Suppose you walk through Aldrich park with a probability of 0.7 on any given weekday that you're going to classes. X is the number of times you walk through Aldrich park in an entire quarter, so 11 weeks or 55 days. What kind of distribution does X follow? Interpret the parameters of this distribution. What assumptions do you need to make to say that X has this distribution? What is the probability that you walk through Aldrich Park every day out of the 55?

MATLAB: An Introduction with Applications
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In this question, we want to consider how many times a week you walk through Aldrich park to class. You assume that on any day you can walk through Aldrich park or around it, and you do this independently.

(a) Suppose you walk through Aldrich park with a probability of 0.7 on any given weekday that you’re going to classes. \( X \) is the number of times you walk through Aldrich park in an entire quarter, so 11 weeks or 55 days. What kind of distribution does \( X \) follow? Interpret the parameters of this distribution.

(b) What assumptions do you need to make to say that \( X \) has this distribution?

(c) What is the probability that you walk through Aldrich Park every day out of the 55?

(d) What is the probability that on at least 22 days you walk through Aldrich Park?

(e) What is the probability that you walk through Aldrich Park less than 15 times during the quarter? Round your answer to 3 decimal places.
Transcribed Image Text:In this question, we want to consider how many times a week you walk through Aldrich park to class. You assume that on any day you can walk through Aldrich park or around it, and you do this independently. (a) Suppose you walk through Aldrich park with a probability of 0.7 on any given weekday that you’re going to classes. \( X \) is the number of times you walk through Aldrich park in an entire quarter, so 11 weeks or 55 days. What kind of distribution does \( X \) follow? Interpret the parameters of this distribution. (b) What assumptions do you need to make to say that \( X \) has this distribution? (c) What is the probability that you walk through Aldrich Park every day out of the 55? (d) What is the probability that on at least 22 days you walk through Aldrich Park? (e) What is the probability that you walk through Aldrich Park less than 15 times during the quarter? Round your answer to 3 decimal places.
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