Question: 3. Bounds A random variable X, not necessarily non-negative, has ()=20E(X)=20 and ()=4SD(X)=4. In each part below find the best bounds you can based on

3. Bounds

A random variable X, not necessarily non-negative, has ()=20E(X)=20 and ()=4SD(X)=4. In each part below find the best bounds you can based on the information given.

a) Find upper and lower bounds for (0<<40)P(0

b) Find upper and lower bounds for (10<<40)P(10

c) Find an upper bound for (40)P(X40).

d) Find an upper bound for (2900)P(X2900).

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