Exercise 2. Suppose that X - x² (5). Suppose that X process is repeated a trillion times and the X values are recorded.

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Exercise 2. Suppose that X - x² (5). Suppose that X process is repeated a trillion times and the X
values are recorded.
(a) What is the sample mean of the trillion X values [essentially]?
(b) What is the sample standard deviation of the trillion X values [essentially]?
(c) What proportion of the trillion X values will be less than 6.5 [essentially]?
Hint: By the Law of Large Numbers (LLN), this proportion will [essentially] equal P(X < 6.5).
Use a x? probability calculator.
Transcribed Image Text:Exercise 2. Suppose that X - x² (5). Suppose that X process is repeated a trillion times and the X values are recorded. (a) What is the sample mean of the trillion X values [essentially]? (b) What is the sample standard deviation of the trillion X values [essentially]? (c) What proportion of the trillion X values will be less than 6.5 [essentially]? Hint: By the Law of Large Numbers (LLN), this proportion will [essentially] equal P(X < 6.5). Use a x? probability calculator.
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