Question

Eade, lou can attempt an online quiel: as many times as you like. Your Score Xk on attempt "kisat.continous un form 10,10) tandem variables, Independent of any other attempts. Your grade is based on the average score 2.0 YNE (X1+12+A+Xn)/n Your grades is an Aif your average Yn is 8 or better. BiIf you take the quiz n times, your final score is the average n = (Xut ke +Xnl/n Ella Lid wallow - QolYou take the quiz 3 times, and your Scere is Y The studereli deviations of Us is "A Center a decimal number) Q. You take the quiz n= 4 times. Use the central limit theorem to estimate PAT PLY>=8] God A = 0.9812 B: 0.2000 C- ATOAAW D=0.2017 E = D.0188 You decide to keep taking the quiz until you get a score X of 8 or better The numbe N of times you take the quiz EIN): Find the conditional expeded value? E[ X3N=2]-C Find the conditional expected value. E [X3N=5] =( How: Answer is a Tateget

Answer 1

R 1, 2, .--. n Ot10 - - 5 so I ka 1, 2, nn. D From the observed data Xk~ 0/0,10) K = 1, 2, ....n £(*K) - Dt10 35 u(xx) = 10-oje - o - Elxk) = 5, vlxk) = 25 k= 1,2,..n Yos (x, * * * *** txo) Elmo): el $ (**** *.. x)) = tf(x + 4xo) ( E(Xi) +E(4) t... Elx)) Xi + xy + anno

• ( 5+5+ ... 5) 5+5 ta TE (Ym) = 5 "b you (6) okt 92 з Нmik ko ous goe iх у, y = x + 2 + x3 3 X + X 13 v (%) = v( *1**) - ${ x1 + $7x3] - $ (16) +v(x) +v(xs)] v1 %) = 24 Standard deviation of yz - Ju (%) = 25 Ş.

- so standard deviation of Yo = 3/5 (3) Yu = (x1 + x2 + x3 + x4 ) ( vụ). 1 ( x + 5 + x3 + xx ) 4 v( Yu) - to vf x+* + x3 + xu] 1 to [ 28 exu xy 100 ya standard Suyu) - 10 Now deviation of Yu = A: YA 28 PIA ). pl Yu 28 ) Spru - Elyu) L. Il ve Yu) | 8- Elvu) PI vious") 2 Tulous

PLA 2= Standard normal variable pla) = pza box us] 2: Standard normal sp{?2.078461] [now Wing Standard normal? - 1-P [229.078461] table 1-0.9811665 : 0.01883346 (PLA) = 0.019) Now , using central limit theorem PLA) - Pl Yu 24) : 0.019) (u) There are 10x10 = 100 posibilities for a grade do A, the score must be 16. The possibilities are 8,810,6 6 109,77,9 probability - -0.05. 1. so that none of the above 100 o send As per hour them I hope please them chess Suidelines have to sdue questions. Remaining questions are seperately. will this work helpful for us give up-vote for my work,