Suppose that 2% 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 30 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? (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 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated? Hint: First, calculate u and o. Then calculate the probabilities for all integers between μ - 2o and μ + 20. You may need to use the appropriate table in the Appendix of Tables to answer this question.

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Suppose that 2% 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 30 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?
(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 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?
Hint: First, calculate u and o. Then calculate the probabilities for all integers between μ - 2o and μ + 20.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Suppose that 2% 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 30 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? (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 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated? Hint: First, calculate u and o. Then calculate the probabilities for all integers between μ - 2o and μ + 20. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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