5

5.3 ((Rounar Find Score: 1 19 IM E decimal that view probability Ihat * is plases the X than table H less obseivations needed | than 36 . 1 and drawn 1 from populat...

Question

5.3 ((Rounar Find Score: 1 19 IM E decimal that view probability Ihat * is plases the X than table H less obseivations needed | than 36 . 1 and drawn 1 from population with mean of 6 (4 complete) equal t0 48 and a standard deviation equal t0 244 1 3 1 and then click Check Answer

5.3 ((Rounar Find Score: 1 19 IM E decimal that view probability Ihat * is plases the X than table H less obseivations needed | than 36 . 1 and drawn 1 from population with mean of 6 (4 complete) equal t0 48 and a standard deviation equal t0 24 4 1 3 1 and then click Check Answer



Answers

Find $\mathrm{E}(X), \operatorname{Var}(X),$ and the standard deviation of $X,$ where $X$ is the random variable whose probability table is given in Table 5.
$$\begin{array}{llll} \text {Table 5} \\ \hline \text { Outcome } & 1 & 2 & 3 \\\text { Probability } & \frac{4}{9} & \frac{4}{9} & \frac{1}{9} \\\hline\end{array}$$

For this problem, we're trying to find the standard deviation and this is denoted by the variance of a random variable, and that is denoted by a large X. So the variance is what we need to find first, and the variance X is equal to that little symbol right there. And so what it is, is it e g of x squared minus and brackets mm of g uh squared won't let me do it. So you may be wondering what's the difference is? It's just the same thing. Won't just cancel out, but no, because what's happening is, is in the second problem, you're squaring the whole function versus the first problem, You're squaring internally in G of X. So we start with finding you of G of X and you is the mean, um use equal to e g, f X. And we're going to neglect this sign right there. Starting out and what this is equal to is the summation of gm X. Times ffx were given some variable. Yeah, we're gonna get some variables in its X and what X turns into when it goes into ffx. That's all the table is. If you're always wondering what it means in technical terms, it's when I have a variable that it's marked this given energy. When it goes into a function, it turns into some output, which is the number. So I'll show you what I mean when negative three goes into such a variable. That's ffx. The variable turns into 1 6 when X Equal, six, equals one half. So excesses variable That is put into a function and then we have the last nine and we eat 1/3. So what we're gonna do is we're going to implement what we have and we have a chest X. And that's gonna be our G of X. So what it looks like is this we have three and then we'll have a negative three inside plus one squared times Our function which is 16. And this is easier than what we usually have to deal with. Which is a function that is just an outbreak expression. And we're going to keep going. We're going to Put six in the year because that's X. At a given point then we're kind of bleeding into that but it's okay. And so when we worked that out and don't forget pimped us figure out what's in here first it is really easy to do this in your head three times negative three is nine plus one is negative eight squared. And then you'll just do that from there says -64 times 16 And you know but you don't you want to use a calculator where you can but condense your problems. The more loose images you have kind of hanging around the more area you have the room for you. And so what you're left with, what your answer is is 270728 .25 or half. And don't worry about that half. It's gonna all work out in the wash. And like I said, we're going to neglect the squared you can do this and put it up there, but it doesn't even matter. So next we're trying to find the first part of variance which is E of G of X, squared. What this looks like is is we have a summation of X. And when G f x is squared, we're going to times it by ffx and we're using a summation versus the integral will usually use the integral, but we have different, we have different variables um for this function F. X. So we're using the summation and we're not integrated. You're doing anti drip. So that's different. So we're gonna just kind of work this out. We're going to do everything we did here. We're going to cut out the two and out of four. So let's see how that goes. We have tree times negative three plus one squared cubed to the 4th. I'm sorry, point times 16 plus three Times 6-plus 1 To the 4th. Time's a half. Close three Times nine Plus 1. The 4th Times 1 3rd. And the answer you're left with is bigger. You know that you're right. If you're if you have X squared is bigger, that's how you know that you're onto something and I'll tell you why in a second. But I'm sorry this Was the answer to this. This was 270,700 and 28.5. I'm sorry, I was looking at my notes, this is 400 and 52 minutes, So I'm sorry if you, for the last 30 seconds have been freaking out. And so, and the only reason why I caught my mistake is because I was going to actually tell you a hint if you know that your G of X squared, it has, and I would write this down somewhere, it has to be bigger than just your E to the G to the X. And the reason why is because in probability you have X. Um and there's something called the normalization Exxon, which means that your probability has to be equal to one and it has to be greater than zero, which means that it has to exist when and so if that statement didn't pan out, that that means that it doesn't exist. So you can have a standard deviation for it. So now that we have these two answers, we can work out our variants. So are variants. Formula is E two, G x squared minus in brackets. E two, G two X squared. So what it is is it's too 170728 and a half-. and a half. Now, we'll bring back that squared. And what you have, Once you kind of do the math for that is this 600 66,000 243 .66. And we're almost done. We now need to work out the standard deviation, that's what we came here for, that is the square root of the variance. So what we do is is we're just gonna square root this, and our final answer for this problem Is going to be 200 And 56.85

In order to this problem you're in need a calculator that has the normal CDF function available on it Probably need to be a graphing calculator, but there are calculators online available. If you just go to Google and type in online calculator with normal CDF, it will more than likely bring up something that you can use on their. Okay, really, once you find a character that has a normal CDF function, as long as you make sure that you plug the information incorrectly, you're gonna have all the work taking care of for you. The four pieces of information you need are the ones ever in here. You need a low, you need a high, you know, mean and you need a standard deviation. So in this case, we're told to mean is 50. We're told the standard deviation is 2.5, and we are asked to find a probability when X is between 44 50 meaning 44 would be the low and 50 would be the high. Okay, So if you plug elit into your calculator correctly, that's really what this questions testing overall is. Can you plug it in correctly? You should get 0.4918 for your probability were asked around to the nearest 100th. So in this case, we'd be rounding down. It would just stay as 0.49 As long as you get that idea calculator, then you've plugged in correctly and you have nothing more do or all the

In order to this problem you're in need a calculator that has the normal CDF function available on it Probably need to be a graphing calculator, but there are calculators online available. If you just go to Google and type in online calculator with normal CDF, it will more than likely bring up something that you can use on their. Okay, really, once you find a character that has a normal CDF function, as long as you make sure that you plug the information incorrectly, you're gonna have all the work taking care of for you. The four pieces of information you need are the ones ever in here. You need a low, you need a high, you know, mean and you need a standard deviation. So in this case, we're told to mean is 50. We're told the standard deviation is 2.5, and we are asked to find a probability when X is between 44 50 meaning 44 would be the low and 50 would be the high. Okay, So if you plug elit into your calculator correctly, that's really what this questions testing overall is. Can you plug it in correctly? You should get 0.4918 for your probability were asked around to the nearest 100th. So in this case, we'd be rounding down. It would just stay as 0.49 As long as you get that idea calculator, then you've plugged in correctly and you have nothing more do or all the

Yeah. First we use this table to compute the probability here in equals 20 LMP equals 200.5. I know that this table shows you the communicated probability. So for example, we want to compute P 10. This is just this number miners this number and in a similar way we can compute all the other probabilities. And then they draw the his program. Using these probabilities. Note that his program is symmetric, so, for example, Pay nine equals P 11 mp eight. He calls P 12, P. Seven. He closed the searching and, et cetera.


