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write out and show all work clearly, thanks! 14. The table below describes the probability for the number of adults (among 4 randomly selected adults)

write out and show all work clearly, thanks!

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14. The table below describes the probability for the number of adults (among 4 randomly selected adults) having a college degree in a particular town. This means if you select a group of 4 people in this particular town, either 0, 1, 2, 3, or all 4 people in that group of 4 have a college degree. (6 pts) X P(x) 0 0.1296 1 0.3456 2 0.3456 3 0.1536 4 0.0256 a) What is the probability that exactly 2 people in a group of 4 have a college degree in this particular town? b) What is the probability that at least 2 people in a group of 4 have a college degree in this particular town? c) What is the expected value (mean) for the number of people that have a college degree in a group of 4 in this particular town? 15. In a survey of college graduates, 57% said they found employment in a closely related field to their college major. If 6 college graduates are randomly selected, what is the probability that exactly 2 of them found employment in a closely related field to their college major? (4 pts) 16. In the problem above, what is the probability that if 6 college graduates are randomly selected that at least one found employment in a closely related field to their college major? (4 pts)

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