Give answer wi a fraction or in decimal form show and

Info icon This preview shows pages 3–4. Sign up to view the full content.

(Give answer WI a fraction or in decimal form.) (Show and explain your work.) 2 P(X=IJY=- ~ h?(X=OJY=z.) -7 Z (?f-/,-" !;7,,(>1) ,O/{+ .32. = .3£, '------- ----' 'll ; .... i -f () + - 11) po points) When Helen tosses a dart at a target, the distance (in inche~) 12) (10 points) A continuous random variable Y has probability density fW1C- from the center of the target that she hits is well described as Ii continuous tion given below. r8.lldom variable X with probability density funct.ion given bel~', where C 0 if s<-l or 8>1, is an appropriate number. Jy(,) = 1 +, if -1:5. < o. { 0 if B < 0 or H> 10, . 1-8 if 0~8~1. . 1.«') ~ { C, if 0 S' S 10, Compute Var(Y). (Provide a. numerical answer in decimal form,) (Show and a) Find the vtlolue of C. explain your work.) b) IT she tosses the dart at the target 5 times, what is the probability that at least once the dart hits the target les!! t.han 2 inches from the renter? Assume Ylldependencc of the 5 tosses t {yLl>-) (Provide numeriClll an~y,'e1"8 in decimal form.) (Show 8.lld explain your work.) ii~ " .-_._-_._-_ .. -_.- ) i 4- 10 ..Lv) +,,0 o ( .. ' .-e., 0,) ) {./t).:: 1 -J i. -,:c) C - 3c r ,.'- 0 (Ai tl'>- ( ;/ lit}, ') ch.- t .100 .; ~y -',p ~ 0.02.. -of' -I ~,;y--~ u ...... L._ ') o r !> ~ b\ ( (;".'. AS) JJ ... t l - + = .J~ 3 -I r I If' [C I' '\ :V .f:. 3 1. l O - (-i· 'f J t' 3-;)-0 J /2 b ~ . ~ j ~Ol(' T!M<f~ v""-' (y) = r ~1'I(4-),4 - (J<Y) = i-O / ,_ ,. ~ r -06 b <>
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

¢(I) + ¢tcU .. .,J-/= .P'f13 - .SfN-:1 P(X'/22S) = 0;;;;;7 !~i!~ .. ~~~ __ J~)- _C:.? 2 I $"1 -Co~()( >2/5) ---- I f(Y:>J.lsj p( "-:;. 2.5) ...... _.,--- f(~>,:5) .!.:_1!~,)) J'062 - j=-~fm ---- = o. () '128 / - P(!5) / - .7332 .Ob{>!? B • Table 01 the Standard Norm,~l Distribution 919 15) (10 points) 1b~ a. fair coin 100 times. Use the c..'entral limit theorem TABLE OF THE STANDARD NORMAL DISTRIBUTION to find an approximation for the probability that the nwnber of heads is at most 55. (Provide (1 numericaJ IUlsW €r in decimal form.) (Show and explain Are" under the Standard Normal Curve from -00 10 ~ (sc~ Figure B.l) , your work.) .., #- 1- .t~clk r')1 e loo L-1t ~ i3Y""~ ;;..= bXi ~ !i t-v;,\:;;t,~v ... F;gu~ .. D.I !.- fL ,,~ \b.--l, ~ t>t~-f U J J J ill 7 0.2 ."93 J832 Jan J910 .5948 J987 HJU 6Q6.I .6103 .6141 ru .6179 .6211 .W5 .IU9} .6311 .6Jbll .64lXt 644~ .6480 .6S1l 0.4 ..6554 ..6591 .6628 .6664 .~100 .~736 6rn !>80~ .61144 .68~ OJ .691' .6950 .til)&) .71)19 .'7'l:04 .'7088 .1123 .,15' JI90 .n24 0.6 .7U8 .n91 .1314 .13H 'I'J.'l'j 7422 .7454
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern