Five equally qualified students (Sarah, Amy, Rahman, Firdaus and Shuan) have applied to serve as student...

 

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Five equally qualified students (Sarah, Amy, Rahman, Firdaus and Shuan) have applied to serve as student representatives on the campus housing committee. Sarah and Shuan live in the residence hall and the other students live off-campus. A random sample of three students is selected from the five applicants to serve in the committee. Suppose a random variable X is defined as the number of student committee members who live in the residence hall. a) Draw the tree diagram and construct the probability distribution of X. b) What is the probability that the committee has at least one student who lives in the residence hall? c) Based on the answer in (b), would you consider this event likely to occur? Justify your answer. d) What is the probability that exactly two students live off- campus? Interpret. Five equally qualified students (Sarah, Amy, Rahman, Firdaus and Shuan) have applied to serve as student representatives on the campus housing committee. Sarah and Shuan live in the residence hall and the other students live off-campus. A random sample of three students is selected from the five applicants to serve in the committee. Suppose a random variable X is defined as the number of student committee members who live in the residence hall. a) Draw the tree diagram and construct the probability distribution of X. b) What is the probability that the committee has at least one student who lives in the residence hall? c) Based on the answer in (b), would you consider this event likely to occur? Justify your answer. d) What is the probability that exactly two students live off- campus? Interpret.

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To answer the questions regarding the probability distribution and likelihood of events we can use a ... View the full answer