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University students are confident that they will find a job after graduation. According to a survey, 47% of students believe that is a good time

University students are confident that they will find a job after graduation. According to a survey, 47% of students believe that is a good time to find a quality job. Suppose you randomly select 12 students and ask about their job prospects. Answer the following questions, to get the probabilities, you should use R and show your code and output in your file.

What is the probability that 5 of them believe that is now a good time to find a quality job?

What is the probability that at least 6 believe that is now a good time to find a quality job?

What is the probability that fewer than 4 believe that is now a good time to find a quality job?

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