Q1 a) Assume you flip the coin 30 times and observed a score of 18 heads. If you treat this as drawing from a Bernoulli distribution then what was the chance you observed an outcome at least as extreme as you have? Q1 b)ı Assume you flip the coin 900 times and for every 30 flips you happened to always observe a score of 18 heads consistently. If you treat this as drawing from a Binomial distribution then what was the chance you observed an outcome at least as extreme as you have? Q1 c) Approximately what would your sample average need to be in part b) to make it equally extreme as the sample average in part a) was?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please solve Q1 a, b, c subpart
Q1 a)
Assume you flip the coin 30 times and observed a score of 18 heads. If you treat this as drawing from a
Bernoulli distribution then what was the chance you observed an outcome at least as extreme as you
have?
Q1 b)i
Assume you flip the coin 900 times and for every 30 flips you happened to always observe a score of 18
heads consistently. If you treat this as drawing from a Binomial distribution then what was the chance you
observed an outcome at least as extreme as you have?
Q1 c):
Approximately what would your sample average need to be in part b) to make it equally extreme as the
sample average in part a) was?
Transcribed Image Text:Q1 a) Assume you flip the coin 30 times and observed a score of 18 heads. If you treat this as drawing from a Bernoulli distribution then what was the chance you observed an outcome at least as extreme as you have? Q1 b)i Assume you flip the coin 900 times and for every 30 flips you happened to always observe a score of 18 heads consistently. If you treat this as drawing from a Binomial distribution then what was the chance you observed an outcome at least as extreme as you have? Q1 c): Approximately what would your sample average need to be in part b) to make it equally extreme as the sample average in part a) was?
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