Stephen plays a game with a biased coin with P(Heads) = 0.69 and P(Tails) = 0.31. He plays each game by tossing the coin once. If he tosses a head, he pays $4. If he tosses a tail, he wins $12. Complete the probability distribution table. Give all answers accurate to at least 2 decimal places. Probability Distribution Table P(x) 12 What is your long-term expected profit per game? What is the standard deviation?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Stephen plays a game with a biased coin with P(Heads) = 0.69 and P(Tails) = 0.31. He plays
each game by tossing the coin once. If he tosses a head, he pays $4. If he tosses a tail, he wins $12.
Complete the probability distribution table. Give all answers accurate to at least 2 decimal places.
Probability
Distribution Table
P(x)
12
What is your long-term expected profit per game?
What is the standard deviation?
$
%24
Transcribed Image Text:Stephen plays a game with a biased coin with P(Heads) = 0.69 and P(Tails) = 0.31. He plays each game by tossing the coin once. If he tosses a head, he pays $4. If he tosses a tail, he wins $12. Complete the probability distribution table. Give all answers accurate to at least 2 decimal places. Probability Distribution Table P(x) 12 What is your long-term expected profit per game? What is the standard deviation? $ %24
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