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Do Homncwort Koby Ashmore- Microsoft Edgehttps: [ mathxl conStudent/PlayerHomeworkaspxzhomeworkid 5409239008questionld-ABfiushed-falseRcld-56553698centerwn-yes 2019...

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Do Homncwort Koby Ashmore- Microsoft Edgehttps: [ mathxl conStudent/PlayerHomeworkaspxzhomeworkid 5409239008questionld-ABfiushed-falseRcld-56553698centerwn-yes 2019 Fall MATH 1530 Intro Statistics TBritt S0wHomework: S4 Section 7.2 Homework Score: 0 of 1 pt *5.3.33-Tof 21 (17 complete)Suppose normally distributed random varable with p = 38 and 6 = Find Valle 70 Ol Ihe random varable that catisiies Ihe followang equations statemenls: 1096 of the values of x are less than *o; 80% of the values Of

Do Homncwort Koby Ashmore- Microsoft Edge https: [ mathxl conStudent/PlayerHomeworkaspxzhomeworkid 5409239008questionld-ABfiushed-falseRcld-56553698centerwn-yes 2019 Fall MATH 1530 Intro Statistics TBritt S0w Homework: S4 Section 7.2 Homework Score: 0 of 1 pt *5.3.33-T of 21 (17 complete) Suppose normally distributed random varable with p = 38 and 6 = Find Valle 70 Ol Ihe random varable that catisiies Ihe followang equations statemenls: 1096 of the values of x are less than *o; 80% of the values Of x are less than *0 19 of the values of x are greater than Xo (Round to two decumal places needed / cur srisv er in the answer box and then click Check Answer: fcre n



Answers

Exercises 39 and 40 refer to the following setting. Ms. Hall gave her class a 10 -question multiple-choice quiz. Let $X=$ the number of questions that a randomly selected student in the class answered correctly. The computer output below gives information about the probability distribution of $X .$ To determine each student's grade on the quiz (out of $100 ),$ Ms. Hall will multiply his or her number of correct answers by $10 .$ Let $G=$ the grade of a randomly chosen student in the class.

N Mean Median StDev Min Max Q1 Q3
30 7.6 8.5 1.32 4 10 8 9

Easy quiz
(a) Find the median of G. Show your method.
(b) Find the $I Q R$ of $G$ . Show your method.
(c) What shape would the probability distribution of G have? Justify your answer.

Been 14 here. We know that. Ah, the median The median of X is equal to 88.5 n g is equal to tell me 10 x So the media and the median off, um as we know that the 1,000,000 of a X A plus B is equal to a I'm not running by the median off X plus B s o ah remediate of ah g is equal to 10 not going The boy, the median people of X So just then we're going by it for crimes. So it is different toe 85 and this is answer for 40 48 for 44 40 bean um and the inter quartile range is a difference between the third and the first a court time. So the inter choir time a range of X is equal took you three minus Q one eso is equal to mine. My minus h is equal to one and edgy is equipped with 10 x where you know that like you are ah g z is equal to like you are our X welcome blamed by boy tends always thin The blame by once was the final answer will be will be there. Ah, for 40 c, we're 40 c o as we know that the immediate the mean the mean G is equal to 76. And the median a ah gene is equal to 85 and the I Q R or the Inter Quint kind. Uh oh. He is equal to 10. We know that the mean is lived in the media. This indicates that the distribution is left skewed, since the mean is influencing by the hour fire, which have to be very small because the mean is live in the medians. That's why we say that it is lift Ah s que And this is answer for 40 if he

