Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. The events A and B are defined as follows: A = event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. List the outcomes that comprise the event (A & B).?

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

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