Question 1

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

Accepted Answer

A)  0.0. 
B)  0.500. 
C)  0.875. 
D)  0.125. 
A)  0.0. 
B)  0.500. 
C)  0.875. 
D)  0.125. D

Question 2

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female.The number of sample points in this experiment is

Accepted Answer

A)  2. 
B)  4. 
C)  16. 
D)  8. 
A)  2. 
B)  4. 
C)  16. 
D)  8. C

Question 3

The complement of P(A | B) is

Accepted Answer

Question 4

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 3 customers and determining whether or not they purchase any merchandise.How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)

Accepted Answer

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

Question 5

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

Accepted Answer

A)  0.14. 
B)  0.43. 
C)  0.75. 
D)  0.59. 
A)  0.14. 
B)  0.43. 
C)  0.75. 
D)  0.59.

Question 6

The collection of all possible sample points in an experiment is

Accepted Answer

A)  the sample space. 
B)  an event. 
C)  a combination. 
D)  the population. 
A)  the sample space. 
B)  an event. 
C)  a combination. 
D)  the population.

Question 7

Posterior probabilities are _____ probabilities.

Accepted Answer

A)  independent 
B)  marginal 
C)  joint 
D)  conditional 
A)  independent 
B)  marginal 
C)  joint 
D)  conditional

Question 8

Events that have no sample points in common are

Accepted Answer

A)  independent events. 
B)  supplements. 
C)  mutually exclusive events. 
D)  complements. 
A)  independent events. 
B)  supplements. 
C)  mutually exclusive events. 
D)  complements.

Question 9

If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =

Accepted Answer

A)  0.209. 
B)  0.000. 
C)  0.550. 
D)  0.380. 
A)  0.209. 
B)  0.000. 
C)  0.550. 
D)  0.380.

Question 10

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

Accepted Answer

A)  0.2914. 
B)  1.9700. 
C)  0.6700. 
D)  0.2100. 
A)  0.2914. 
B)  1.9700. 
C)  0.6700. 
D)  0.2100.

Question 11

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∩ B) =

Accepted Answer

A)  0.65. 
B)  0.1. 
C)  0.625. 
D)  0.15. 
A)  0.65. 
B)  0.1. 
C)  0.625. 
D)  0.15.

Question 12

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

Accepted Answer

A)  relative frequency 
B)  subjective 
C)  classical 
D)  posterior 
A)  relative frequency 
B)  subjective 
C)  classical 
D)  posterior

Question 13

The symbol ∪ shows the

Accepted Answer

A)  union of events. 
B)  intersection of two events. 
C)  sum of the probabilities of events. 
D)  sample space. 
A)  union of events. 
B)  intersection of two events. 
C)  sum of the probabilities of events. 
D)  sample space.

Question 14

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

Accepted Answer

A)  permutations. 
B)  combinations. 
C)  independent events. 
D)  multiple-step experiments. 
A)  permutations. 
B)  combinations. 
C)  independent events. 
D)  multiple-step experiments.

Question 15

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Accepted Answer

A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails. 
A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails.

Question 16

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

Accepted Answer

A)  1.02. 
B)  0.77. 
C)  0.11. 
D)  0.39. 
A)  1.02. 
B)  0.77. 
C)  0.11. 
D)  0.39.

Question 17

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) =

Accepted Answer

A)  0.240. 
B)  0.060. 
C)  0.380. 
D)  0.620. 
A)  0.240. 
B)  0.060. 
C)  0.380. 
D)  0.620.

Question 18

The sample space refers to

Accepted Answer

A)  any particular experimental outcome. 
B)  the sample size minus one. 
C)  the set of all possible experimental outcomes. 
D)  an event. 
A)  any particular experimental outcome. 
B)  the sample size minus one. 
C)  the set of all possible experimental outcomes. 
D)  an event.

Question 19

Bayes' theorem is used to compute

Accepted Answer

A)  the prior probabilities. 
B)  the union of events. 
C)  intersection of events. 
D)  the posterior probabilities. 
A)  the prior probabilities. 
B)  the union of events. 
C)  intersection of events. 
D)  the posterior probabilities.

Question 20

A college plans to interview 7 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Accepted Answer

The answer of A college plans to interview 7 students...

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female.The number of sample points in this experiment is

The complement of P(A | B) is

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

The collection of all possible sample points in an experiment is

Posterior probabilities are _____ probabilities.

Events that have no sample points in common are

If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∩ B) =

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

The symbol ∪ shows the

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) =

The sample space refers to

Bayes' theorem is used to compute

A college plans to interview 7 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female.The number of sample points in this experiment is

The complement of P(A | B) is

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

The collection of all possible sample points in an experiment is

Posterior probabilities are _____ probabilities.

Events that have no sample points in common are

If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) =

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∩ B) =

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

The symbol ∪ shows the

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) =

The sample space refers to

Bayes' theorem is used to compute

A college plans to interview 7 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters