Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-1 Sample Spaces and Probability - Extending the Concepts - Page 201: 46


0 or 2 heads $P(0)=P(2)=0.25$ 1 head $P(1)=0.5$

Work Step by Step

While you should do the experiment by tossing two coins 100 times, record the outcomes, and compute the empirical probabilities of each, we can use the binomial distribution to predict the results. $P(x)=nCx⋅p^xq^{n−x}$ where $n=2,x=0,1,2, p=q=0.5$ is the probability of getting a head or tail. We have $P(0)=P(2)=0.25$ and $P(1)=0.5$
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