & \text { Total } \
\hline \text { Men } & 431 & 50 & 71 & 49 & 601 \
\text { Women } & 382 & 48 & 86 & 39 & 555 \
\text { Total } & 813 & 98 & 157 & 88 & 1156
\end{array}$$ If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker.

Accepted Answer

A)  0.511 
B)  0.554 
C)  0.596 
D)  0.557 
A)  0.511 
B)  0.554 
C)  0.596 
D)  0.557

Question 14

Fred and Ed each have a bag of candy containing a lemon drop (LD), a cherry drop(CD), and a lollipop (LP). Each takes out a piece from their own bag and eats it. What are the possible pairs of candies eaten?

Accepted Answer

A)  LD-CD, LD-CD, LD-CD, LD-LP, LD-LP, LD-LP, CD-LP, CD-LP, CD-LP 
B)  CD-LD, LD-LP, LP-CD, LP-LP, LD-LD 
C)  LD-LD, CD-LD, LP-LP, LD-LP, CD-CD, LD-LP, LP-CD, CD-LD, LP-LD 
D)  LD-LD, CD-LD, LP-LP, LD-CD, CD-CD, LD-LP, LP-CD, CD-LP, LP-LD 
A)  LD-CD, LD-CD, LD-CD, LD-LP, LD-LP, LD-LP, CD-LP, CD-LP, CD-LP 
B)  CD-LD, LD-LP, LP-CD, LP-LP, LD-LD 
C)  LD-LD, CD-LD, LP-LP, LD-LP, CD-CD, LD-LP, LP-CD, CD-LD, LP-LD 
D)  LD-LD, CD-LD, LP-LP, LD-CD, CD-CD, LD-LP, LP-CD, CD-LP, LP-LD

Question 15

Of 1232 people who came into a blood bank to give blood, 397 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)  0.373 
B)  0.241 
C)  0.322 
D)  0.29 
A)  0.373 
B)  0.241 
C)  0.322 
D)  0.29

Question 16

Express the indicated degree of likelihood as a probability value. "Your mother could not have died two years before you were born."

Accepted Answer

A)  0 
B)  0.5 
C)  1 
D)  0.25 
A)  0 
B)  0.5 
C)  1 
D)  0.25

Question 17

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Accepted Answer

A)  $\frac { 334 } { 365 }$ 
B)  $\frac { 31 } { 334 }$ 
C)  $\frac { 31 } { 365 }$ 
D)  $\frac { 11 } { 12 }$ 
A)  $\frac { 334 } { 365 }$ 
B)  $\frac { 31 } { 334 }$ 
C)  $\frac { 31 } { 365 }$ 
D)  $\frac { 11 } { 12 }$

Question 18

If a game were "fair," the payoff on a bet would be the same as the odds for the event. In one game, the odds for winning are 1:13. If the game were "fair," what would the payoff be
for a $5 bet? Of course, games in casinos are designed to make a profit for the casino
investors. Supposing the casino makes the payoff at 1:11 odds, what profit does the casino
make on your winning bet?

Accepted Answer

In a "fair" game the payoff wo

Question 19

Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.

Accepted Answer

A)  0.0082 
B)  0.3333 
C)  0.00000751 
D)  0.00000002 
A)  0.0082 
B)  0.3333 
C)  0.00000751 
D)  0.00000002

Question 20

Compare probabilities and odds. How can you convert odds to probabilities?

Accepted Answer

Probabilities compare the number of occu

Suppose you are playing a game of chance. If you bet $5 on a certain event, you will collect $115 (including your $5 bet)if you win. Find the odds used for determining the payoff.

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results. The probability that when 75 people are surveyed, at least five of them have the same birth date. (Ignore leap years.)

Interpret a probability of 0.002 of an event occurring in terms of odds (one in some value, such as 1/10)and being a significant or not a significant event.

Flip a coin twice. Create the sample space of possible outcomes

Determine whether the events are disjoint. Get a full-time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative results, including 3 false negative results. What is the probability that a randomly selected subject did not use marijuana?

The following table contains data from a study of two airlines which fly to Small Town, USA. If one flight is selected, find P(on time and Upstate Airlines). Number of flights which were on time Number of flights which were late Podunk Airlines 33 6 Upstate Airlines 43 5

On an exam on probability concepts, Sue had an answer of $\frac { 13 } { 8 }$ for one problem. Explain how she knew that this result was incorrect.

Based on a recent poll, there is a 50-50 chance that a randomly selected adult has pierced ears. Express the indicated degree of likelihood as a probability value between 0 and 1.

Tomorrow Freddy is playing in an important soccer game. He reasons that there are three possible outcomes (they could win, tie, or lose)so the probability of winning must be 1/3. Is this reasoning correct? Why or why not?

Fred and Ed each have a bag of candy containing a lemon drop (LD), a cherry drop(CD), and a lollipop (LP). Each takes out a piece from their own bag and eats it. What are the possible pairs of candies eaten?

Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

Express the indicated degree of likelihood as a probability value. "Your mother could not have died two years before you were born."

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.

Compare probabilities and odds. How can you convert odds to probabilities?

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Discrete Probability Distributions

Normal Probability Distributions

Estimating Parameters and Determining Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

Exam 4: Probability

Suppose you are playing a game of chance. If you bet $5 on a certain event, you will collect $115 (including your $5 bet)if you win. Find the odds used for determining the payoff.

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results. The probability that when 75 people are surveyed, at least five of them have the same birth date. (Ignore leap years.)

Interpret a probability of 0.002 of an event occurring in terms of odds (one in some value, such as 1/10)and being a significant or not a significant event.

Flip a coin twice. Create the sample space of possible outcomes

Determine whether the events are disjoint. Get a full-time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative results, including 3 false negative results. What is the probability that a randomly selected subject did not use marijuana?

The following table contains data from a study of two airlines which fly to Small Town, USA. If one flight is selected, find P(on time and Upstate Airlines). Number of flights which were on time Number of flights which were late Podunk Airlines 33 6 Upstate Airlines 43 5

On an exam on probability concepts, Sue had an answer of 138\frac { 13 } { 8 }813​ for one problem. Explain how she knew that this result was incorrect.

Based on a recent poll, there is a 50-50 chance that a randomly selected adult has pierced ears. Express the indicated degree of likelihood as a probability value between 0 and 1.

Tomorrow Freddy is playing in an important soccer game. He reasons that there are three possible outcomes (they could win, tie, or lose)so the probability of winning must be 1/3. Is this reasoning correct? Why or why not?

Fred and Ed each have a bag of candy containing a lemon drop (LD), a cherry drop(CD), and a lollipop (LP). Each takes out a piece from their own bag and eats it. What are the possible pairs of candies eaten?

Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

Express the indicated degree of likelihood as a probability value. "Your mother could not have died two years before you were born."

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.

Compare probabilities and odds. How can you convert odds to probabilities?

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Discrete Probability Distributions

Normal Probability Distributions

Estimating Parameters and Determining Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

On an exam on probability concepts, Sue had an answer of $\frac { 13 } { 8 }$ for one problem. Explain how she knew that this result was incorrect.