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 following...
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 following...
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...
Assume that 40 percent are of type A, 20 percent of type B, and 40 percent of type C. It is known that 30 percent of seeds of type A, 60 percent of type B, and 70 percent of type C have germinated...
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...
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...
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...
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?
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...
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...
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...
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 Mercedes...
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,...
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 attends...
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)...
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 for...
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...
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...
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...
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...
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...