Tom tosses 100 coins. Let H be the number of heads he gets. For each head that

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Tom tosses 100 coins. Let H be the number of heads he gets. For each head that he tosses, Tom will get a reward. The amount of each reward is normally distributed with μ = 5 and σ2 = 1. (The units are in dollars, and Tom might get a negative “reward.”) Individual rewards are independent of each other and independent of H. Find the expectation and standard deviation of Tom’s total reward.

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