Question 1

Which rule states that when two outcomes are mutually exclusive,the probability that either one of these outcomes will occur is the sum of their individual probabilities?

Accepted Answer

A) additive rule 
B) multiplicative rule 
C) both A and B 
D) none of the above 
A) additive rule 
B) multiplicative rule 
C) both A and B 
D) none of the above

Question 2

Below is the probability distribution for the number of times students had to take the same exam before passing it.If a student must pass the exam in two tries of less to pass the class,then what is the probability of passing the class?

Accepted Answer

A) .80 
B) .40 
C) .20 
D) .10 
A) .80 
B) .40 
C) .20 
D) .10

Question 3

Probability distributions follow the same rules as probability: They are never negative and vary between - ∞ and +    .

Accepted Answer

A) True 
 B)False

Question 4

A therapist goes through her records and finds that 200 of her 400 patients showed significant improvement in mental health over the past year.Hence,the probability of her patients showing significant improvement in mental health is

Accepted Answer

A) .05 
B) .50 
C) 200 
D) 400 
A) .05 
B) .50 
C) 200 
D) 400

Question 5

While the expected value of the mean estimates the average outcome,the standard deviation of a probability distribution estimates the distance that all other outcomes deviate from the mean.

Accepted Answer

A) True 
 B)False

Question 6

The total number of possible outcomes for a random variable is referred to as

Accepted Answer

A) probability 
B) a random event 
C) the sample space 
D) the sum 
A) probability 
B) a random event 
C) the sample space 
D) the sum

Question 7

The probability that a participant is married is p(M)= .60.The probability that a participant is married and "in love" is p(M$\cap$L)= .46.Thus,the probability that a participant is in love,given that the participant is married is p = .77.

Accepted Answer

A) True 
 B)False

Question 8

A researcher visits a population of 1,200 local residents to determine the proportion of local residents who support a new smoking ban.In this case,the sample space is

Accepted Answer

A) equal to the number of residents who support the new smoking ban 
B) equal to the total number (or population)of residents 
C) equal to more than just these 1,200 residents 
D) unknown 
A) equal to the number of residents who support the new smoking ban 
B) equal to the total number (or population)of residents 
C) equal to more than just these 1,200 residents 
D) unknown

Question 9

Below is the probability distribution for random variable x.What is the probability of at least a score of 2 in this distribution?

Accepted Answer

A) .18 
B) .42 
C) .60 
D) .82 
A) .18 
B) .42 
C) .60 
D) .82

Question 10

When the sum of the probabilities of two outcomes is exhaustive of all possible outcomes,these outcomes are referred to as

Accepted Answer

A) mutually exclusive 
B) complementary 
C) independent 
D) conditional 
A) mutually exclusive 
B) complementary 
C) independent 
D) conditional

Question 11

A gambler rolls a 3 with one roll of a single fair die.Given that the die was six-sided,what was the probability of rolling a 3 with one roll?

Accepted Answer

A) 1/6 
B) 3/6 
C) 1/9 
D) 3/9 
A) 1/6 
B) 3/6 
C) 1/9 
D) 3/9

Question 12

A researcher reports that the probability of a college student living on campus is p = .38.If a small local college has 2,000 students enrolled,then what is the standard deviation of college students living on campus? Hint: This is a binomial probability distribution.

Accepted Answer

A) 471.2 students 
B) 21.7 students 
C) 760 students 
D) There is not enough information to answer this question. 
A) 471.2 students 
B) 21.7 students 
C) 760 students 
D) There is not enough information to answer this question.

Question 13

When the probability of one outcome changes depending on the occurrence of a second outcome,these outcomes are referred to as

Accepted Answer

A) mutually exclusive 
B) complementary 
C) independent 
D) conditional 
A) mutually exclusive 
B) complementary 
C) independent 
D) conditional

Question 14

The probability of a student attending every college class is p = .26.The probability of a student attending every college class and earning an A is p = .22.Hence,the probability of a student earning an A,given that he or she attends every college class,is

Accepted Answer

A) p = .06 
B) p = .48 
C) p = .85 
D) There is not enough information to answer this question. 
A) p = .06 
B) p = .48 
C) p = .85 
D) There is not enough information to answer this question.

Question 15

The probability of an outcome is particularly useful for predicting the likelihood of fixed events.

Accepted Answer

A) True 
 B)False

Question 16

A professor records the grades for his class of students.He finds that the probability that a student earns an A is p = .14;earns a B is p = .36;earns a C is p = .32;earns a D is p = .10;and earns an F is p = .08.What is the probability that a student earns a B or better in this class?

Accepted Answer

A) .36 
B) .14 
C) .86 
D) .50 
A) .36 
B) .14 
C) .86 
D) .50

Question 17

Bayes' theorem is often applied to a variety of conditional probability situations,including those related to statistical inference.

Accepted Answer

A) True 
 B)False

Question 18

A researcher records the following data for the number of bids made on a sample of items sold at an auction.Based on the table,what was the probability that an item had 7 bids made on it?

Accepted Answer

A) 5 
B) 10 
C) .10 
D) .25 
A) 5 
B) 10 
C) .10 
D) .25

Question 19

The multiplicative rule is used to define mutually exclusive outcomes.

Accepted Answer

A) True 
 B)False

Question 20

Two outcomes are said to be mutually exclusive when

Accepted Answer

A) the probability of the two outcomes occurring together is equal to zero (p = 0) 
B) the probability of the occurrence of one outcome has no effect on the probability of the occurrence of the second outcome 
C) the probability of the two outcomes occurring together is greater than zero (p > 0) 
D) the probability of the two outcomes occurring together sums to one 
A) the probability of the two outcomes occurring together is equal to zero (p = 0) 
B) the probability of the occurrence of one outcome has no effect on the probability of the occurrence of the second outcome 
C) the probability of the two outcomes occurring together is greater than zero (p > 0) 
D) the probability of the two outcomes occurring together sums to one

Which rule states that when two outcomes are mutually exclusive,the probability that either one of these outcomes will occur is the sum of their individual probabilities?

