230hw2 - MATH 230 HOMEWORK 2(Due December 2 2009...

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

View Full Document Right Arrow Icon
November 20, 2009 MATH 230 HOMEWORK # 2 (Due: December 2, 2009, Wednesday) [Please, submit your homework to my office (SA 105) by 5:30 PM] (DO NOT forget to write your Section number) 1. To be a winner in the following game, you must be successful in 3 successsive rounds. The game depends on the value of Y , a uniform random variable on (0,1). If Y> 0.1, then you are successful in round 1; if Y >0.2, then you are successful in round 2; and if Y >0.3, you are successful in round 3. a) Find the probability that you are successful in round 1. b) Find the conditional probability that you are successful in round 2, given that you were successful in round 1. c) Find the conditional probability that you are successful in round 3, given that you were successful in round 1 and 2. d) Find the probability that you were a winner. 2. A filling station is supplied with gasoline once a week. If its weekly volume of sales in thousands of gallons is a random variable with probability density function < < - = otherwise x x x f 0 1 0 ) 1 ( 5 ) ( 4
Image of page 1

Info iconThis 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.

{[ 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