A. Suppose Xn, n = 1, 2, 3, . . . is a sequence of random variables that converges in probability to a. Suppose, Yn, n = 1, 2, 3, . . . that converges in probability to b. Use the theorems in your text regarding convergence in probability to show (4Xn ^2 - 7Yn ^3)/Xn converges in probability to (4a ^2 - 7b^2)/a B. Give an example of two common statistics we have worked with through this semester that converge in probability to a well known population parameter.

Q: Find the converges or diverges.

A: Here I attached the detailed explanation to the questionExplanation:Solution:

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