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Peter the Anteater sometimes walks around UCI's campus. The probability that you see Peter during any given day is 0.0689. Let X be the number of days you walk through campus before you see Peter the Anteater.

Peter the Anteater sometimes walks around UCI's campus. The probability that you see Peter during any given day is 0.0689. Let X be the number of days you walk through campus before you see Peter the Anteater.

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
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Peter the Anteater sometimes walks around UCI's campus. The probability that you see Peter during any given day is 0.0689. Let X be the number of days you walk through campus before you see Peter the Anteater. (a) What distribution does X follow? What assumptions do you need to make to say that X has this distribution? (b) Compute the expected number of weeks from now until you see Peter the Anteater. (Make sure to identify the units.) (c) What is the variance and standard deviation of the number of days until you see Peter the Anteater? Provide the appropriate units and answer rounded to 3 decimal places. (d) What is the probability that when you see Peter the Anteater it is during your midterms in about 3 weeks, or 21 days? Round your answer to 3 sig figs.
Transcribed Image Text:Peter the Anteater sometimes walks around UCI's campus. The probability that you see Peter during any given day is 0.0689. Let X be the number of days you walk through campus before you see Peter the Anteater. (a) What distribution does X follow? What assumptions do you need to make to say that X has this distribution? (b) Compute the expected number of weeks from now until you see Peter the Anteater. (Make sure to identify the units.) (c) What is the variance and standard deviation of the number of days until you see Peter the Anteater? Provide the appropriate units and answer rounded to 3 decimal places. (d) What is the probability that when you see Peter the Anteater it is during your midterms in about 3 weeks, or 21 days? Round your answer to 3 sig figs.
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