Question 1

Assume that A and B are independent events, with P(A) = 0.30 and P(B) = 0.50. The probability that both events will occur simultaneously is 0.80.

Accepted Answer

A) True 
 B)False

Question 2

If P(A) = 0.35, P(B) = 0.45 and P(A F1F1F1S1F1F1F10 B) =0.20, then P(A | B) is:

Accepted Answer

A) 0.80. 
B) 0.60. 
C) 0.44. 
D) 0.57. 
A) 0.80. 
B) 0.60. 
C) 0.44. 
D) 0.57.

Question 3

A table of joint probabilities is shown below. $$\begin{array} { | c | c | c | c | } 
\hline & A _ { 1 } & A _ { 2 } & A _ { 3 } \
\hline B _ { 1 } & 0.15 & 0.25 & 0.20 \
\hline B _ { 2 } & 0.10 & 0.15 & 0.15 \
\hline
\end{array}$$ Are the events A and B independent? Explain.

Accepted Answer

The answer of A table of joint probabilities is shown...

Question 4

Suppose P(A) = 0.25. The probability of complement of A is:

Accepted Answer

A) 0.25. 
B) 0.50. 
C) −0.25. 
D) 0.75. 
A) 0.25. 
B) 0.50. 
C) −0.25. 
D) 0.75.

Question 5

If A and B are independent events, with P(A) = 0.20 and P(B) =0.60, then P(A | B) is:

Accepted Answer

A) 0.20. 
B) 0.60. 
C) 0.40. 
D) 0.80. 
A) 0.20. 
B) 0.60. 
C) 0.40. 
D) 0.80.

Question 6

Conditional probability is the probability that an event will occur, given that another event will also occur.

Accepted Answer

A) True 
 B)False

Question 7

Jim and John go to a coffee shop during their lunch break and toss a coin to see who will pay. The probability that John will pay three days in a row is 0.125.

Accepted Answer

A) True 
 B)False

Question 8

Of the last 400 customers entering a supermarket, 20 have purchased a mobile phone. If the classical approach for assigning probabilities is used, the probability that the next customer will purchase a mobile phone is:

Accepted Answer

A) 0.80. 
B) 0.20. 
C) 0.05. 
D) 0.50. 
A) 0.80. 
B) 0.20. 
C) 0.05. 
D) 0.50.

Question 9

One card is randomly selected from a deck of 52 playing cards. Let: $A =$ event card sel ected is a nine.
$\mathrm { B } =$ event card selected is a 10 .
$\mathrm { C } =$ event card selected is a queen.
Find $\mathrm { P } ( \bar { A }$ or $\bar { B }$ or $\bar { C } )$, using the addition rule.

Accepted Answer

The answer of One card is randomly selected from a...

Question 10

The probability of event A and event B occurring must be equal to 1.

Accepted Answer

A) True 
 B)False

Question 11

The collection of all possible outcomes of an experiment is called:

Accepted Answer

A) a simple event. 
B) a sample space. 
C) a sample. 
D) a population. 
A) a simple event. 
B) a sample space. 
C) a sample. 
D) a population.

Question 12

Find the probability that the ice cream was strawberry-flavoured, given that it was sold on a cone.

Accepted Answer

The answer of Find the probability that the ice cream...

Question 13

A survey of a magazine's subscribers indicates that 40% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. What proportion of subscribers:
a. own both a car and a house?
b. own a car or a house, or both?
c. own neither a car nor a house?

Accepted Answer

a. 0.36.
b

Assume that A and B are independent events, with P(A) = 0.30 and P(B) = 0.50. The probability that both events will occur simultaneously is 0.80.

If P(A) = 0.35, P(B) = 0.45 and P(A  B) =0.20, then P(A | B) is:

A table of joint probabilities is shown below. 0.15 0.25 0.20 0.10 0.15 0.15 Are the events A and B independent? Explain.

Suppose P(A) = 0.25. The probability of complement of A is:

If A and B are independent events, with P(A) = 0.20 and P(B) =0.60, then P(A | B) is:

Conditional probability is the probability that an event will occur, given that another event will also occur.

Jim and John go to a coffee shop during their lunch break and toss a coin to see who will pay. The probability that John will pay three days in a row is 0.125.

Of the last 400 customers entering a supermarket, 20 have purchased a mobile phone. If the classical approach for assigning probabilities is used, the probability that the next customer will purchase a mobile phone is:

One card is randomly selected from a deck of 52 playing cards. Let: $A =$ event card sel ected is a nine. $\mathrm { B } =$ event card selected is a 10 . $\mathrm { C } =$ event card selected is a queen. Find $\mathrm { P } ( \bar { A }$ or $\bar { B }$ or $\bar { C } )$ , using the addition rule.

The probability of event A and event B occurring must be equal to 1.

The collection of all possible outcomes of an experiment is called:

Find the probability that the ice cream was strawberry-flavoured, given that it was sold on a cone.

A survey of a magazine's subscribers indicates that 40% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. What proportion of subscribers: a. own both a car and a house? b. own a car or a house, or both? c. own neither a car nor a house?

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

Exam 6: Probability

Assume that A and B are independent events, with P(A) = 0.30 and P(B) = 0.50. The probability that both events will occur simultaneously is 0.80.

If P(A) = 0.35, P(B) = 0.45 and P(A  B) =0.20, then P(A | B) is:

A table of joint probabilities is shown below. 0.15 0.25 0.20 0.10 0.15 0.15 Are the events A and B independent? Explain.

Suppose P(A) = 0.25. The probability of complement of A is:

If A and B are independent events, with P(A) = 0.20 and P(B) =0.60, then P(A | B) is:

Conditional probability is the probability that an event will occur, given that another event will also occur.

Jim and John go to a coffee shop during their lunch break and toss a coin to see who will pay. The probability that John will pay three days in a row is 0.125.

Of the last 400 customers entering a supermarket, 20 have purchased a mobile phone. If the classical approach for assigning probabilities is used, the probability that the next customer will purchase a mobile phone is:

The probability of event A and event B occurring must be equal to 1.

The collection of all possible outcomes of an experiment is called:

Find the probability that the ice cream was strawberry-flavoured, given that it was sold on a cone.

A survey of a magazine's subscribers indicates that 40% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car. What proportion of subscribers: a. own both a car and a house? b. own a car or a house, or both? c. own neither a car nor a house?

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters