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)?
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...
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...
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...
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...
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...
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 n = 13, and p = [ 4/5]. Find the probability of at least 2 successes and at least 1 failure.
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...
events A and B of a sample space S, but assume that Pr[A] = 0.35 and Pr[B] = 0.5. Find Pr[A∪B] under each of the following conditions: (1) If A ⊂ B, then Pr[A∪B] = . (2)...
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)...
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...
Assume that 8 questions are answered by guessing. What is the probability of at least 6 correct answers?
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...
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 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...
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?