John and Larry are fundraisers for UNO. A wealthy benefactor says that he will match whatever John raises in the month of June – so if John raises 10,000 the benefactor will contribute an additional 10,000; if John raises 15,000, the benefactor will contribute an additional 15,000, etc. If John’s average monthly fundraising figure (expected value) is $25,000, and Larry’s is $30,000, what is the expected value for how much money UNO will raise in June? Explicitly state any properties of expectation you use to justify your conclusion.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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John and Larry are fundraisers for UNO. A wealthy benefactor says that he will match whatever John raises in the month of June – so if John raises 10,000 the benefactor will contribute an additional 10,000; if John raises 15,000, the benefactor will contribute an additional 15,000, etc. If John’s average monthly fundraising figure (expected value) is $25,000, and Larry’s is $30,000, what is the expected value for how much money UNO will raise in June?
Explicitly state any properties of expectation you use to justify your conclusion.

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