(a) Let X be the number of times you swim in a given week when you have visited the gym on 4 occasions. 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 swim every time you visit the ARC in a given week? (d) What is the probability that you swim in the pool at least 3 times in a given week? (e) What is the probability that you use the pool less than twice during a given week? Round your answer to 3 decimal places.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You go to the ARC gym 4 times a week, each time you visit there is a 0.85 probability that you will
swim in the pool. You make this choice independently of other times you have visited the gym the same
week.
We will now consider how many times you use the pool in a given week.
(a) Let X be the number of times you swim in a given week when you have visited the gym on 4
occasions. 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 swim every time you visit the ARC in a given week?
(d) What is the probability that you swim in the pool at least 3 times in a given week?
(e) What is the probability that you use the pool less than twice during a given week? Round your
answer to 3 decimal places.
Transcribed Image Text:You go to the ARC gym 4 times a week, each time you visit there is a 0.85 probability that you will swim in the pool. You make this choice independently of other times you have visited the gym the same week. We will now consider how many times you use the pool in a given week. (a) Let X be the number of times you swim in a given week when you have visited the gym on 4 occasions. 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 swim every time you visit the ARC in a given week? (d) What is the probability that you swim in the pool at least 3 times in a given week? (e) What is the probability that you use the pool less than twice during a given week? Round your answer to 3 decimal places.
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