Brian makes many predictions, but only 37% of them come true. The accuracy of the predictions are independent. Jack makes a bet with Joan on the next 4 days about Brian’s predictions. Jack gets 10 dollars when Brian's prediction is correct but loses 5 dollars when Brian is wrong. Let X be the total amount of money won by Jack for every correct prediction of Brian in the next 4 days. Find Jack’s expected earnings, Specify properties of expectations used if any.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Brian makes many predictions, but only 37% of them come true. The accuracy of the predictions are independent. Jack makes a bet with Joan on the next 4 days about Brian’s predictions. Jack gets 10 dollars when Brian's prediction is correct but loses 5 dollars when Brian is wrong. Let X be the total amount of money won by Jack for every correct prediction of Brian in the next 4 days. Find Jack’s expected earnings, Specify properties of expectations used if any.

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