Question 1

Find the indicated probability.
-The probability that an event will occur is 0.2. What is the probability that the event will not occur?

Accepted Answer

A) 0 
B)  $ \frac { 1 } { 4 }$ 
C) 0.8 
D) None of the above is correct. 
A) 0 
B)  $ \frac { 1 } { 4 }$ 
C) 0.8 
D) None of the above is correct.

Question 2

Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the 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

Provide a written description of the complement of the given event.
-The table below describes the smoking habits of a group of asthma sufferers. $\begin{array}{r|cccc} 
&& \text {light}& \text {heavy}\
& \text { Nonsmoker } & \text { smoker  } & \text {smoker } & \text { Total } \
\hline \text { Men } & 417 & 34 & 31 & 482 \
\text { Women } & 367 & 45 & 47 & 459 \
\text { Total } & 784 & 79 & 78 & 941
\end{array}$
If two different people are randomly selected from the 941 subjects, find the probability that they are both wome:

Accepted Answer

A)  $0.2377$ 
B)  $0.2379$ 
C)  $0.1521$ 
D)  $0.000004747$ 
A)  $0.2377$ 
B)  $0.2379$ 
C)  $0.1521$ 
D)  $0.000004747$

Question 4

Determine whether the events are mutually exclusive
-Go to a formal dinner affair. Wear blue jeans.

Accepted Answer

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

Question 5

Solve the problem.
-A state lottery involves the random selection of six different numbers between 1 and 29. If you select one six number combination, what is the probability that it will be the winning combination?

Accepted Answer

A)  $\frac { 1 } { 720 }$ 
B)  $\frac { 1 } { 594,823,321 }$ 
C)  $\frac { 1 } { 342,014,400 }$ 
D)  $\frac { 1 } { 475,020 }$ 
A)  $\frac { 1 } { 720 }$ 
B)  $\frac { 1 } { 594,823,321 }$ 
C)  $\frac { 1 } { 342,014,400 }$ 
D)  $\frac { 1 } { 475,020 }$

Question 6

Find the indicated probability.
-A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one.

Accepted Answer

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

Question 7

Answer the question.
-Which of the following cannot be a probability?

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B) -1 
C) 0 
D) 1 
A)  $\frac { 1 } { 2 }$ 
B) -1 
C) 0 
D) 1

Question 8

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 fligl that it was late.

Accepted Answer

A)  $\frac { 5 } { 48 }$ 
B)  $\frac { 5 } { 87 }$ 
C)  $\frac { 5 } { 11 }$ 
D)  None of the above is correct. 
A)  $\frac { 5 } { 48 }$ 
B)  $\frac { 5 } { 87 }$ 
C)  $\frac { 5 } { 11 }$ 
D)  None of the above is correct.

Question 9

Answer the question
-In a certain town, 10% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

Accepted Answer

A) 1 : 9 
B) 9 : 1 
C) 9 : 10 
D) 1 : 10 
A) 1 : 9 
B) 9 : 1 
C) 9 : 10 
D) 1 : 10

Question 10

Answer the question.
-What is the probability of an impossible event?

Accepted Answer

A) -1 
B) 1 
C) 0 
D) 0.1 
A) -1 
B) 1 
C) 0 
D) 0.1

Question 11

Solve the problem.
-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 2 = OUT. The output from the simulation was as follows. 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1 2 2 1 2 1 2 2 2 2 2 2 1 1 1 2 Estimate the probability that he makes an out.

Accepted Answer

A) 0.810 
B) 0.782 
C) 0.667 
D) 0.621 
A) 0.810 
B) 0.782 
C) 0.667 
D) 0.621

Question 12

Express the indicated degree of likelihood as a probability value.
-"You cannot determine the exact decimal-number value of $\pi . "$

Accepted Answer

A) 0 
B) 0.5 
C) 3.14 
D) 1 
A) 0 
B) 0.5 
C) 3.14 
D) 1

Question 13

Provide an appropriate response.
-Probabilities are useful in the decision-making process. Suppose a random sample of 152 students was surveyed regarding an instructor's teaching. Suppose 105 students rated the instructor either excellent or above average on lecture presentations, 96 students rated the instructor as giving difficult or very difficult assignments and tests. Would you take this instructor for a class? Discuss the influence of probabilities on making this decision.

