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$P(\frac{4-10}{6} \lt \frac{X-10}{6} \lt \frac{16-10}{6})$

$P(-1 \lt Z \lt 1)$

$(1-\Phi O) - \Phi 0)$

$((\Phi 0)-\Phi 0)$

0,

This can't be correct. I am not sure where I went wrong. This is my first time handling normal random variables.

1 Answers 1

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Your first two steps are good. To compute $$\mathbb{P}(-1

Alternatively, we could note that by symmetry $$\Phi(-1) = 1-\Phi(1),$$ hence $$\mathbb{P}(-1