Sixty-five percent of the students applying to a university are accepted. Using the binomial probability tables, answer the following. (a) What is the probability that among the next 18 applicants at least 7 will be accepted? (Round your answer to four decimal places.) 0.1792 (b) What is the probability that among the next 18 applicants exactly 10 will be accepted? (Round your answer to four decimal places.) (c) What is the probability that among the next 18 applicants exactly 8 will be rejected? (Round your answer to four decimal places.) 0.9788 (d) What is the probability that among the next 18 applicants 15 or more will be accepted? (Round your answer to four decimal places.) 0.0783 (e) Determine the expected number of acceptances. 11.7 (f) Compute the standard deviation. (Round your answer to four decimal places.) 2.0236

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You may need to use the appropriate appendix table to answer this question.
Sixty-five percent of the students applying to a university are accepted. Using the binomial probability tables, answer the following.
(a) What is the probability that among the next 18 applicants at least 7 will be accepted? (Round your answer to four decimal places.)
0.1792
(b) What is the probability that among the next 18 applicants exactly 10 will be accepted? (Round your answer to four decimal places.)
(c) What is the probability that among the next 18 applicants exactly 8 will be rejected? (Round your answer to four decimal places.)
0.9788
(d) What is the probability that among the next 18 applicants 15 or more will be accepted? (Round your answer to four decimal places.)
0.0783
(e) Determine the expected number of acceptances.
11.7
(f) Compute the standard deviation. (Round your answer to four decimal places.)
2.0236
Transcribed Image Text:You may need to use the appropriate appendix table to answer this question. Sixty-five percent of the students applying to a university are accepted. Using the binomial probability tables, answer the following. (a) What is the probability that among the next 18 applicants at least 7 will be accepted? (Round your answer to four decimal places.) 0.1792 (b) What is the probability that among the next 18 applicants exactly 10 will be accepted? (Round your answer to four decimal places.) (c) What is the probability that among the next 18 applicants exactly 8 will be rejected? (Round your answer to four decimal places.) 0.9788 (d) What is the probability that among the next 18 applicants 15 or more will be accepted? (Round your answer to four decimal places.) 0.0783 (e) Determine the expected number of acceptances. 11.7 (f) Compute the standard deviation. (Round your answer to four decimal places.) 2.0236
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