Question 1

Classify the events as dependent or independent: Events A and B where P(A)= 0.9, P(B)= 0.1, and P(A andB)= 0.09.

Accepted Answer

A) independent 
B) dependent

Question 2

You have 4 tasks to complete and 10 people, including yourself, to complete the tasks. In how many ways can you assign 4 people to the first task, 3 people to the second task, 2 people to the
Third task, and 1 person to the fourth task?

Accepted Answer

A) 151,200 
B) 1024 
C) 5040 
D) 12,600

Question 3

If $P ( A ) = .55 , P ( B \mid A ) = .4 , P ( A \cap B ) = .22$, and $A$ and $B$ are independent events, find $P ( B )$.

Accepted Answer

A)  $.4$ 
B)  $.55$ 
C)  $.88$ 
D)  $.22$

Question 4

Suppose that for a certain experiment $$P ( A ) = .37 . \text { Find } P \left( A ^ { C } \right) \text {.) }$$

Accepted Answer

The answer of Suppose that for a certain experiment \[P...

Question 5

A researcher investigated whether a studentʹs seat preference was related in any way to the gender of the student. The researcher divided a lecture room into three sections (1-front, middle of the
Room, 2-front, sides of the classroom, and 3-back of the classroom, both middle and sides)and
Noted where each student sat on a particular day of the class. The researcherʹs summary table is
Provided below.

Suppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. Find the probability that the person selected is female.

Accepted Answer

A)  $\frac { 11 } { 13 }$ 
B)  $\frac { 14 } { 39 }$ 
C)  $\frac { 7 } { 36 }$ 
D)  $\frac { 14 } { 33 }$

Question 6

Suppose that for a certain experiment the probability of a particular event occurring is .21.
Find the probability that this event does not occur.

Accepted Answer

The answer of Suppose that for a certain experiment the...

Question 7

Find the numerical value.
-$$P _ { 4 } ^ { 10 }$$

Accepted Answer

A) 5040 
B) 210 
C) 6 
D) 34

Question 8

A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?

Accepted Answer

A) 11,880 
B) 495 
C) 34,650 
D) 11,550

Question 9

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The two numbers rolled are different}
B: {At least one of the numbers is greater than 2}
Are the events A and B mutually exclusive? Explain.

Accepted Answer

The answer of A pair of fair dice is tossed....

Question 10

In a sample of 750 of its online customers, a department store found that 420 were men.
Use this information to estimate the probability that a randomly selected online customer
is a man.

Accepted Answer

The answer of In a sample of 750 of its...

Question 11

Your manager will assign her 10 employees to three tasks, 5 to task A, 3 to task B, and 2 to
task C. If she randomly assigns employees to tasks, what is the probability that you and
your best friend will be the two assigned to task C?

Accepted Answer

The answer of Your manager will assign her 10 employees...

Question 12

A fast-food restaurant chain with 700 outlets in the United States has recorded the geographic location of its restaurants in the accompanying table of percentages. One restaurant is to be chosen
At random from the 700 to test market a new chicken sandwich.

What is the probability that the restaurant is located in a city with a population over 100,000 and in the southern portion of the United States?

Accepted Answer

A)  $0.38$ 
B)  $0.10$ 
C)  $0.14$ 
D)  $0.04$

Question 13

Evaluate
$\left( \begin{array} { l } 
6 \
0
\end{array} \right)$

Accepted Answer

A)  1 
B)  0 
C)  undefined 
D)  6

Question 14

Which number could be the probability of an event that occurs about as often as it does not occur?

Accepted Answer

A) 1 
B) .51 
C) 0 
D) -.51

Question 15

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of randomly selecting one of the highlighters and recording its color. Find
The probability that a blue or yellow highlighter is selected given that a yellow highlighter is
Selected.

Accepted Answer

A)  1 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  0

Question 16

Compute the number of ways you can select 3 elements from 7 elements.

Accepted Answer

A) 343 
B) 10 
C) 35 
D) 21

Question 17

Fill in the blank. A(n)__________ is a collection of sample points.

Accepted Answer

A) sample space 
B) event 
C) experiment 
D) Venn diagram

Question 18

If 80% of a websiteʹs visitors are teenagers and 60% of those teenaged visitors are male,
find the percentage of the websiteʹs visitors that are teenaged males.

Accepted Answer

The answer of If 80% of a websiteʹs visitors are...

Question 19

Find the numerical value.
-$$\mathrm { P } _ { 4 } ^ { 8 }$$

Accepted Answer

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

Question 20

If $P ( A \cup B ) = 1$ and $P ( A \cap B ) = 0$, then which statement is true?

Accepted Answer

A)  $A$ and $B$ are reciprocal events. 
B)  $A$ and $B$ are supplementary events. 
C)  $A$ and $B$ are both empty events. 
D)  $A$ and $B$ are complementary events.

Exam 3: Probability

Classify the events as dependent or independent: Events A and B where P(A) = 0.9, P(B) = 0.1, and P(A andB) = 0.09.

You have 4 tasks to complete and 10 people, including yourself, to complete the tasks. In how many ways can you assign 4 people to the first task, 3 people to the second task, 2 people to the Third task, and 1 person to the fourth task?

If $P ( A ) = .55 , P ( B \mid A ) = .4 , P ( A \cap B ) = .22$ , and $A$ and $B$ are independent events, find $P ( B )$ .

Suppose that for a certain experiment $P ( A ) = .37 . \text { Find } P \left( A ^ { C } \right) \text {.) }$

Suppose that for a certain experiment the probability of a particular event occurring is .21. Find the probability that this event does not occur.

Find the numerical value. - $P _ { 4 } ^ { 10 }$

A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The two numbers rolled are different} B: {At least one of the numbers is greater than 2} Are the events A and B mutually exclusive? Explain.

In a sample of 750 of its online customers, a department store found that 420 were men. Use this information to estimate the probability that a randomly selected online customer is a man.

Your manager will assign her 10 employees to three tasks, 5 to task A, 3 to task B, and 2 to task C. If she randomly assigns employees to tasks, what is the probability that you and your best friend will be the two assigned to task C?

Evaluate $\left( \begin{array} { l } 6 \\0\end{array} \right)$

Which number could be the probability of an event that occurs about as often as it does not occur?

Compute the number of ways you can select 3 elements from 7 elements.

Fill in the blank. A(n) __________ is a collection of sample points.

If 80% of a websiteʹs visitors are teenagers and 60% of those teenaged visitors are male, find the percentage of the websiteʹs visitors that are teenaged males.

Find the numerical value. - $\mathrm { P } _ { 4 } ^ { 8 }$

If $P ( A \cup B ) = 1$ and $P ( A \cap B ) = 0$ , then which statement is true?

Exam 3: Probability

Classify the events as dependent or independent: Events A and B where P(A) = 0.9, P(B) = 0.1, and P(A andB) = 0.09.

You have 4 tasks to complete and 10 people, including yourself, to complete the tasks. In how many ways can you assign 4 people to the first task, 3 people to the second task, 2 people to the Third task, and 1 person to the fourth task?

If P(A) =.55,P(B∣A) =.4,P(A∩B) =.22P ( A ) = .55 , P ( B \mid A ) = .4 , P ( A \cap B ) = .22P(A) =.55,P(B∣A) =.4,P(A∩B) =.22 , and AAA and BBB are independent events, find P(B) P ( B ) P(B) .

Suppose that for a certain experiment P(A)=.37. Find P(AC).) P ( A ) = .37 . \text { Find } P \left( A ^ { C } \right) \text {.) }P(A)=.37. Find P(AC).)

Suppose that for a certain experiment the probability of a particular event occurring is .21. Find the probability that this event does not occur.

Find the numerical value. - P410P _ { 4 } ^ { 10 }P410​

A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The two numbers rolled are different} B: {At least one of the numbers is greater than 2} Are the events A and B mutually exclusive? Explain.

In a sample of 750 of its online customers, a department store found that 420 were men. Use this information to estimate the probability that a randomly selected online customer is a man.

Your manager will assign her 10 employees to three tasks, 5 to task A, 3 to task B, and 2 to task C. If she randomly assigns employees to tasks, what is the probability that you and your best friend will be the two assigned to task C?

Evaluate (60) \left( \begin{array} { l } 6 \\0\end{array} \right) (60​)

Which number could be the probability of an event that occurs about as often as it does not occur?

Compute the number of ways you can select 3 elements from 7 elements.

Fill in the blank. A(n) __________ is a collection of sample points.

If 80% of a websiteʹs visitors are teenagers and 60% of those teenaged visitors are male, find the percentage of the websiteʹs visitors that are teenaged males.

Find the numerical value. - P48\mathrm { P } _ { 4 } ^ { 8 }P48​

If P(A∪B) =1P ( A \cup B ) = 1P(A∪B) =1 and P(A∩B) =0P ( A \cap B ) = 0P(A∩B) =0 , then which statement is true?

If $P ( A ) = .55 , P ( B \mid A ) = .4 , P ( A \cap B ) = .22$ , and $A$ and $B$ are independent events, find $P ( B )$ .

Suppose that for a certain experiment $P ( A ) = .37 . \text { Find } P \left( A ^ { C } \right) \text {.) }$

Find the numerical value. - $P _ { 4 } ^ { 10 }$

Evaluate $\left( \begin{array} { l } 6 \\0\end{array} \right)$

Find the numerical value. - $\mathrm { P } _ { 4 } ^ { 8 }$

If $P ( A \cup B ) = 1$ and $P ( A \cap B ) = 0$ , then which statement is true?