Suppose X is a random variable with mean mu. Suppose we observe X many times and

Question

Suppose X is a random variable with mean mu. Suppose we observe X many times and keep track of the average of the observed values. The law of large numbers says that The value of p will get larger and larger as we observe X. As we observe X more and more, this average and the value of p will get larger and larger. This average will get closer and closer to p as we observe X more and more often. As we observe X more and more, this average will get to be a larger and larger multiple of mu. None of the above

Explanation / Answer

Weak law of large numbe says that " with the probability approaching unity or certainty as near as we please, we may expect that the arithmetic mean of values actually assumed by n random variables will differ from the arithmrtic mean of their expectations by less than any given number, however small, provided the number of variables can be taken sufficiently large".

From the above statement we conclde that

Option:B

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