A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and theprobability of heads is .25, and one trick coin which has tails on both sides.(a) What is the probability that a randomly selected coin from the box will come up heads whenflipped?(b) Suppose you randomly pick a coin from the box and flip it, and it comes up tails. What is theprobability that it's the trick coin?(c) Let X be the random variable that represents the number of heads when every coin in the box isflipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes,or you can remember that coin flips are independent of each other.)(d) What is the expected number of heads when all the coins are flipped?

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Answered: A box contains two fair coins, two…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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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