Use the Venn Diagram below to answer questions like those in problem 3 of section 1.2 of your textbook. In the Venn diagram, there are three sets -- A, B, and C -- and eight points -- p, q, r, s,...
Use the Venn Diagram below to answer questions like those in problem 3 of section 1.2 of your textbook. In the Venn diagram, there are three sets -- A, B, and C -- and eight points -- p, q, r, s,...
In a survey, 110 freshmen of San Pedro were asked on their preferred network SIM. The result was: 66 used Smart 49 used Globe 26 used Sun Cellular 28 used Smart and Globe 12 used Globe...
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...
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 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 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...
but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15. Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
Suppose for this problem that Pr[E] = [ 1/12], Pr[F] = [ 1/6], and Pr[E ∩F′] = [ 0/1]. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
Suppose for this problem that Pr[E] = [ 1/12], Pr[F] = [ 1/6], and Pr[E ∩F′] = [ 0/1]. (1) What is Pr[E | F]? (2) What is Pr[F | E]?
events E and F in a sample space S, but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15. Compute the following conditional probabilities: (1) Pr[E | F]...
events A and B in a sample space S. Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A ∩B] = 0.3. (1) Pr[B′∩A] = (2) Pr[A′∩B] = (3) Pr[A′∩B′] =
For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so...
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...