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.

MATLAB: An Introduction with Applications
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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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