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Overall, Fary hits the strike-zone with strike-zone with any given pitch is .88 (a) One day, he throws 150 pitches. V exactly 134 pitches?

Overall, Fary hits the strike-zone with strike-zone with any given pitch is .88 (a) One day, he throws 150 pitches. V exactly 134 pitches?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Overall, Fary hits the strike-zone with 88% of his pitches (that is, the probability that he hits the strike-zone with any given pitch is .88). (a) One day, he throws 150 pitches. What is the probability that he hits the strike-zone with exactly 134 pitches? (b) Over the course of one week, Fary throws 500 pitches. What is the probability that he hits the strike-zone with 425 or more pitches? Now, every day for eternity Fary throws 50 pitches and records the number with which he hits the strike-zone. (c) Find the mean μ, and the standard deviation 6, of the numbers (of pitches with which he hits the strike-zone on different days) that Fary records.
Transcribed Image Text:Overall, Fary hits the strike-zone with 88% of his pitches (that is, the probability that he hits the strike-zone with any given pitch is .88). (a) One day, he throws 150 pitches. What is the probability that he hits the strike-zone with exactly 134 pitches? (b) Over the course of one week, Fary throws 500 pitches. What is the probability that he hits the strike-zone with 425 or more pitches? Now, every day for eternity Fary throws 50 pitches and records the number with which he hits the strike-zone. (c) Find the mean μ, and the standard deviation 6, of the numbers (of pitches with which he hits the strike-zone on different days) that Fary records.
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