82 Answered Questions for the topic Venn Diagram

08/23/15

problem set

In a survey, 110 freshmen of San Pedro were asked on their preferred network SIM. The result was: 66 used Smart49 used Globe26 used Sun Cellular28 used Smart and Globe12 used Globe and Sun... more

08/23/15

How many of..?

Frenchy Fries has added two new ways to enjoy their best-selling Jolly Crispy Fries. The choices now would be Sour Cream Fries, Cheezy Fries, and Classic Fries. A month after its launch, a survey... more

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

04/20/15

How many different values are possible for the random variable X

Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of... more

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

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)?

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

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

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

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

04/14/15

figure out a venn diagram about numbers

100 people were asked if they knew who any of the following are: Thor, Zeus, and Osiris.25 people did not know any of these.3 people knew all three.48 people knew who Zeus or Osiris were but did... more

04/10/15

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 0.25, and... more

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

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

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

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] =

04/08/15

Find the associated weights for each outcome.

involving weights of outcomes in a sample space S = { O1, O2, O3, O4 }. Assume that Pr[ { O1, O2 } ] = 0.51, Pr[ { O1, O3 } ] = 0.56, and Pr[ { O1, O2, O3 } ] = 0.77. Find the associated weights... more

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

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

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

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

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

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... more

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] =

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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