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Microsoft was never a penny stock. It IPO'ed March 13th 1986 for 21$ a share, but like a lot of IPO's opened higher at $25.50.
http://finance.yahoo.com/q/hp?s=MSFT&d=2&e=7&f=2007&g=d&a=2&b=13&c=1986&....
That fallacy comes from not being able to read a split adjusted chart. Had MSFT never split, current price would be 8K a share. It's market cap on IPO (by Goldman Sachs, btw) was over 770 million, it had over 170 million in revenue annually, 57 million in profit and 11 years of profitability hardly making it comparable to pinky microcaps.
The world needs hall monitors too. If I ever want to kill myself and lack the guts, I can pull up a few thousand of those estimating the 10 millionth grub posts.
duplicate.
Congratulations Clayton!!!
Oh, right, of course he doesn't. :)
I think it is similar. The main objective is to drink after the game.
Well, it could have been rugby...
Right, lacrosse was your son's sport.
Right. I remember now. Well, it could be.
Is he playing lacrosse? (Did I get the sport right?)
What a luxury that is for them! I understand the empty wallet syndrome. Do you get them back there for thanksgiving?
Doing ok. How are the kids and the college quest?
:) Sure, I can try to help if you can pass along a problem via ihub too. This isn't easy stuff. What is he majoring in to have to take this class?
Hey, ergo. I couldn't resist. :)
What's with all that TOU refresher crap?
The solution to the game is (23/40).
E(R) = expected value of run = .5p + .8(1 - p) = -.3p + .8
E(P) = expected value of pass = .5p + .2
Set E(P) = E(R)
and you have
-.3p + .8 = .5p + .2
.8p = .6
p = 3/4
E(P) = E(R) = 23/40 if you use either equation.
Note p is a probability you are solving for (what probability the defense should call a run) while capital P stands for PASS. The two p's have nothing to do with each other. Just an unfortunate aspect of probability theory and a problem with the word PASS in it.
What does this mean? The offense, which calls the play, should randomly select run 3 times out of 4, and pass 1 times out of 4.
Solving for q, what probability the defense should play run looks like this.
E(R) = .5q +.7(1 - q)
E(p) = .8q + .2(1 -q)
E(R) = E(P)
.5q +.7(1 - q) = .8q +.2(1 - q)
-.2q +.7 = .6q +.2
.5 = .8q
q = 5/8
So the defense should play run 5/8 of the time. E(P) = E(R) = 23/40 again, of course.
This is assuming both coaches understand game theory. :) Not surprising that on third and short, with both teams deploying optimum strategies, the offense converts 57.5% and defense stops 42.5%.
So, do I have your undying love? Oh, the answer is 23/40, in case it got lost in all the proof of work.
Guy was a gamer though.
More than David Wells?
Oh come on. You used to say Damon was ugly.
Ortiz is God.
Weird message.
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Either BOF or EOF is True, or the current record has been deleted. Requested operation requires a current record.
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Bye Susie.
Whoops. From now on, I mean.
She had legs in the shower.
I am appalled. In fact, I will never post again until Soxfan has seen Fever Pitch.
Fred, the story was ridiculous.
He saw Splash.
Nope, no nudity even. She wore clothes. Even in the shower.
She is cute!
Susie!!
I have seen driven snow. It is kind of yucky.
Things don't change much in some places in 700 years.
And his heart is pure.
Of course not. He is from Boston.
Huge open vats of rotting shrimp, or something like that.
Thanks for the welcome. No, I never did. I guess I should.
I read something a long time ago, that Tyre had the secret of purple dye.
Forgive my ignorance, but is Tyre in Lebanon? I know it was part of Phonecia, 2000 years ago. I think.
That was funny!
He is as sharp as a bag full of wet dead mice, you have to admit.