I problem Number 39 thing that Mrs Whole give her class at in question Multiple choice quiz exes. A number off the corrected answered. Ah, quick shins by the students, which is random variable A randomly selected Ah, the computer out but below with the information for the probability distribution of backs. So here ah, we can see that the mean median standard deviation Minutemen maximum off extra and invaluable. Also, the grade for each incidents will be 10 times the number off the corrected, um questions or the correct answers. So the G in the grave off the randomly chosen students in the class and these are the distribution barometers for probability off distributional wax. So the question here KitchenAid asking about find the mean for for G So if we know that if we know that ah g is equal to 10 multiplying by ex because G is a grade for the citizens and X is the number on the corrected around invariable So by knowing that immune off acts so the mean off X is equal to 77.6. So we can say that the mean off G is equal. 10 time Ramin of acts so we can see that the mean G is equal to 10. Time 7.6 was equal to 76. And this is the new off G or the means for the random variable g. Also, we can't say the same things too. The Sigma standard deviation. So here we can say the fame G is equal school 10 times eggs and we, uh, can see that standard deviation Ah g is equal to 10 times Ah, Sunday division off X. So here we can say that sunder deviation off G is equal Can crimes paternal division of acts years on the division of X is equal to eight Sorry, 1.32 So it is 1.32 So the final answer with me 13 a point too. So by this way we can find the sender deviation off Jean and the mean and I mean ah, the mean value for gerund invariable. So this is ah which and aim. And this is question being hear questions he is asking about how do the variance off X and the variance or G compared. And this is the main Ah, the man I think by bike by by thinking that standard deviation off G quill pen multiplying by standard deviation off Thanks. We can also see that standard deviation equal. It's were ruled off Rivere Ian's. So from this equation, if we, um, squared the both sides, we can reach that bad Ian's or G. It's equal to 10 aah over to because we square the both sides But Brian, by variants of X So we can say that radiance off G is equal to 100 variance. Um, of X. Thank you.

Problem Number 39. You know that me and my ex is equal to 7 26 Is it going to 7.6? Ah, and also there. And this is a whole and not a blind. The number off Correct. Answer X by 10 So B is equal to 10 x. We need toe complete, mean off G So is able to me and all that and acts eso is equal to 10 month online by mean ah rex which is with 10 multiplying boy 7 46 So financing will be Ah 76 Ah, 39 b. This is under for a for me. We need to complete the standard deviation Ah a d which is the standard deviation Ah, 10 of 10 x so is equal to 10 with the blind by center division on X which is a 1.32 from the me So 13 point a pointed toe eso from the given standard deviation Ah Rex is equal to 1.32 is from beginning with this 39 a so 39 seeing me Ah see? Ah here. We know that we know and that, um, some Derby the Asian Oh, a X plus B is equal to e a multi 1,000,000 biased under a deviation of of ex, as we need here. And also we know that the very ins um ah, Bavarians ah is a sunbird evasion Ah square. So we can say that variants o d is equal to a squared looking, blowing boy Variance off X Ah, as we know here is canceled in secret to 10 square. Among the growing boy variants off X is equal to Hungary It Brian Boy various max was a very energy is 100 times the variance off over X and this is answer for 39 c.

Okay, so this one says the circle graphs above show the distribution of students at two universities based on how much time, on average and minutes they studied each day. If one student has chosen at random from all the students at universities A and B, what is the probability to the nearest ten thousands that he or she studies, on average at least three hours per day? Okay, so if we want to know for both universities A and B and we have to combine them, we have to do the total students of A and B. That's what we're pulling out of, which is going to be the fifteen thousand from a and then plus a twenty five thousand from B, which should give us something over already thousand and then on top. It should be the one hundred eighty plus minutes of a plus. The students that study one hundred eighty plus minutes from B. So, in order to get the number of students that study one hundred eighty plus minutes from A, we know that out of the fifteen thousand students policy on ly ten percent study more than one hundred and eighty minutes. So then we can multiply fifteen thousand by point one on which got one thousand five hundred students. We're gonna put that here and done for us. University, be out of the twenty five thousand students. We know that the number of people that students that studied ah, hundred and eighty minutes or more is just eight percent, which is point oh eight. So if we do that, it should be two thousand students. So then we can add two thousand students here. So then, if we did the two thousand students plus the one thousand five hundred students, that gives us three thousand five hundred and then from here we just have to divide the three thousand five hundred students by the forty thousand total students and that should give us zero point zero eight seven five.


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