Question 1

The probability of getting the king of diamonds when randomly drawing a card from a well-shuffled deck is 1/52.

Accepted Answer

A) True 
 B)False

Question 2

If A and B are mutually exclusive events, then A   B can never occur on the same trial of an experiment.

Accepted Answer

A) True 
 B)False

Question 3

If P(A) = 0.4, P(B) = 0.5, and P(A   B) = 0.20, then the events A and B are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 4

In general, the simple events of an experiment take on values between 0 and 1.0, inclusive.

Accepted Answer

A) True 
 B)False

Question 5

If x is a discrete random variable, then x can take on only one of two possible values.

Accepted Answer

A) True 
 B)False

Question 6

Which of the following correctly describes experiments?

Accepted Answer

A)  They are two random events, A and B, such that the probability of one event is not affected by the occurrence of the other event; therefore, P(
A)  = P(A|
B) . 
B)  They are different events that have no outcomes in common. 
C)  They are activities that result in one and only one of several clearly defined possible outcomes and from which one may not predict, in advance, which of these outcomes will prevail in any particular instance. 
D)  They are different events that have different outcomes. 
A)  They are two random events, A and B, such that the probability of one event is not affected by the occurrence of the other event; therefore, P(
A)  = P(A|
B) . 
B)  They are different events that have no outcomes in common. 
C)  They are activities that result in one and only one of several clearly defined possible outcomes and from which one may not predict, in advance, which of these outcomes will prevail in any particular instance. 
D)  They are different events that have different outcomes.

Question 7

If P(A) = 0.4, P(B) = 0.5, and P(A   B) = 0.7, then P(A   B) = 0.2.

Accepted Answer

A) True 
 B)False

Question 8

If P(A) > 0, P(B) > 0, and P(A   B) = 0, then the events A and B are independent.

Accepted Answer

A) True 
 B)False

Question 9

Two events A and B are said to be independent if P(A   B) = P(A) + P(B).

Accepted Answer

A) True 
 B)False

Question 10

The probability distribution for a discrete variable x is a formula, a table, or a graph providing or showing p(x), the probability associated with each of the values of x.

Accepted Answer

A) True 
 B)False

Question 11

What would be the expected number of heads turning up in 500 tosses of an unbiased coin?

Accepted Answer

A)  150 
B)  200 
C)  250 
D)  300 
A)  150 
B)  200 
C)  250 
D)  300

Question 12

Which of the following is a (are) required condition(s) for the distribution of a discrete random variable that can assume values   ?
A)
B)
C) Both (a) and (b) are required conditions.
D) The population data of the distribution must be quantitative.

Accepted Answer

The answer of Which of the following is a (are)...

Question 13

The mean of a discrete probability distribution is equal to the square root of the variance.

Accepted Answer

A) True 
 B)False

Question 14

Suppose that an experiment consists of tossing three unbiased coins simultaneously. How many simple events are contained in this experiment?

Accepted Answer

A)  3 
B)  6 
C)  8 
D)  9 
A)  3 
B)  6 
C)  8 
D)  9

Question 15

Given a set of events   that are mutually exclusive and exhaustive and an event A, the law of total probability states that P(A) can be expressed as

Accepted Answer

A) True 
 B)False

Question 16

Which of the following correctly describes the nature of discrete quantitative variables?

Accepted Answer

A)  They can assume values only at specific points on a scale of values, with inevitable gaps between successive observations. 
B)  When dealing with such variables, we can count all possible observations and, with some exceptions, that count leads to a finite result. 
C)  Discrete quantitative variables are correctly described by both (a) and (b). 
A)  They can assume values only at specific points on a scale of values, with inevitable gaps between successive observations. 
B)  When dealing with such variables, we can count all possible observations and, with some exceptions, that count leads to a finite result. 
C)  Discrete quantitative variables are correctly described by both (a) and (b).

Question 17

The probability distribution of the number of accidents in North York, Ontario, each day is given by   Based on this distribution, what would be the expected number of accidents on a given day?

Accepted Answer

A)  4.62 
B)  2.15 
C)  1.81 
D)  1.47 
A)  4.62 
B)  2.15 
C)  1.81 
D)  1.47

Question 18

Which of the following clearly describes the general multiplicative rule of probability?

Accepted Answer

A)  It is a rule of probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events, A and B, 
B)  It is a rule of probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events A and B, 
C)  It is a rule of probability theory that is used to compute the probability for an intersection of two or more events: for any two events, A and B,and also = P(
B) P(A|
B)  
D)  It is a rule of probability theory that is used to compute the probability for an intersection of two or more events: for any two events A and B, 
A)  It is a rule of probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events, A and B, 
B)  It is a rule of probability theory that is used to compute the probability for the occurrence of a union of two or more events: for any two events A and B, 
C)  It is a rule of probability theory that is used to compute the probability for an intersection of two or more events: for any two events, A and B,and also = P(
B) P(A|
B)  
D)  It is a rule of probability theory that is used to compute the probability for an intersection of two or more events: for any two events A and B,

Question 19

Relative frequency histograms are constructed for a sample of n measurements drawn from the population, whereas the probability histogram is constructed as a model for the entire population of measurements.

Accepted Answer

A) True 
 B)False

Question 20

A tree diagram is a listing of all the simple events of an experiment.

Accepted Answer

A) True 
 B)False

Exam 4: A: probability and Probability Distributions

The probability of getting the king of diamonds when randomly drawing a card from a well-shuffled deck is 1/52.

If A and B are mutually exclusive events, then A B can never occur on the same trial of an experiment.

If P(A) = 0.4, P(B) = 0.5, and P(A B) = 0.20, then the events A and B are mutually exclusive.

In general, the simple events of an experiment take on values between 0 and 1.0, inclusive.

If x is a discrete random variable, then x can take on only one of two possible values.

Which of the following correctly describes experiments?

If P(A) = 0.4, P(B) = 0.5, and P(A B) = 0.7, then P(A B) = 0.2.

If P(A) > 0, P(B) > 0, and P(A B) = 0, then the events A and B are independent.

Two events A and B are said to be independent if P(A B) = P(A) + P(B).

The probability distribution for a discrete variable x is a formula, a table, or a graph providing or showing p(x), the probability associated with each of the values of x.

What would be the expected number of heads turning up in 500 tosses of an unbiased coin?

Which of the following is a (are) required condition(s) for the distribution of a discrete random variable that can assume values ? A) B) C) Both (a) and (b) are required conditions. D) The population data of the distribution must be quantitative.

The mean of a discrete probability distribution is equal to the square root of the variance.

Suppose that an experiment consists of tossing three unbiased coins simultaneously. How many simple events are contained in this experiment?

Given a set of events that are mutually exclusive and exhaustive and an event A, the law of total probability states that P(A) can be expressed as

Which of the following correctly describes the nature of discrete quantitative variables?

The probability distribution of the number of accidents in North York, Ontario, each day is given by Based on this distribution, what would be the expected number of accidents on a given day?

Which of the following clearly describes the general multiplicative rule of probability?

Relative frequency histograms are constructed for a sample of n measurements drawn from the population, whereas the probability histogram is constructed as a model for the entire population of measurements.

A tree diagram is a listing of all the simple events of an experiment.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

A: large-Sample Tests of Hypotheses

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

A: The Analysis of Variance

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

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