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.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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