A survey showed that the probability that an employee gets placed in a job that is suitable for the employee is 0.65. A psychometric test consultant
claimed that he could help place any employee in a suitable job based on the result of a psychometric test. An employee working in a particular
company decides to take this test. The test has an accuracy rate of 70%. This data is represented in the tree diagram.
С
А
probability that
the employee
is in the
wrong job
test predicts that
the employee is in
the correct job
O
test predicts that
the employee is in
the wrong job
D
12
Select the correct answer.
Which of these probability values fit the tree diagram?
A.
PA) = 0.35, PB)-0.65, PO -0.70, PCD) = 0.30, PC) = 0.30, PA) = 0.70
B.
PA) = 0.35, PCB) = 0.65, P = 0.70,PD) = 0.30, P(E) 0.70, PCA) -0.30
PA) = 0.35, PCB) -0.65, P = 0.30, PD) = 0.70, PCE) 0.70, PCA) = 0.30
D.
PA) = 0.65, PCB) -0.35, PC) = 0.70, PCD) = 0.30, PCE) = 0.30, PA) = 0.70
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a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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