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# A fair coin is flipped twice. Let X be the number of Heads in the two tosses, and Y be ISBN: 9781466575578 423

## Solution for problem 4 Chapter 7

Introduction to Probability | 1st Edition

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Problem 4

A fair coin is flipped twice. Let X be the number of Heads in the two tosses, and Y be the indicator r.v for the tosses landing the same way. (a) Find the joint PMF of X and Y . (b) Find the marginal PMFs of X and Y . (c) Are X and Y independent? (d) Find the conditional PMFs of Y given X = x and of X given Y = y.

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UNIT 10 – Testing Hypothesis About Proportions Standardized Value (z-score, z*) – # of standard deviations an observation lies away from the mean Z = pp̂ – p = ( value – mean ) √ pq ÷ n standard deviation Hypothesis – statement about the population distribution parameter (ex: p), usually claims the parameter takes on a specific value Class Example: Study to see in bank executives are more likely to promote males than females, SRS of 48 execs were given fake resumes of 24 men & 24 women. 35 execs said they would hire the candidate; 21 male & 14 female. Is this difference evidence of discrimination Start with idea that no discrimination has occurred. If so, since males & females were equally represented in the

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##### ISBN: 9781466575578

Since the solution to 4 from 7 chapter was answered, more than 243 students have viewed the full step-by-step answer. Introduction to Probability was written by and is associated to the ISBN: 9781466575578. This textbook survival guide was created for the textbook: Introduction to Probability, edition: 1. The answer to “A fair coin is flipped twice. Let X be the number of Heads in the two tosses, and Y be the indicator r.v for the tosses landing the same way. (a) Find the joint PMF of X and Y . (b) Find the marginal PMFs of X and Y . (c) Are X and Y independent? (d) Find the conditional PMFs of Y given X = x and of X given Y = y.” is broken down into a number of easy to follow steps, and 74 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 13 chapters, and 602 solutions. The full step-by-step solution to problem: 4 from chapter: 7 was answered by , our top Statistics solution expert on 03/14/18, 07:48PM.

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