in a far city 90% of the population own a cycle. 15% own a car and everybody owns a cycle or car or both. what % of the population own a car but not a cycle (a)10% (b)20%...
in a far city 90% of the population own a cycle. 15% own a car and everybody owns a cycle or car or both. what % of the population own a car but not a cycle (a)10% (b)20%...
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...
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 high...
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 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...
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...
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...
Assume that n = 13, and p = [ 4/5]. Find the probability of at least 2 successes and at least 1 failure.
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...
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)?
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...
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...
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 box...
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...
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 Bernoulli...
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...
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
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,...
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...
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)...