Shady778
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Any help for Q !,2 would be appreciated
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atsruser
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(Original post by Shady778)
Any help for Q !,2 would be appreciated
I haven't worked these through, but a couple of points:

1. X_n \sim N(\mu,\sigma) \Rightarrow X=\frac{1}{144}(X_1 + \cdots + X_{144}) \sim N(\mu, \frac{\sigma^2}{144}) by the Central Limit Theorem and expectation algebra.

2. X \sim N(0,1) \Rightarrow X^2 \sim \chi_1^2 so adapt this for X \sim N(0,3) then use the Central Limit Theorem.
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Shady778
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(Original post by atsruser)
I haven't worked these through, but a couple of points:

1. X_n \sim N(\mu,\sigma) \Rightarrow X=\frac{1}{144}(X_1 + \cdots + X_{144}) \sim N(\mu, \frac{\sigma^2}{144}) by the Central Limit Theorem and expectation algebra.

2. X \sim N(0,1) \Rightarrow X^2 \sim \chi_1^2 so adapt this for X \sim N(0,3) then use the Central Limit Theorem.
thanks for the points but i'm still clueless
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atsruser
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(Original post by Shady778)
thanks for the points but i'm still clueless
Could you expand on the precise extent of your cluelessness? What didn't you follow?
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