186 Answered Questions for the topic Sets

04/01/15

If the student plans to go to medical school, what is the probability that he is a freshman?
Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 10 percent juniors, and 35 percent seniors. Assume further that 50 percent of the freshmen, 35 percent of the... more
Follows • 2
Expert Answers •1

04/01/15

What is the probability that both balls are red given that the first ball you drew was red?
Assume that each bag contains 5 balls. Bag a contains 4 red and 1 white, while bag b contains 1 red, 1 white, and 3 blue. You randomly select one ball from bag a, note the color, and place the ball... more
Follows • 2
Expert Answers •2

04/01/15

What is the probability that exactly one blue ball is chosen?
Assume that you have 6 red balls and 7 blue balls from which randomly to select two without replacement.(1) What is the probability that exactly one blue ball is chosen? (2) What is the probability... more
Follows • 1
Expert Answers •1

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] =
Follows • 2
Expert Answers •1

03/30/15

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]?
Follows • 2
Expert Answers •1

03/30/15

Compute the following conditional probabilities
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] =
Follows • 2
Expert Answers •2

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]?
Follows • 3
Expert Answers •1

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] =
Follows • 3
Expert Answers •1

03/29/15

What is Pr[E | F]?
Suppose for this problem that Pr[E] = [ 1/12], Pr[F] = [ 1/6], and Pr[E ∩F′] = [ 0/1]. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
Follows • 2
Expert Answers •1

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]?
Follows • 3
Expert Answers •2

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] =
Follows • 2
Expert Answers •1
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
Follows • 3
Expert Answers •2

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′] =
Follows • 2
Expert Answers •2

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′] =
Follows • 2
Expert Answers •1

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
Follows • 2
Expert Answers •1

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
Follows • 1
Expert Answers •1

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]
Follows • 2
Expert Answers •1

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
Follows • 2
Expert Answers •1

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
Follows • 2
Expert Answers •1

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
Follows • 3
Expert Answers •2

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
Follows • 3
Expert Answers •1

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
Follows • 2
Expert Answers •1

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
Follows • 1
Expert Answers •1

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?
Follows • 2
Expert Answers •1

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?
Follows • 2
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.