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 sophomores,...
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 sophomores,...
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 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...
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...
Let's say I'm playing a game with my friend that involves rolling dice. The condition for victory is that i must roll a dice and if i roll a 1, i win. However if i fail the first time i still...
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)...
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]?
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 a subset of 8 different days of the year is selected at random. What is the probability that each day is from a different month? (For simplicity, assume a year has 12 months and 30...
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]?
I am a dealer in Andy Warhol prints. He made one print with only 50 in the edition. They were numbered 1/50 through 50/50. I need to find 3/50 what is the probability of my being...
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]...
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]?
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)...
events A and B in a sample space S. Assume that Pr[A] = 0.45, Pr[B] = 0.55, and Pr[A′∩B] = 0.4. Find the following probabilities: (1) Pr[B′∩A] = (2) Pr[A∩B] = (3) Pr[A′∩B′]...
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′] =
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 0.4, and attends...
involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following probabilities: (1)...