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 25 students who have recently taken the test. (Round your probabilities to three decimal places.) (a) What is the probability that exactly 1 received a special accommodation? .375 (b) What is the probability that at least 1 received a special accommodation? .636 x (c) What is the probability that at least 2 received a special accommodation? .261 x (d) What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated? Hint: First, calculate μ and σ. Then calculate the probabilities for all integers between μ- 2σ and μ + 2σ. .931 × You may need to use the appropriate table in the Appendix of Tables to answer this question.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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 25 students who have recently
taken the test. (Round your probabilities to three decimal places.)
(a) What is the probability that exactly 1 received a special accommodation?
.375
(b) What is the probability that at least 1 received a special accommodation?
.636
x
(c) What is the probability that at least 2 received a special accommodation?
.261
x
(d) What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated? Hint: First, calculate
μ and σ. Then calculate the probabilities for all integers between μ- 2σ and μ + 2σ.
.931
×
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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 25 students who have recently taken the test. (Round your probabilities to three decimal places.) (a) What is the probability that exactly 1 received a special accommodation? .375 (b) What is the probability that at least 1 received a special accommodation? .636 x (c) What is the probability that at least 2 received a special accommodation? .261 x (d) What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated? Hint: First, calculate μ and σ. Then calculate the probabilities for all integers between μ- 2σ and μ + 2σ. .931 × You may need to use the appropriate table in the Appendix of Tables to answer this question.
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