0 k o r1t i 3 0 f1lh1 dg jii1 i 0 ig 2 ii1d r 2 sjje

Info icon This preview shows pages 2–5. Sign up to view the full content.

View Full Document Right Arrow Icon
;''''0 k:~-O r1<t 'I.. 3 '-:0 f{1l)h1'-d..~G~) ~. (JiI.~.1 'i-0 ~Ig, 2.. -\<I>I'1d -:-r:::: ~ \ - \ ,. . ,,\'2. - ~ 'SjJe: ~ '--t.f d.«t' I-V (l-tU~ Tl,crefbrej ~ ( ) k..- 2 - b k.. l;-I 'l ~ 2- k=cO 4 'FJ;St (, -tt)~ ~CA.c): .. ~ T
Image of page 2

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

View Full Document Right Arrow Icon
3. Random variables: (d) (8 points) Suppose that the following table gives the probability density function for discrete random variable x: Create a table (a) (4 points) Define a random variable (the general definition, not for the cumulative distribution function for X and graph it. F( -::() the definition for continuous.or discrete random variables). ?t A r~f'ldo"" "~f'iCl\6Ie it c, - .f'~~C+"ol) f-r'o1Y\ ~ SClO\(J\.-e {pa"e. -n. ill+o II -!e"4- 61- -2- -/ ~. f' e-II \ I"\v.., b-t r' . -o.s- (b) (4 points) Define the expectation of a discrete random variable X. 'Ibis should involve a formula. I Fo." '1 dl~c.re+e ('4ndOfll \fQnQb~ 'X I --t+e.mf:-t4n ~ Ot"~"pet+ecJ Vc.lu -e of! ~ is. E(Y)::: ~ ~ RCIC;:")(1 / i v t--o ct./1O 0.\ ~(:x::~x.) F()():: _ \ 0 x,,-2. f{ , 'W"er~ -tkl, S\lIW\;1 ?( ovQ(' DIll v~IUt~ .A +f..e. rtH1~t 01 '12_ -2~')(~-1 '">< 'X Wi+" P(":X=~~ "'>0. (c) (4 points) Define the variance of a discrete random variable X. -I~"'t <: - n,is should involve a formula. "1,0 For Ct dikre+e.rCllldo~ va f'iob'e -.x Wlfh g/lo -a,s.!"",:, ('/ 'X-q)(iS is -x '(-a-",;s is F(~ t'rleq() ..A.<j;i.e v~"iQt)c-e ~ Y ,'s 'IGor' (x\:: '£, ("'(_~2. p(r~?() CY,o I~ ~ < 2- ..,.,. ~e~ -tte. oS U,,", il over CIIH "Ql\.1~S Ii') 11-e, ")(~"2 n-",-c.. O'f ~ wi...-h P(X~)o(}>O. 5 6 Pb;)~ P(-X"'~~) ~ Y.o ?i/o Mo 1,0 I
Image of page 3
) ) 4. On Sunday, I went to Nasa's Jet Propulsion Lab for their annual open house. While there, let's say I coUected data on the heights and ages of random passers-by. The data is recorded on the last sheet (feel free to detach the sheet, there is no aeed to tum it in). Consider the age of the people to be one random va.riabl~,·taIl it A, and the height to be another, call it H.
Image of page 4

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

View Full Document Right Arrow Icon
Image of page 5
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