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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 o, of the numbers (of pitches with which he hits
the strike-zone on different days) that Fary records.
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