{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 5 Notes (6)

Chapter 5 Notes (6) - WW Fur:vemsA and a the mummy mm A and...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: WW Fur :vemsA and a, the mummy mm A and a bum occur equals, Pu m5) = P(B) x rum) Apply"; the «mama! mummy funnula to P(E|A), we alsa see um, P(A and a) = Pu) x mm) m m a mums «and. a pm" mzde (nuns on he first serve 44% am»: xime and anlv 2% on his second serves. Find the mohahllllvtha he with: I douhk flu". in “man =c‘eoen , p H 0.01 r 03' a“ 5 rs (guano 95) :4: m: use 5‘ 5 as: mentor: P(I-'F) = 0.0068 £811.: Sunpflnl am. or whom nplaumem There is : Donlalnel in mm of you wh|ch mnuins 25 pens. Oul af these 15 pens, 10 unhem wrlle well. And 5 at them an defective. Vuu will he asked to select two of them. Find the vruhabilltv that both of them are defective cm I: wnn replxement 1/5 D an 1/25 D Ils' £IS 6 DG 4125 mp) 1/5 n so 4115 1/5 6 ”S G 66 “/15 ‘1 , a _ A m V / , N an; r\ "IL, Case ll: Without replacement om - 115 D on u/sm/s; - use 5/25 - 1/5 ° IONA-SIS 5 D6 lI/5H5/63-1/E salon) 5/2: an u/susml - us 20/15 - 4/5 a “I" 5 as u/sms/m - um I ' I p Evenxs A and a are Independent, Mum) = PM), or equivalently, il P(B|A) = my) lleimeruhhem holds, mum: olhev does mo, and also, P(A and a) = PM) x P(B). Nate: Vuu can check for independence 0' two events A and B by checking one o! the knowing three (auditions. - ls pals; = ppm - ls mm) = P(8)7 - ls P(A and a) = Pu) x my)? Ex ll: 5.45: For a family with Mo children, lel A dame (first child is ’emale] and let C dennte (ham children Ire lemale). Find whether A and E are independent 1,; v r: 1/. r 2/1 x11 M m In 1/ 1 r M: 1/; 1/1 M ”I M MM 1/. fund whemer A and C are independent 1 P(A) = ;p(c) = P(FF) = z 4‘ P(A and c) = P(FF) = E; P(A) x P(C) = x NI.- +1- ml» Therefore, PM and c) s PM) x P(C)- Hence, Am c ave no! independent, ...
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