Similar Solved Questions

5 answers
PrumsCalendarGradebooksessmentSolve the following equation completely2 +31? +r+3 = 0Tbe real solution IS Iand the imaginary solutions arePoints possible: This i5 attempt of1Submil
prums Calendar Gradebook sessment Solve the following equation completely 2 +31? +r+3 = 0 Tbe real solution IS I and the imaginary solutions are Points possible: This i5 attempt of1 Submil...
5 answers
Dx _ 7 arcsin x
dx _ 7 arcsin x...
5 answers
Question 7# For Lho graph X a right; the graph %imple? Juxtily your #nwCrLhc walk ABDFBpath"clexiccly(iii) simnple?Justily Voult FhnilEmSpueily simple circuits lcngthsHa(otc ol euch):Length 5Length 6:Length 7:Do# X have a Euler circuit? Il #, specily One; il not , Say why Iot ,Dos X HuHamilton circuit? 50 , spcily one; il nol , Say why nol,
Question 7# For Lho graph X a right; the graph %imple? Juxtily your #nwCr Lhc walk ABDFB path" clexiccly (iii) simnple? Justily Voult FhnilEm Spueily simple circuits lcngths Ha (otc ol euch): Length 5 Length 6: Length 7: Do# X have a Euler circuit? Il #, specily One; il not , Say why Iot , Do...
5 answers
[sk)e=; wbat i8 K t)an The grnph of a function f(T) ehoxte belv: f(A) #(B) -#(C) 13(D) -(E) -curve defined by the equation 2? + % = Bry? + 11 Find the slope of the tangent line thic curve : tbe point (~2,1).(@) m= # () m= #(B) m=-m =7m =I1
[sk)e=; wbat i8 K t)an The grnph of a function f(T) ehoxte belv: f (A) # (B) -# (C) 13 (D) - (E) - curve defined by the equation 2? + % = Bry? + 11 Find the slope of the tangent line thic curve : tbe point (~2,1). (@) m= # () m= # (B) m=- m =7 m =I1...
5 answers
Placed at rest in the region between two Infinite sheets of equal charge density 0 ds shown the figure- If the proton proton Is allowed to move, along which dlrection it would go?
placed at rest in the region between two Infinite sheets of equal charge density 0 ds shown the figure- If the proton proton Is allowed to move, along which dlrection it would go?...
3 answers
Solve the initial value problem within the interval [1, 1.5] by using Euler method with Ax-0.1 steps (use & precision of at least 10 ` in the calculations).y" + Yty=0; y(1) 0.77; y' (1) = -0.44
Solve the initial value problem within the interval [1, 1.5] by using Euler method with Ax-0.1 steps (use & precision of at least 10 ` in the calculations). y" + Yty=0; y(1) 0.77; y' (1) = -0.44...
1 answers
Suppose that tree has [00 leaves _ 20 nodes of degree 6, and that half the remaining nodes are of degree 2 and the rest of degree 4. Find the number of nodes of degree (b) Prove that it is impossible to create tree as specified in part (a), except that the number of leaves must be at most 79_
Suppose that tree has [00 leaves _ 20 nodes of degree 6, and that half the remaining nodes are of degree 2 and the rest of degree 4. Find the number of nodes of degree (b) Prove that it is impossible to create tree as specified in part (a), except that the number of leaves must be at most 79_...
5 answers
Given that 2r + 1 = sin 0_Test the symmetries of the above equation_marks|(b) Constnuct table for (r. 0) where 0" < 0 < 2r with increment of and sketch the graph of 2r + sin 0 (Use the polar grid provided) marks]Sketch the graph +cos 0 = 0 on the same diagrammarks]Find the intersection points between the curves 2r + 1 T _ cos &sin 0 andmarks]
Given that 2r + 1 = sin 0_ Test the symmetries of the above equation_ marks| (b) Constnuct table for (r. 0) where 0" < 0 < 2r with increment of and sketch the graph of 2r + sin 0 (Use the polar grid provided) marks] Sketch the graph +cos 0 = 0 on the same diagram marks] Find the intersect...
4 answers
A nanopeptide contains ........ peptide linkages.(a) 10(b) 8(c) 9(d) 18
A nanopeptide contains ........ peptide linkages. (a) 10 (b) 8 (c) 9 (d) 18...
