All right. So you have this probably distribution country you can buy at the Becks is X to the negative, one third over six from your eight. And we want to do a few things that first we want to find the average, which will calm you. I'm just going to be the integral from zero to eight of X times distribution function, a children's. This's going to be X to the two thirds over six. All right, And so what we get, we get policy. So we add So that's going to be five thirds of three fifths. Divided by six is going to be wanted. And then we have eight to the five shirts, which is going to p thirty two thirty to ten. Sixteen over thighs. Twitch is three months already. The next we want to find them. Variants to the variance is the same integral. Under seizing B for variance. That's extreme people times distribution function minus the average queen. You square. So this is here to hate. This is going to be X to the five thirds six minus near which wass I'LL see sixteen over five squared. All right, so this is going to be now seven errands. Those are painters, X t eight thirds diarrhea from zero to eight. And then we have a one six. We're going tow. Multiply by their cyclical three eights. So that's going to give us one over sixteen. Front minus sixteen. Five squared. All right, now. Okay. So we need to evaluate, huh? Eight to the third since too naive, which is to pity. Six. So this is two fifty six over sixteen. That's sixteen minus sixteen squared. That's it. Oberg twenty five, sixteen squares to fifty six on, then This is about actually, it's exactly equal to you. Yeah, five point seven six. Right now, the standard deviation. It's just the square root of the variance Sigma square root of the variance, which in this case is just two point four and for being says, find the probability that the variable given by this distribution function it was bigger than you. So this is going to be the integral from new all the way up to eight of X to the minus one third over six necks. Remember that mu is three point two. And if you compute the center girl, you get about zero point four by seven one Um, this is di Sorry D and then for E We want the probability that excess within one standard deviation so mu minus sigma Hand me a plus England. So just take away an ad one standard deviation from the average. This is going to be the integral from you, my Sigma Tim, you plus sigma uh, next to the minus one third over six d x. And when you compute the center girl, take just anti derivative here Evaluated these two numbers you get approximately zero point five seven to nine.