Accepted Answer

The decision of whether to take a class

Question 14

Many calculators or computers cannot directly calculate 70 ! or higher. When $ \mathrm{n} $ is large, $ \mathrm{n} $ ! can be approximated by $ \mathrm{n} !=10^{\mathrm{K}} $, where $ \mathrm{K}=(\mathrm{n}+0.5) \log n+0.39908993-0.43429448 \mathrm{n} $. Evaluate 79 ! using the approximation given above.

Accepted Answer

A)  $ 8.937 \times 10^{116} $ 
B)  $ 1.005 \times 10^{116} $ 
C)  $ 2.890 \times 10^{313} $ 
D)  $ 1.170 \times 10^{2} $ 
A)  $ 8.937 \times 10^{116} $ 
B)  $ 1.005 \times 10^{116} $ 
C)  $ 2.890 \times 10^{313} $ 
D)  $ 1.170 \times 10^{2} $

Question 15

From the information provided, create the sample space of possible outcomes
-Flip a coin twice.

Accepted Answer

A) HT TH 
B) HH TT HT HT 
C) HH HT TH TT 
D) HH HT TT 
A) HT TH 
B) HH TT HT HT 
C) HH HT TH TT 
D) HH HT TT

Question 16

Determine whether the events are mutually exclusive.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools, someone who cycles to work, or someone who works part time.   1. Public transportation: 7 full time, 7 part time 2. Bicycle: 4 full time, 4 part time 3. Drive alone: 34 full time, 30 part time 4. Carpool: 6 full time, 8 part time

Accepted Answer

A) 0.59 
B) 0.22 
C) 0.71 
D) 0.47 
A) 0.59 
B) 0.22 
C) 0.71 
D) 0.47

Question 17

Evaluate the expression.
-${ } _ { 8 } \mathrm { P } _ { 4 }$

Accepted Answer

A) 2 
B) 1680 
C) 70 
D) 4 
A) 2 
B) 1680 
C) 70 
D) 4

Question 18

Determine whether the events are mutually exclusive.
-A bag contains 7 red marbles, 4 blue marbles, and 1 green marble. Find P(not blue).

Accepted Answer

A)  8 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  8 
B)  $\frac { 3 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 3 }$

Question 19

Express the indicated degree of likelihood as a probability value.
-"It will definitely turn dark tonight."

Accepted Answer

A) 0.67 
B) 0.5 
C) 1 
D) 0.30 
A) 0.67 
B) 0.5 
C) 1 
D) 0.30

Question 20

Evaluate the expression.
-$$2 !$$

Accepted Answer

A) 0 
B) 1 
C) 2 
D) 4 
A) 0 
B) 1 
C) 2 
D) 4

Find the indicated probability. -The probability that an event will occur is 0.2. What is the probability that the event will not occur?

Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the 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).

Determine whether the events are mutually exclusive -Go to a formal dinner affair. Wear blue jeans.

Solve the problem. -A state lottery involves the random selection of six different numbers between 1 and 29. If you select one six number combination, what is the probability that it will be the winning combination?

Find the indicated probability. -A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one.

Answer the question. -Which of the following cannot be a probability?

Answer the question -In a certain town, 10% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

Answer the question. -What is the probability of an impossible event?

Express the indicated degree of likelihood as a probability value. -"You cannot determine the exact decimal-number value of $\pi . "$

Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm{n}$ is large, $\mathrm{n}$ ! can be approximated by $\mathrm{n} !=10^{\mathrm{K}}$ , where $\mathrm{K}=(\mathrm{n}+0.5) \log n+0.39908993-0.43429448 \mathrm{n}$ . Evaluate 79 ! using the approximation given above.

From the information provided, create the sample space of possible outcomes -Flip a coin twice.

Evaluate the expression. - ${ } _ { 8 } \mathrm { P } _ { 4 }$

Determine whether the events are mutually exclusive. -A bag contains 7 red marbles, 4 blue marbles, and 1 green marble. Find P(not blue).

Express the indicated degree of likelihood as a probability value. -"It will definitely turn dark tonight."

Evaluate the expression. - $2 !$

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