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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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