744 Answered Questions for the topic Probability & Statistics
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...
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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...
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04/01/15
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
For this problem, assume that the committee contains 10 men and 5 women and that three are selected at random for a subcommittee.What is the probability that the subcommittee consists of 2 men and...
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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
(1) What is Pr[E | F]? (2) What is Pr[F | E]?
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]?
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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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′] =
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...
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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...
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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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Probability & Statistics
03/26/15
In a city 15% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 12 are students. Find p and p^.
In a city 15% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 12 are students. Find p and p^. I know for p=0.15 but for p^ I have a hard...
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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...
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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,...
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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...
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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...
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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...
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03/24/15
Help finding the sample size! Statistics
A paint manufacturer uses a machine to fill gallon cans with paint.
a)The manufacturers wants to estimate the mean volume of paint the machine is putting in the cans within 0.25 ounces....
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Probability & Statistics
03/23/15
What is the expected number of functioning dishwashers? What is the variance for the number of functioning dishwashers? What is the standard deviation for?
A dishwasher factory has a 1/8 chance of producing a defective dishwasher, and a 7/8 chance of producing a functioning one. An inspector selects a batch of 256 dishwashers produced by the machine...
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Probability & Statistics
03/14/15
Is this parameter or statistic?
Average commute time for employees at a small company, based on interviews with all employees.
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Probability & Statistics
03/09/15
what is the probability of a man over 50 showing no signs of heart disease, given that he smokes?
In a research study concerning the relatioship between smoking and heart disease in men over 50, it was found that 20% of the men smoked and had showed no signs of heart disease. Futhermore, it was...
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Probability & Statistics
03/07/15
Suppose a class has 28 freshmen, 12 sophomores, 8 juniors, and 3 seniors in it. If 3 student names are drawn, what is the probability that they are freshmen?
I want to know how to do this probability problem
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