According to a research study, 54% of all federal inmates are serving time for drug dealing. A random sample of 21 federal inmates is selected. For this sample, what is the probability that 9 or more are serving time for drug dealing? (Express to 4 decimal places.)

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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1.a.According to a research study, 54% of all federal inmates are serving time for drug dealing. A random sample of 21 federal inmates is selected.

For this sample, what is the probability that 9 or more are serving time for drug dealing? (Express to 4 decimal places.)
 
b.A teacher knows from past experience that the time for students to complete a quiz is normally distributed with mean 28 minutes and standard deviation 2 minutes.
If the teacher allows 32 minutes for the quiz, what percent of the students will not complete it? (Round your answer to one decimal place.)
 %
c.Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. In a certain year, the total MCAT scores were close to Normal with mean 25.2 and standard deviation 6.2.

A student scored 34. What was the percentile? (Round your answer to the nearest whole number.  ? %
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