I Let's just start this whole problem. Number 46 Um, there is a problem, and problem is talking about a cereal company serving cereal boxes with £6.63 off Cereals. X is a random variable off selected box for the normal distribution with mean 9.7 and the son of the vision on point or three. Why in the exist amount of cereal beyond what was under ties? So it's beyond 9.63 But it is Ingrams were one hours equal 28 1 35 grams. Find the mean and the Southern Division off. Why, this is the first which okay, so let's start to state our given. So our given here is that that you of X is equal to, uh, nine. Fine center. Okay. And the sender, baby, let's turn that TV Agent Wilbanks is equal to of excess equipped to point three. Okay, why is excess amount of seriously Okay, so let's start first buying. Converting between the arms grounds and the grapes. Okay, So first week and say that now we are trying to find the relationship between why and x so one is exist. Amount of cereal he owned the advertise. Okay, so why is sexist amount? Okay, so the amount which is under science, which is 9.63 hours, So nine point six three ounce. Okay, so wine Indian Graham. So I have to much blind it binds 20 eight point. Hurry. Fine. Okay, so they exist. Amount mean that I mean that. Ah. Why? Equal X Would you banked with actual amount minus. This is a standard. I'm not okay, but X is in bounds also. So I have to convert X two on grams. Okay, so I have to mark the blindness by 28.3 as well. It's so here. Um, Basil, I can Ah, right here. So it is. Why two? Why a quick 20 eight fine. 35 x minus nine point C. Three month blind. My 28 a 0.35 Okay, so this is can be written as 28. 28 point. Be fine. X minus. This value can be written is 200 73 point I mean one. See you. All right. And this in the relationship between why and X By recalling this property for the millions and the vision that you Il explodes, being equal a not blowing by mutant X plus B We can say that. And this is why. So this is a x loss? Be so from here, we can say that Mmm is equal 28.35 and B is equal to negative. 273.1. Well, fine. Okay, So we can't say that by substituting in this equation by knowing that. Mmm. Is April 20. Kate point Ah, 0.35. Okay. Like the blind bine you knew of X. And we know that new vex is nine points seven plus B. And we know that b is, uh they get there too. Seven three, find. Well, one. All right. So the final answer will be, um, as a final answer, there will be one point mine eight, and this is and by grams. Okay. This is, uh, this is you want and the same thing could be a blind tau sigma. The standard deviation of why, um, here We know that a is so sigma wrong. You cling to 28. Uh, point did he find Okay, what's the going by? C. Max. And we know that sig next is open to all three point. Look, three through the when the lungs here it would be Oh, point eight. Bye. Okay, So this is the Sigma Wind said that the vision or front of very boring. And this is the main for a random variable one. And this is the answer for question. A queen should be. Ah, quit. Should be here. He's asking abounds. Ah, the probability of getting Agnese Ah, three grams a more serious than advertise. Okay, so, uh, I will Ah, another tap. You and I will state here what we found previously that you want when and one point mine eight for fine and sigma. Why is equal to point eight? Fine. And now the question is we want to know the probability are forever Turn back to the question properly getting at least three grams more than on the under tight cereal. So we're we are searching for isn't And, uh, they're beakers and for equal we know that the cruisers for and the area under the normal distribution girl Ah, we can get the area under the curve for smaller than or equal. So here we can. What? He put it in another way we can say that is one minus. We were meeting you off. Is it smaller than three? Because using the tables for the normal distribution if we have this is a normal distribution and at any value, let's say here, um that the tables we have for the normal distribution area, we can get the area under the care for ah, is that it's more than or equal is very And we can't and get ah, the idiot s. So we can, um, for a paramedic event bigger than or equal to three. So this is three value s. So we need to to, uh, we need to know on the area under the curve for then bigger than or equal three. So it is the blue area and so we can get the eight. Why? And saying that he's one minus probability. Aw, present minor three. And we can get this area from in the deep. It's okay, their peoples. But first, first, let's start to on define or campaign event, and we know that isn't very is equal to X, which is actually venues. It is a center of guy exes. Ex one very minus view. Well, we're signal. Okay. Um Okay. So we know that thanks comes. Admission is free, Sigma is one point eight and Sigma Mu is 1.98 And seek made a point. It's fire. So we know that isn't Here's its value is one point when nine. Least me. That's here. Probability offsets bigger than three. It's not three. It's bigger than because we know that the tables is dealing with standardized. But, you know, the actual back actual value is strained, but that is sorry about that. Um, is one we're point one knowing, And also this is what right? What going? One night. And this is 1.1. You think the tables we can? No, this Ah, this green area under the curve were Is it smaller than your equal? 1.1 night and from the tables this area is equal to, um yeah, he's even to, um oh, point eight. Hey, eight. Hey, three. Okay, so here, one minus. These value we can Hey, Matt is equal to point Blend one. And this is the fine and answer for the probability that X is bigger than worry. Quinn. Three were That is bigger than a frequent one point one night. Thank you.