Oh, oh-oh Woah, oh-oh

[Verse 1]
You decide
Chardonnay or the Hennessy
Let the time slip again
It be every night
Girl, you better give it to me
Oh yeah

[Pre-Chorus]
You can take it slow, show me what I'm working with
I'ma make you drown right before I put it in
Screaming, "Right now," but you ain't seen nothin'
You want it bad, don't get on it, yeah, I gotta focus
Go
When I say so
Foreplay ain't wrong
Before we make love
Now I'ma beat it up

[Chorus]
For a hundred rounds, hundred rounds, grind on me
Turn around, turn around, slide on me
I'll take you down, you gon' feel a high with me
For a hundred rounds, hundred rounds, rockin' you to sleep
wat u guys think

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.