Suppose that Y,, . Y, are i.i.d. random variables with a N(uy, o) distribution. How would the probability density of Y change as the sample size n increases? Hint: Think about the law of large numbers. O A. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes less concentrated around uy. O B. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes less concentrated around uy. O C. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes highly concentrated around uy. O D. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes highly concentrated around uy.

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Suppose that Y. .., Y, are i.i.d. random variables with a N(uy, o) distribution. How would the probability density of Y change as the sample size n increases?
Hint: Think about the law of large numbers.
HY:
A. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes less concentrated around
B. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes less concentrated around uy.
O C. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes highly concentrated around uy.
O D. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes highly concentrated around uy.
Transcribed Image Text:Suppose that Y. .., Y, are i.i.d. random variables with a N(uy, o) distribution. How would the probability density of Y change as the sample size n increases? Hint: Think about the law of large numbers. HY: A. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes less concentrated around B. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes less concentrated around uy. O C. As the sample size increases, the variance of Y decreases. So, the distribution of Y becomes highly concentrated around uy. O D. As the sample size increases, the variance of Y increases. So, the distribution of Y becomes highly concentrated around uy.
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