Question

1. Suppose a professor randomly selects 3 new teaching assistants from a total of 10applicants - 6 male and 4 female students. Let X be the number of female students who are hired. a.What is a suitable probability distribution model in this case? Justify your choice.Create the table for this distribution and construct a histogram (a-sheets). b. Determine the expected value of females that will be hired (use 2 methods). C.Find the probability that no female students are hired. d.Find the probability that fewer than three female students are hired.

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