1. Normal distribution

Hi,

Thanks, any help is appreciated

2. You have:

$
y=x+\eta_1
$

where: $\eta_1 \sim N(\mu_1,\sigma_1^2)$

Then $y$ has the same distribution as $\eta_1$ but with its mean increased by $x$.

CB

3. thank you, i was a bit confused with my answer but that backs up what i got