5 answers
Some of the orbitals below for Nz possess nodal plane that contains both nuclei Which of the following orbitals do not possess such a plane? You may choose more than one answer.0 n*20Tzp"0"20Which of the following orbitals In Fz do not possess nodal plane? You may choose more than one response0*20 njpneip
Some of the orbitals below for Nz possess nodal plane that contains both nuclei Which of the following orbitals do not possess such a plane? You may choose more than one answer. 0 n*20 Tzp" 0"20 Which of the following orbitals In Fz do not possess nodal plane? You may choose more than one...
5 answers
Find-ell values of_ for which the vectors are Iinearly independent (Enter your anSucrs J5 oumo "separated let Ifan answanor not OKIst, enter DNE: ) "2 = (-1, 9
Find-ell values of_ for which the vectors are Iinearly independent (Enter your anSucrs J5 oumo "separated let Ifan answanor not OKIst, enter DNE: ) "2 = (-1, 9...
5 answers
Q7. (0) [3 marks] Find the Laplece trangform of 0, 0 < t< "/2 f() sin(t) , t >#/2 (6) [2 marks] Fiud the inverse Laplace trangform of 8 + 2 F(s) +68 + 13
Q7. (0) [3 marks] Find the Laplece trangform of 0, 0 < t< "/2 f() sin(t) , t >#/2 (6) [2 marks] Fiud the inverse Laplace trangform of 8 + 2 F(s) +68 + 13...
5 answers
Compare the graph of the function with the graph of its parent function.$$g(x)= rac{1}{4} x^{3}$$
Compare the graph of the function with the graph of its parent function.$$g(x)=\frac{1}{4} x^{3}$$...
1 answers
Use a diagram to model. $\frac{1}{2} \cdot \frac{5}{8}$
Use a diagram to model. $\frac{1}{2} \cdot \frac{5}{8}$...
5 answers
Chaptcr Alkcries; Structure and RcactivilyCalculale the deuer Wlsalurition and draw Ole Possible struclurc Honnulng (4 pts) C,HINOfollowingCHNCIBrAssign Eorz ciaonurns designaton for thc following alkenes_ pts) CH;CHz CH;OHCO,HHCCH;CH;CH;CH;NH;CH;,CHzCH;CHANHCH}
Chaptcr Alkcries; Structure and Rcactivily Calculale the deuer Wlsalurition and draw Ole Possible struclurc Honnulng (4 pts) C,HINO following CHNCIBr Assign Eorz ciaonurns designaton for thc following alkenes_ pts) CH;CHz CH;OH CO,H HC CH;CH;CH; CH;NH; CH;,CHz CH; CHANH CH}...
3 answers
Part 1 (6 total points) For what valures of = d the iollowing power geries converge? (i.e: wbat is the Interval of Convergence for each power series?):+1)"7=1nlk + 4" 5"(+1)" %"+1 1=0
Part 1 (6 total points) For what valures of = d the iollowing power geries converge? (i.e: wbat is the Interval of Convergence for each power series?) :+1)" 7=1 nlk + 4" 5" (+1)" %"+1 1=0...
5 answers
MUE RHLENHUA RHEEHEMERHH MHMEERRREEHRMERENEMEHEMHRLMNEHEHHRHHKRGA AELEKHHELN MHERKHHEMEHMMRNMERKNHMNHMHERURENRHMNHHGKKKMNR HHLTRHERUREHEWER ERKRERERKHRMNMEMKRMMKMMKKHEHR MRXREEHEERREEUUUERAEZRMHEHEENMMHHMRAEKAEUE
MUE RHLENHUA RHEEHEMERHH MHMEERRREEHRMERENEMEHEMHRLMNEHEHHRHHKRGA AELEKHHELN MHERKHHEMEHMMRNMERKNHMNHMHERURENRHMNHHGKKKMNR HHLTRHERUREHEWER ERKRERERKHRMNMEMKRMMKMMKKHEHR MRXREEHEERREEUUUERAEZRMHEHEENMMHHMRAEKAEUE...
5 answers
Revolutions in one minute: The center of the diameter of 40 feet completes A Ferris wheel with - at the lowest point; = which ride starts whecl is 30 feet above the ground: Ifa person taking the ground after t seconds? used to model the riders height h(t) above trigonometric function can be (Note: the height of the rider is negligible)h(t) = 40 cos It) + 10 15 h(t) = 20 cos It) +30 15 h(t) = -40 cos 3t) +30 h(t) = -20 cos It +30 15
revolutions in one minute: The center of the diameter of 40 feet completes A Ferris wheel with - at the lowest point; = which ride starts whecl is 30 feet above the ground: Ifa person taking the ground after t seconds? used to model the riders height h(t) above trigonometric function can be (Note: t...

-- 0.019693--