Question 1

Which of the following statements is always true?

Accepted Answer

A) -1P(Ei)1 
B) P(
A)  = 1 - P(Ac) 
C) P(
A)  + P(
B)  = 1 
D)  $\Sigma$P1 
A) -1P(Ei)1 
B) P(
A)  = 1 - P(Ac) 
C) P(
A)  + P(
B)  = 1 
D)  $\Sigma$P1

Question 2

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cap$ B) =

Accepted Answer

A) 0.30 
B) 0.15 
C) 0.00 
D) 0.20 
A) 0.30 
B) 0.15 
C) 0.00 
D) 0.20

Question 3

A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items.
a.An item from the production line is selected. What is the probability that the selected item is non-defective?
b.Given that the selected item is non-defective, what is the probability that the machine is set up correctly?

Accepted Answer

The answer of A machine is used in a production...

Question 4

If a dime is tossed four times and comes up tails all four times, the probability of heads on the fifth trial is

Accepted Answer

A) smaller than the probability of tails 
B) larger than the probability of tails 
C) 1/2 
D) 1/32 
A) smaller than the probability of tails 
B) larger than the probability of tails 
C) 1/2 
D) 1/32

Question 5

An experiment consists of selecting a student body president, vice president, and a treasurer. All undergraduate students, freshmen through seniors, are eligible for the offices. How many sample points (possible outcomes as to the classifications) exist?

Accepted Answer

A) 12 
B) 16 
C) 64 
D) 100 
A) 12 
B) 16 
C) 64 
D) 100

Question 6

A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than $30,000 a year.
a. If an employee is taken at random, what is the probability that the employee is male?
b. If an employee is taken at random, what is the probability that the employee earns more than $30,000 a year?
c. If an employee is taken at random, what is the probability that the employee is male and earns more than $30,000 a year?
d. If an employee is taken at random, what is the probability that the employee is male or earns more than $30,000 a year?
e. The employee taken at random turns out to be male. Compute the probability that he earns more than $30,000 a year.
f. Are being male and earning more than $30,000 a year independent?

Accepted Answer

a.0.62
b.0

Question 7

If two events are independent, then

Accepted Answer

A) they must be mutually exclusive 
B) the sum of their probabilities must be equal to one 
C) their intersection must be zero 
D) None of these alternatives is correct. 
A) they must be mutually exclusive 
B) the sum of their probabilities must be equal to one 
C) their intersection must be zero 
D) None of these alternatives is correct.

Question 8

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88, then P(A $\cap$ 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 9

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 9 
A) 2 
B) 4 
C) 6 
D) 9

Question 10

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

Accepted Answer

The answer of Eight individuals are candidates for positions of...

Question 11

All the employees of ABC Company are assigned ID numbers. The ID number consists of the first letter of an employee's last name, followed by four numbers.
a.How many possible different ID numbers are there?
b.How many possible different ID numbers are there for employees whose last name starts with an A?

Accepted Answer

The answer of All the employees of ABC Company are...

Question 12

One of the basic requirements of probability is

Accepted Answer

A) for each experimental outcome Ei, we must have P(Ei)1 
B) P(
A)  = P(Ac) - 1 
C) if there are k experimental outcomes, then  $\Sigma$P(Ei) = 1 
D)  $\Sigma$P(Ei)1 
A) for each experimental outcome Ei, we must have P(Ei)1 
B) P(
A)  = P(Ac) - 1 
C) if there are k experimental outcomes, then  $\Sigma$P(Ei) = 1 
D)  $\Sigma$P(Ei)1

Question 13

A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not review have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students review for the test.
a.Find the probability of scoring above 400.
b.Find the probability that a student who scored above 400 reviewed for the test.

Accepted Answer

The answer of A survey of business students who had...

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

Accepted Answer

A) permutation 
B) combination 
C) multiple step experiment 
D) None of these alternatives is correct. 
A) permutation 
B) combination 
C) multiple step experiment 
D) None of these alternatives is correct.

Question 15

Four workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners but fails to include a salt packet 4% of the time. Mary packs 25% of the dinners but omits the salt 2% of the time. Sue packs 30% of the dinners but fails to include the salt 3% of the time. You have purchased a dinner and there is no salt.
a.Find the probability that John packed your dinner.
b.Find the probability that Mary packed your dinner.

Accepted Answer

The answer of Four workers at a fast food restaurant...

Question 16

A six-sided die is tossed 3 times. The probability of observing three ones in a row is

Accepted Answer

A) 1/3 
B) 1/6 
C) 1/27 
D) 1/216 
A) 1/3 
B) 1/6 
C) 1/27 
D) 1/216

Question 17

An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determine the probability that
a. the sum of the spots is 3.
b. each die shows four or more spots.
c. the sum of the spots is not 3.
d. neither a one nor a six appear on each die.
e. a pair of sixes appear.
f. the sum of the spots is 7.

Accepted Answer

a.2/36
b.9

Question 18

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

Accepted Answer

A) much larger than one 
B) zero 
C) infinity 
D) None of these alternatives is correct. 
A) much larger than one 
B) zero 
C) infinity 
D) None of these alternatives is correct.

Question 19

A sample point refers to the

Accepted Answer

A) numerical measure of the likelihood of the occurrence of an event 
B) set of all possible experimental outcomes 
C) individual outcome of an experiment 
D) sample space 
A) numerical measure of the likelihood of the occurrence of an event 
B) set of all possible experimental outcomes 
C) individual outcome of an experiment 
D) sample space

Question 20

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Accepted Answer

A) 20 
B) 7 
C) 5! 
D) 10 
A) 20 
B) 7 
C) 5! 
D) 10

Which of the following statements is always true?

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cap$ B) =

If a dime is tossed four times and comes up tails all four times, the probability of heads on the fifth trial is

An experiment consists of selecting a student body president, vice president, and a treasurer. All undergraduate students, freshmen through seniors, are eligible for the offices. How many sample points (possible outcomes as to the classifications) exist?

If two events are independent, then

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88, then P(A $\cap$ B) =

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

One of the basic requirements of probability is

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

A six-sided die is tossed 3 times. The probability of observing three ones in a row is

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

A sample point refers to the

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

Which of the following statements is always true?

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩\cap∩ B) =

If a dime is tossed four times and comes up tails all four times, the probability of heads on the fifth trial is

An experiment consists of selecting a student body president, vice president, and a treasurer. All undergraduate students, freshmen through seniors, are eligible for the offices. How many sample points (possible outcomes as to the classifications) exist?

If two events are independent, then

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

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist?

One of the basic requirements of probability is

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

A six-sided die is tossed 3 times. The probability of observing three ones in a row is

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

A sample point refers to the

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cap$ B) =

If P(A) = 0.62, P(B) = 0.47, and P(A $\cup$ B) = 0.88, then P(A $\cap$ B) =