Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.) USE SALT (a) What is the probability that exactly 1 received a special accommodation? (b) What is the probability that at least 1 received a special accommodation? (c) What is the probability that at least 2 received a special accommodation?
Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.) USE SALT (a) What is the probability that exactly 1 received a special accommodation? (b) What is the probability that at least 1 received a special accommodation? (c) What is the probability that at least 2 received a special accommodation?
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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Question
![Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider
a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.)
USE SALT
(a) What is the probability that exactly 1 received a special accommodation?
(b) What is the probability that at least 1 received a special accommodation?
(c) What is the probability that at least 2 received a special accommodation?
(d) What is the probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would
expect to be accommodated?
(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed
4.5 hours. What would you expect the average time allowed the 15 selected students to be? (Round your answer to two decimal places.)
hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a4cf3b-7b0c-4ef2-a9bb-2a52eee0ff0c%2F9fe5db27-96c4-4ef9-ae6d-b64d7ced4ad4%2F3toiyev_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider
a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.)
USE SALT
(a) What is the probability that exactly 1 received a special accommodation?
(b) What is the probability that at least 1 received a special accommodation?
(c) What is the probability that at least 2 received a special accommodation?
(d) What is the probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would
expect to be accommodated?
(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed
4.5 hours. What would you expect the average time allowed the 15 selected students to be? (Round your answer to two decimal places.)
hr
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Follow-up Question
![Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider
a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.)
USE SALT
(d) What is the probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would
expect to be accommodated?
(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed
4.5 hours. What would you expect the average time allowed the 15 selected students to be? (Round your answer to two decimal places.)
hr](https://content.bartleby.com/qna-images/question/43a4cf3b-7b0c-4ef2-a9bb-2a52eee0ff0c/70591265-cf98-45c9-8ec3-17bc5ed0d854/4unczwh_thumbnail.png)
Transcribed Image Text:Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider
a random sample of 15 students who have recently taken the test. (Round your probabilities to three decimal places.)
USE SALT
(d) What is the probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would
expect to be accommodated?
(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed
4.5 hours. What would you expect the average time allowed the 15 selected students to be? (Round your answer to two decimal places.)
hr
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