Question: Given that \(\mathbf{X}\) is normal with,

1. \(\mu=4, \sigma=2\), find \(\mathrm{P}(\mathrm{X}<2)\)
2. \(\mu=250, \sigma=15\), find \(\mathrm{P}(\mathrm{X}>300)\)
3. \(\mu=-2, \sigma=2\), find \(\mathrm{P}(\mathrm{X}<-6)\)
4. \(\mu=10, \sigma=4\), find \(\mathrm{P}(8<\mathrm{X}<13)\)
5. \(\sigma=1, \quad P(X>0)=0.9772\), find \(\mu\).

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