There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 80% of the time. (a) When one of these coins were selected at random and flipped, what is the probability that it shows heads? (b) A coin is selected randomly and is flipped. If X is a random variable that shows the number of
There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 80% of the time. (a) When one of these coins were selected at random and flipped, what is the probability that it shows heads? (b) A coin is selected randomly and is flipped. If X is a random variable that shows the number of
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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Transcribed Image Text:3. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a
biased coin that comes up heads 80% of the time.
(a) When one of these coins were selected at random and flipped, what is the probability that it
shows heads?
(b) A coin is selected randonmly and is flipped. If X is a random variable that shows the number of
heads, what is expected value of X?
(c) All three coins are flipped. If X is a random variable that shows the number of heads, what is
expected value of X?
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