F r x 12 p c c x t ytqs y ol s laax1l z 3 tl oia sq i

Info icon This preview shows pages 3–6. Sign up to view the full content.

View Full Document Right Arrow Icon
f ()( >\ r;/ X / 1.2-) P C)<) C) X :::~~ t y\t\QS Y> ~Ol" S lAA'\X1,l , , -z- 3 :tL, '" OI.A S,Q.~ I : {J(X/l8 (\ X )lL) ~PC)(7\'6) . , 3( "'\.n-3 ) f(X)l~) r~')\~ rlx~~)::: ln~ f \-pJ = j?-:t2-_ ~f'/~ (1= ll()(j;)llf-)Vt) e (~)
Image of page 3

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

View Full Document Right Arrow Icon
Problem 11 (40 point5- 10 points eech) You I.oss a weighted coin 150 times. The coin is weighted so that the probability AliSume thlll. X is nonnally distributed with mean ~ = -I IUld stlUldllrd devill- oC tOSiiing II head on II given toss is .6. p ~;·::;:;;~:;)·:o:>\ ~ t 0 45 == CJ,~~
Image of page 4
Problem 13 (20 pointll- 10 poinls eBCh) (b) If U is unifOl"m1y difitributed on (1,,'i), fin.l E(b). (II) Suppose X ill a continuous random variable with distribution fundion o if%<O F(%) = 2:r-%~ if 0$%<1 { 1 if 1:5 % Find the vllrillJloo or X. Leave your al1S1Irl'1 .., a fraction .1Jy..)=- r 0 X ~ 0 r~ ~ Ol - :2X 0 L. X ~ \ o X 2..\ ~(x):: 5~ X (2-2)<J =J ~ ~X -2x2-ax :=: X 1. _ -y-. 3 11 -::: \ -2" <%..L . .3 b 3 -3 ~(j2-).:: S~ X:>-(~-2tO= J~ 2-x Z-2x 3 clx CO L )( &_ ..1 X t.f I \:: 7- -1, =- .J, .3 ;} .... , 0 0 2.J ~ ) Prohlen. 14 (20 points- 10 point~ ellch) You roll two dice. Consider the following events: \ A = {llu:. hl'st dit! shuwn is Ii ::I} -- ~ B '" {The second die shown is a 3} C = {The sum of the two dice is odd} (a) Show that .4, Band C are pairwise indepel.ldent. (.) (A) ~J-0 ~l~)~ i fCc);; j.. Ov rJ ~ ( A0'0) -:: .L . .J-- ~ ..L ~J- / L 0b b0 V .., r(g(\c)?J~"k~ ~-~ V ~(t\(\c.)~1;-i~i-~ V
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
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