The Office of Student Affairs receives numerous appeals from students seeking reevaluation of their enrollment status. The office has observed that, on average, 30% of appeals are successful. Suppose the office has recently received 15 appeals. Calculate the probability that none of the appeals will be successful. Determine the probability that exactly three appeals will be successful. Find the probability that at least two appeals will be successful. At least two appeals means P(x≥2). Compute the probability that less than half of the appeals will be successful. Less than half means P(x<8) or P(x≤7).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The Office of Student Affairs receives numerous appeals from students seeking reevaluation of their enrollment status. The office has observed that, on average, 30% of appeals are successful. Suppose the office has recently received 15 appeals. Calculate the probability that none of the appeals will be successful. Determine the probability that exactly three appeals will be successful. Find the probability that at least two appeals will be successful. At least two appeals means P(x≥2). Compute the probability that less than half of the appeals will be successful. Less than half means P(x<8) or P(x≤7).
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