Question: 1. A nonnegative random variable X has mean 500 and standard deviation 10. (a) Without making any assumptions on the distribution of X, find a

 1. A nonnegative random variable X has mean 500 and standard

deviation 10. (a) Without making any assumptions on the distribution of X,

1. A nonnegative random variable X has mean 500 and standard deviation 10. (a) Without making any assumptions on the distribution of X, find a reasonable upper bound on P(X > 550). (b) Find a smaller upper bound on P(X 2 550) assuming that the distribution of X is symmetric around its mean 500

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