Below is the probability distribution for the number of times students had to take the same exam before passing it.If a student must pass the exam in two tries of less to pass the class,then what is the probability of passing the class?

Probability distributions follow the same rules as probability: They are never negative and vary between - ∞ and + .

A therapist goes through her records and finds that 200 of her 400 patients showed significant improvement in mental health over the past year.Hence,the probability of her patients showing significant improvement in mental health is

While the expected value of the mean estimates the average outcome,the standard deviation of a probability distribution estimates the distance that all other outcomes deviate from the mean.

The total number of possible outcomes for a random variable is referred to as

The probability that a participant is married is p(M)= .60.The probability that a participant is married and "in love" is p(M $\cap$ L)= .46.Thus,the probability that a participant is in love,given that the participant is married is p = .77.

A researcher visits a population of 1,200 local residents to determine the proportion of local residents who support a new smoking ban.In this case,the sample space is

Below is the probability distribution for random variable x.What is the probability of at least a score of 2 in this distribution?

When the sum of the probabilities of two outcomes is exhaustive of all possible outcomes,these outcomes are referred to as

A gambler rolls a 3 with one roll of a single fair die.Given that the die was six-sided,what was the probability of rolling a 3 with one roll?

A researcher reports that the probability of a college student living on campus is p = .38.If a small local college has 2,000 students enrolled,then what is the standard deviation of college students living on campus? Hint: This is a binomial probability distribution.

When the probability of one outcome changes depending on the occurrence of a second outcome,these outcomes are referred to as

The probability of a student attending every college class is p = .26.The probability of a student attending every college class and earning an A is p = .22.Hence,the probability of a student earning an A,given that he or she attends every college class,is

The probability of an outcome is particularly useful for predicting the likelihood of fixed events.

A professor records the grades for his class of students.He finds that the probability that a student earns an A is p = .14;earns a B is p = .36;earns a C is p = .32;earns a D is p = .10;and earns an F is p = .08.What is the probability that a student earns a B or better in this class?

Bayes' theorem is often applied to a variety of conditional probability situations,including those related to statistical inference.

A researcher records the following data for the number of bids made on a sample of items sold at an auction.Based on the table,what was the probability that an item had 7 bids made on it?

The multiplicative rule is used to define mutually exclusive outcomes.

Two outcomes are said to be mutually exclusive when

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability, Normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance, Effect Size, and Power

Testing Means: One-Sample and Two-Independent Sample T Tests

Testing Means: Related Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated Measures Design

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

Exam 5: Probability

Which rule states that when two outcomes are mutually exclusive,the probability that either one of these outcomes will occur is the sum of their individual probabilities?

Below is the probability distribution for the number of times students had to take the same exam before passing it.If a student must pass the exam in two tries of less to pass the class,then what is the probability of passing the class?

Probability distributions follow the same rules as probability: They are never negative and vary between - ∞ and + .

A therapist goes through her records and finds that 200 of her 400 patients showed significant improvement in mental health over the past year.Hence,the probability of her patients showing significant improvement in mental health is

While the expected value of the mean estimates the average outcome,the standard deviation of a probability distribution estimates the distance that all other outcomes deviate from the mean.

The total number of possible outcomes for a random variable is referred to as

The probability that a participant is married is p(M)= .60.The probability that a participant is married and "in love" is p(M ∩\cap∩ L)= .46.Thus,the probability that a participant is in love,given that the participant is married is p = .77.

A researcher visits a population of 1,200 local residents to determine the proportion of local residents who support a new smoking ban.In this case,the sample space is

Below is the probability distribution for random variable x.What is the probability of at least a score of 2 in this distribution?

When the sum of the probabilities of two outcomes is exhaustive of all possible outcomes,these outcomes are referred to as

A gambler rolls a 3 with one roll of a single fair die.Given that the die was six-sided,what was the probability of rolling a 3 with one roll?

A researcher reports that the probability of a college student living on campus is p = .38.If a small local college has 2,000 students enrolled,then what is the standard deviation of college students living on campus? Hint: This is a binomial probability distribution.

When the probability of one outcome changes depending on the occurrence of a second outcome,these outcomes are referred to as

The probability of a student attending every college class is p = .26.The probability of a student attending every college class and earning an A is p = .22.Hence,the probability of a student earning an A,given that he or she attends every college class,is

The probability of an outcome is particularly useful for predicting the likelihood of fixed events.

A professor records the grades for his class of students.He finds that the probability that a student earns an A is p = .14;earns a B is p = .36;earns a C is p = .32;earns a D is p = .10;and earns an F is p = .08.What is the probability that a student earns a B or better in this class?

Bayes' theorem is often applied to a variety of conditional probability situations,including those related to statistical inference.

A researcher records the following data for the number of bids made on a sample of items sold at an auction.Based on the table,what was the probability that an item had 7 bids made on it?

The multiplicative rule is used to define mutually exclusive outcomes.

Two outcomes are said to be mutually exclusive when

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability, Normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance, Effect Size, and Power

Testing Means: One-Sample and Two-Independent Sample T Tests

Testing Means: Related Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated Measures Design

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

The probability that a participant is married is p(M)= .60.The probability that a participant is married and "in love" is p(M $\cap$ L)= .46.Thus,the probability that a participant is in love,given that the participant is married is p = .77.