Jay has $500 in the bank when he decides to try a savings experiment. On each day i ∈ [1..30], Jay flips a fair coin. If it comes up heads, he deposits i dollars into the bank; if it comes up tails, he withdraws $10. How many dollars should he expect to have in the bank after 30 days? Please begin by describing the probability space.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Jay has $500 in the bank when he decides to try a savings experiment.
On each day i ∈ [1..30], Jay flips a fair coin. If it comes up heads, he
deposits i dollars into the bank; if it comes up tails, he withdraws $10.
How many dollars should he expect to have in the bank after 30 days?
Please begin by describing the probability space.

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