{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

exam2 - Math 351 Exam 2 W.T Kiley December 1 2006 Clearly...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 351 Exam 2 W.T. Kiley December 1, 2006 Clearly show your work and answers. Follow the Honor Code. (/Z)1° X is normal with a mean of 100 and a variance of 16. Find: a) the probability that X is between 98 and 102; b) an interval that has .9 probability of containing X. i ‘ WW 4) 29/755 MW) 2 27:94 2:5) a éZ; “’5 19 fl: P{—/,é7;:2 5/225): Hrwfié’f XMf/MQ 6’ [7) 2. Y is the mean of 25 independent values cf the above X. Answer the same 2 questions about Y. Z = 1:122 Wax, é/flfl; a}- was? .8’ 00 PKVs/f/o 2) = {9(3sz 2 52;) r, 773;: M42. M9: PHMSE VT? sue/(j = P[ was xv 5 MIKE/é] (/2) 3. X is uniform on [-2,2] and Y = X . Find: a) the p.d.f. of Y; b) the probability that Y is less than 2. W 50 F/g) 7~ 5;, 91 “ff/9);;I/Z‘) rad/7765 :- -y < I b) 4. The joint p.d.f. of (X,Y) is e for 0<x<y. Find: a)the p.df.for Y; b)the erop roaiiaisbbltythtY sesl sthanl; cec)th onditio na..lpdf.for X,giventhtY= y;eed)th exevapectd auel o,fXgive nY= y. <I?)5.eThjointp..df.o o,isf(XY) 9x 22y for o< x,.y<l Fi nzd aec)th variance o;fXandY b)thejoi n..tpdf.o er= XYandV= Y, c)the e.pdf. o.fU a) {( W)/ W WW4 5(X7>»jofo’f¢gz MM I f ¢g74fl)/o/gzj% [J;:/x/JA][Jy {My} MMM 4., /J( y): 500/} ENE/V) p X’V;/-l/,a¢f «fig; [’2 % ’4' ef/an M wa- =~ 0 «0:3 31:07 4’ ”W €M’ZM/ fiefl’Aa/EMHJ ...
View Full 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