1. Give a possible sample of size 4 from each of the following populations:

2. In 1882, Michelson and New comb measured the traveling time of light going from and to their lab through a mirror. Their first measurements were: 28, 26, 33, 24, 34, -44, 27, 16, 40, -2, 29, 24, 21,25 (*0.001+ 24.8 in millionths of a second). Why are these measurements not identical? How do we model this variability in statistics? 3. Are the following statistical models identifiable \cdot\left((\mathcal{X}=\mathbf{R}, B(\mathbf{R}))_{2}\left\{N\left(\mu+a_{2} \sigma^{2}\right)_{2}\left(\mu_{2} a_{1} \sigma\right) \in \mathbf{R} \times \mathbf{R} \times \mathbf{R}_{+}\right\}\right)_{2} \text { - }\left((\mathcal{X}=\mathbf{R}, B(\mathbf{R}))_{2}\left\{\mathcal{N}\left(\mu_{1} \sigma^{2}\right),\left(\mu_{2} \sigma\right) \in \mathbf{R} \times \mathbf{R}_{+}\right\}\right) \text { - }\left((\mathcal{X}=\mathbf{R}, B(\mathbf{R})),\left\{\mathcal{N}\left(\mu_{2} \sigma^{2}\right)_{2}\left(\mu_{2} \sigma\right) \in \mathbf{R} \times \mathbf{R}\right\}\right) ?