Suppose that U and V are independent random variables, and that each has the standard normal distribution Show that U V, U V , and U V each has the t distribution with one degree of freedom ...

It is known from Exercise 18 of Sec 56 that UV has a Cauchy distribution which ...

Suppose that U and V are independent random variables, and that each has the standard normal distribution.

Question:

Suppose that U and V are independent random variables, and that each has the standard normal Show that U/V, U/|V |, and |U|/V each has the t with one degree of freedom.
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...