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)...
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)...
Solve the system of linear equations using the Gauss-Jordan elimination method x – 2y = 8 3x + 4y = 4
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′]...
Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem. X ...
Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem. X ...
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 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)...
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...
Assume that the fleet consists of 35 percent Lexus, 45 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 90 percent of the Infinities, and 40 percent of the Mercedes...
Assume that the business makes a profit with probability 0.2 in the first year. For each year thereafter, the business makes a profit with probability 0.7 if it made a profit in the previous year,...
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...
nvolving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total of 10 apples: 6 red and 4 yellow. (1) What is the probability that...
Assume that the box contains 12 balls: 3 red, 4 blue, and 5 yellow. As in the text, you draw one ball, note its color, and if it is yellow replace it. If it is not yellow you do not replace it. You...
given U={0,1,2,3,4,5,6,7,8,9}, x={2,4,6,8}, Y={0,2,3,4,5,6}, Z={0,1,2,3,8,9}
a bin contains 4 apples and 3 oranges. 5 pieces of fruit are selected at random Without replacement A.) construct a probabilistic model for this experiment using combination b.) What is the...
A service station has 65 octane and 78 octane gasoline. How many liters of each gasoline should be mixed to provide 13 liters of 75 octane gasoline for a chemistry experiment?
How would you simplify [(6t)^2]^6? in exponential notation
Three balls are selected at random WITHOUT replacement from an urn with 5 WHITE and 4 BLUE balls. Calculate the probability that: a) two balls will be white and 1 ball will be blue b)...
500 freshman at USC are pursuing a business degree. 300 are enrolled in economics 225 in mathematics 140 in both courses what is the probability a freshman selected...
Let A and be two mutually exclusive events. The P(A)= .37 and the P(B)= .24 Compute all of the following: a) P(A intersection B) b) P(Bc) c) P(A U B) d) P(Ac) e)...