Let W be a random variable giving the number of tails minus the number of heads in three tosses of a coin. Assuming that a tail is four times as likely to occur, find the probability distribution of the random variabl
Let W be a random variable giving the number of tails minus the number of heads in three tosses of a coin. Assuming that a tail is four times as likely to occur, find the probability distribution of the random variabl
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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Let W be a random variable giving the number of tails minus the number of heads in three tosses of a coin. Assuming that a tail is four times as likely to occur, find the probability distribution of the random variable W.
Expert Solution
Step 1
From the given information, three coins are tossed.
That is, the total number of outcomes is 23=8.
Given that a tail is four times as likely to occur.
That is, P(T)=4P(H)......(1)
From the total probability condition,
Therefore,
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