180 Answered Questions for the topic Sets

03/31/15

Compute the following conditional probabilities:
events E and F in a sample space S, but assume that Pr[E] = 0.45, Pr[F] = 0.45, and Pr[E∩ F] = 0.25. Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
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03/30/15

What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
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03/29/15

Compute the following conditional probabilities
events E and F in a sample space S, but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15.  Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
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03/29/15

What is Pr[E | F]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
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03/29/15

Compute the following conditional probabilities:
A and B in a sample space S, but assume that Pr[A] = 0.4, Pr[B] = 0.35, and Pr[A∩ B] = 0.1.  Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =
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Sets

03/29/15

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. {5} ? D
Let A = {1, 3, 5, 7}B = {5, 6, 7, 8}C = {5, 8}D = {2, 5, 8}U = {1, 2, 3, 4, 5, 6, 7, 8}.Determine whether the statement is true or false.{5} ⊆ D
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03/27/15

Find the following probabilities
events A and B in a sample space S. Assume that Pr[A] = 0.45, Pr[B] = 0.55, and Pr[A′∩B] = 0.4. Find the following probabilities:(1) Pr[B′∩A] = (2) Pr[A∩B] = (3) Pr[A′∩B′] =
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03/27/15

Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A nB] = 0.3.
events A and B in a sample space S. Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A ∩B] = 0.3.(1) Pr[B′∩A] = (2) Pr[A′∩B] = (3) Pr[A′∩B′] =
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03/27/15

What is the probability that the student attends at least one class on Monday?
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.4, and... more
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03/27/15

Find the following probabilities
involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following... more
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03/27/15

Find the probabilities of the following events
events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2) Pr[A∪B] = (1) Pr[A′∪B]
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03/25/15

What is the probability that the second ball drawn is yellow?
Assume that the box contains 12 balls: 3 red, 4 blue, and 5 yellow. As in the text, you draw one ball, note its color, and if it is yellow replace it. If it is not yellow you do not replace it. You... more
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03/25/15

What is the probability that the business makes a profit in exactly two of its first three years?
Assume that the business makes a profit with probability 0.2 in the first year. For each year thereafter, the business makes a profit with probability 0.7 if it made a profit in the previous year,... more
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03/25/15

What is the probability that a randomly selected car has a CD player?
Assume that the fleet consists of 35 percent Lexus, 45 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 90 percent of the Infinities, and 40 percent of the... more
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03/25/15

What is the probability that a randomly selected student plans to major in science?
Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in... more
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03/25/15

What is the probability that the second apple you pick is red?
nvolving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total of 10 apples: 6 red and 4 yellow.(1) What is the probability that the... more
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03/05/15

1) What is the value of w2? (2) What is the value of w1? (3) What is the value of w3?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1.(1) What is the value of w2? (2) What is the value of... more
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03/05/15

What is the probability they sum to 9, 3, or 6?
involving the sum of two die rolls.(1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?
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03/05/15

What is the probability that at least 2 of the dinners selected are pasta dinners?
Assume that there are 15 frozen dinners: 6 pasta, 5 chicken, and 4 seafood dinners. The student selects 5 of them.What is the probability that at least 2 of the dinners selected are pasta dinners?
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03/05/15

In how many ways can the assignments be made if John writes the introduction?
Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections.(1) In how many ways can the... more
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03/03/15

How many different casts are there?
Assume that there are 6 unfilled roles: 4 male and 2 female. There are 8 men and 4 women, including Jennifer, auditioning for a part in the play. (1) How many different casts are there? (2) How... more
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03/03/15

How many outcomes does this experiment have?
For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 2 balls one after another without replacement. (1) How many outcomes... more
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03/03/15

How many different answer sheets can be submitted?
For this problem, assume the test had 8 true-false questions and 8 multiple-choice questions, and that each multiple-choice question had 3 choices.
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03/03/15

What is the probability that you choose the December 1st issue of Newsweek?
Assume that there are 8 different issues of Sports Illustrated, 7 different issues of Time, and 4 different issues of Newsweek, including the December 1st issue, on the rack. You choose 4 of them... more
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03/02/15

Finite Homework: Probability and statistics.
1. Assume that there are 19 frozen dinners: 10 pasta, 6 chicken, and 3 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta... more
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