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)...
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 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...
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]?
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...
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)...
I live in a rural community with a population of 24,621 surrounded by hunters & farmers who hunt and shoot woodchucks in their field. What are the odds of having a barn window shot that...
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]...
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...
events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2)...
Suppose we have a biased coin, with a probability p of coming up heads and q=1-p of coming up tails on any given toss, but we are not given what p or q are. We know from class that the expected value...
While playing Yahtzee, Amanda rolls five dice and gets a 1, a 2, a 4, a 5, and a 6. She decides to keep the 1,2, and 4, and reroll the 5 and 6. What is the probability that Amanda will have a small...
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′] =
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′]...
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)...
These are the choices? 1) 9x8x7x6 2) 9x4 3) 9 to the 4th power 4) 4 to the 9th power Please explain logic please