CS 70 Reading Quiz -- Week 14, Sunday

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1. I shuffle a standard deck of 52 cards thoroughly. Let E denote the event that the top card is a spade. Let F denote the event that the 3rd card from the top is a spade. It's easy to see that Pr[E] = 1/4. Is Pr[F] larger than, equal to, or smaller than 1/4? Why?

2. Suppose X ~ Bernoulli(1/2), i.e., let X be a random variable with Pr[X=0] = Pr[X=1] = 1/2. Let f(x) = (x-2)^2. Is E[f(X)] larger than, equal to, or smaller than f(E[X])? Why?

3. What did you find difficult or confusing about the reading or the lectures, and what would you most like to see explained better? If nothing was difficult or confusing, and you understand the material pretty well, tell us what you found most interesting. Please be as specific as possible.

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