Let Z have a standard normal distribution and define a new rv Y by Y Z Show that Y has a normal distribution with parameters and Y y iff Z Use this to find the cdf of Y and then differentiate it with respect to y ...

Let Z have a standard normal distribution and define a new rv Y by Y = Z

Question:

Let Z have a standard normal distribution and define a new rv Y by Y = σZ + µ. Show that Y has a normal distribution with parameters μ and σ. Y ≤ y iff Z ≤? Use this to find the cdf of Y and then differentiate it with respect to y.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...