For a binomial probability distribution, it is unusual for the number of successes to be less than μ-2.50 or greater than + 2.50. USE SALT (a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain. O Yes. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would be unusual. O No. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would not be unusual. O Yes. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual. O No. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would not be unusual. (b) If you were simply guessing on a multiple-choice exam consisting of 10 questions with 5 possible responses for each question, would you be likely to get more than half of the questions correct? Explain. O Yes. P(x > 5) is large, so it would be likely to get more than half of the questions correct. O Yes. P(x > 5) is very small, so it would be likely to get more than half of the questions correct. O No. P(x > 5) is very small, so it would be unlikely to get more than half of the questions correct. O No. P(x > 5) is large, so it would be unlikely to get more than half of the questions correct.

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For a binomial probability distribution, it is unusual for the number of successes to be less than μ-2.50 or greater than μ + 2.50.
USE SALT
(a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain.
O Yes. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would be unusual.
No. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would not be unusual.
O Yes. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual.
O No. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would not be unusual.
(b) If you were simply guessing on a multiple-choice exam consisting of 10 questions with 5 possible responses for each question, would you be likely to get more than half of the questions correct? Explain.
O Yes. P(x > 5) is large, so it would be likely to get more than half of the questions correct.
O Yes. P(x > 5) is very small, so it would be likely to get more than half of the questions correct.
O No. P(x > 5) is very small, so it would be unlikely to get more than half of the questions correct.
O No. P(x > 5) is large, so it would be unlikely to get more than half of the questions correct.
Transcribed Image Text:For a binomial probability distribution, it is unusual for the number of successes to be less than μ-2.50 or greater than μ + 2.50. USE SALT (a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain. O Yes. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would be unusual. No. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would not be unusual. O Yes. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual. O No. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would not be unusual. (b) If you were simply guessing on a multiple-choice exam consisting of 10 questions with 5 possible responses for each question, would you be likely to get more than half of the questions correct? Explain. O Yes. P(x > 5) is large, so it would be likely to get more than half of the questions correct. O Yes. P(x > 5) is very small, so it would be likely to get more than half of the questions correct. O No. P(x > 5) is very small, so it would be unlikely to get more than half of the questions correct. O No. P(x > 5) is large, so it would be unlikely to get more than half of the questions correct.
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