Question: Let denote a random variable with mean and variance /, where >0, , and are constants (not functions of ). Prove that converges in probability

Let denote a random variable with mean and variance /, where >0, , and are constants (not functions of ). Prove that converges in probability to . Hint: Use Chebyshev's inequality.

4. Let W; denote a random variable with mean p. and variance bfnp, where p :=~ I3, Ill, and b are constants (not functions of n). Prove that W\" converges in probability to pl. Hint: Use Chebyshev's inequality

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