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(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?

(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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Need Parts D and E.

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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