Let X be an exponential(l) random variable, and define Y to be the integer part of X 1, that is Y i 1 if and only if i X i 1, i 0, 1, 2, (a) Find the distribution of Y What well known distribution does Y have (b) Find the conditional distribution of X 4 given Y 5 ...

a PY i 1 i1 i e x dx e i 1 e 1 which is ...

Let X be an exponential(l) random variable, and define Y to be the integer part of X

Question:

Let X be an exponential(l) random variable, and define Y to be the integer part of X + 1, that is
Y = i + 1 if and only if i < X < i + 1, i = 0, 1, 2,
(a) Find the of Y. What well-known does Y have?
(b) Find the conditional of X - 4 given Y > 5.
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...