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Aparticular fruit's weights are normally distributed with mean of 786 grams and standard deviation of 16 grams_Ifyou pick 11 fruit at random, what is the proba...

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Aparticular fruit's weights are normally distributed with mean of 786 grams and standard deviation of 16 grams_Ifyou pick 11 fruit at random, what is the probability that their mean weight will be between 775 grams and 800 grams_Round to decimal places_Question Help: 0 Post to forumSubmit QuestionJump to Answer

Aparticular fruit's weights are normally distributed with mean of 786 grams and standard deviation of 16 grams_ Ifyou pick 11 fruit at random, what is the probability that their mean weight will be between 775 grams and 800 grams_ Round to decimal places_ Question Help: 0 Post to forum Submit Question Jump to Answer



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The weight of a small candy is normally distributed with a mean of 0.1 ounce and a standard deviation of 0.01 ounce. Suppose that 16 candies are placed in a package and that the weights are independent. a. What are the mean and variance of the package's net weight? b. What is the probability that the net weight of a package is less than 1.6 ounces? c. What value will the mean weight exceed with probability $0.99 ?$

Yeah. The weight of a jam as normal distributed with Main 16 and standard division point to to compute these probabilities. We can transform the normal distribution into a standard normal distribution. That is. We subtract the main and then divided by the standard deviation. So this probability he calls this probability. Since it is a standard normal distribution, we can use a table in appendix C. You know from that table, we know there are this probability, yes. 0.30 85 for part B is similar. This is a probability of standards normal distribution from the table in appendix C. This probability is point 15 87

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.

46. Um um A We know that the meaning of act is a call to 9.7 and some division waxes open toe three. We know that one ounce is equal to 28.35 grams. So the did, um, new variable is aware that conversion between there is equal to 28.35 perhaps Roy, it's excess amount of Syrian Ingrams, and thus we need to decrease that by 9.63 ounce off Syrian. So why would be equal to 28.35 x minus 28.35 watt turbine by 9.63? So this is the relation between Y and and X. If we need to, um can create the meaning. Why so is equal to the mean off 28.35 x minus 20 at minus 273 which is corresponding to 28.35 months of lying by the mean of X urges and my 0.7 a minus at the same 3.145 eso the final answer or the mean value who I will be one point and 9845 center division of wine is equal to 28. Once we find out the blind by the sun that the feeling of acts which is opened or or three this is, um, the answer for, um eight for B question for being question, we need to calculate the probability that that is bigger than we're equal three, which is corresponding to ah, the probability one minus the probability off that is smaller than that. It's smaller than three. As we know the tables for the normal distribution gives the curves for the probability that, yeah, the X or event is smaller than or equal now, bigger than so we right? Ah, that bigger than or equal three in another form one minus B that smaller than three and this, then you can we can get it from the tables. Also, we know that the tables is using instant standardized value. So we have toe, I calculate the small, which is the valiant ST minus the mean James 1.9 it for fine over the standard deviation. Um, which is Ah, opening 850 right. So it is this morning is 1.19 By using the eagles ah, force. It is equal to 1.19 We get that. The probability is ah all point 117 So here we know that this probability one minus four point when 17 so refined that answer would be, Ah, spirit story This from the table. We get this open 883 as you. So here is a reach for the phone. Answer would be open. One one wants it.


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