A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the probability of tails is .25, and one trick coin which has tails on both sides. Let X be the random variable that represents the number of heads when every coin in the box is flipped. 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.)
A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the probability of tails is .25, and one trick coin which has tails on both sides. Let X be the random variable that represents the number of heads when every coin in the box is flipped. 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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the
probability of tails is .25, and one trick coin which has tails on both sides.
Let X be the random variable that represents the number of heads when every coin in the box is
flipped. 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.)
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