180 Answered Questions for the topic Sets

Sets

07/02/15

sets problems
in a school 120 students are participating in game A or game B or both. if students are participating in game A is 50% and 30% to 60% of these students are participating in both A and B . what % of... more
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04/20/15

How many different values are possible for the random variable Y?
involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected... more
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04/20/15

How many different values are possible for the random variable X?
involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined... more
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04/20/15

What is the expected value of the coin selected (in cents)?
Assume that the drawer contains 12 coins: 3 quarters, 5 dimes, and 4 nickels. One coin is randomly selected.What is the expected value of the coin selected (in cents)?
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04/15/15

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?
about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/6. Assume that her forgetting is a... more
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04/15/15

What is the probability that at least one mouse is female, given that exactly one is gray?
Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted.What is the probability... more
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04/15/15

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 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball... more
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04/15/15

What is the probability that at least one inspector will find a defective widget?
Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the... more
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04/10/15

What is the probability that the Toyota leaves first?
Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the... more
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04/10/15

What is the probability of getting exactly 4 correct answers?
about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly... more
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04/10/15

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 0.3 in the first year. For each year thereafter, the business makes a profit with probability 0.6 if it made a profit in the previous year,... more
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04/10/15

What is the probability that the sum is 11, given that at least one of the numbers rolled is even?
involving the rolling of two fair dice. Answer the following questions.(1) What is the probability that the sum is 11, given that at least one of the numbers rolled is even? (2) What is the... more
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04/08/15

Compute the following conditional probabilities
about independent events A and B in a sample space S, but assume that Pr[A] = 0.25 and Pr[B] = 0.3. Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =
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04/08/15

(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
For this problem, assume that Pr[A ∪B] = 0.6 and Pr[A] = 0.35.(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
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04/08/15

Compute the following conditional probabilities
independent events E and F in a sample space S, but assume that Pr[E] = 0.4 and Pr[F] = 0.15. Compute the following conditional probabilities: (1) Pr[E′| F] = (2) Pr[E | F′] =
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04/08/15

Determine the probability of the following events
Assume that your sample space is S = { O1, O2, O3, O4, O5 } with associated weights (probabilities) w1 = 0.15, w2 = 0.30, w3 = 0.20, w4 = 0.10, and w5 = 0.25. Determine the probability of the... more
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04/06/15

What is the probability of getting exactly 4 correct answers?
a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 7 questions are answered by guessing randomly.What is the probability of getting exactly 4... more
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04/06/15

What is the probability of at least 6 correct answers?
Assume that 8 questions are answered by guessing.What is the probability of at least 6 correct answers?
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04/02/15

What is the probability of selecting 1 mouse of each gender given that both are grey?
For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly.(1) What is the probability of selecting... more
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04/02/15

What is the probability that exactly one blue ball is chosen?
Assume that you have 5 red balls and 6 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
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04/02/15

What is the probability of neither being red given that neither is blue?
For this problem, assume the box contains 3 red balls, 5 blue balls, and 8 white balls, and that we choose two balls at random from the box.What is the probability of neither being red given that... more
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04/02/15

What is the probability of selecting 1 mouse of each gender given that both are grey?
For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly. (1) What is the probability of... more
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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
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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
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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... more
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