S412 Let be a discrete random variable with probability mass function 1 for 1 2

S412 let be a discrete random variable with

This preview shows page 5 - 8 out of 8 pages.

S4.12 Let be a discrete random variable with probability mass function 1 ! for 0 1 2 . . . Then 1 equals (A) 1 (B) 1 1 (C) 1 2 1 (D) 1 (E) none of the above. S4.13 You have two light bulbs. The life length of each bulb (in hours) is a continuous random variable with probability density function 2 2 if 0 0 otherwise The two bulbs are allowed to burn independently of each other. The proba- bility that both bulbs will each last at least one hour is (A) 0 (B) 1 2 2 (C) 4 (D) 2 2 (E) none of the above.
Image of page 5
Self-Test Exercises for Chapter 4 97 S4.14 Let be a continuous random variable with cumulative distribution function 0 if 1 1 2 1 if 1 1 1 if 1 Let denote the probability density function for . The value of 0 is (A) 0.00 (B) 0.50 (C) 0.75 (D) 1.00 (E) none of the above. S4.15 Let be a random variable with cumulative distribution function . Suppose 0 0 3 and 1 0 5. Then 0 1 equals (A) 0 (B) 0.2 (C) 0.3 (D) 0.5 (E) none of the above. S4.16 Let be a continuous random variable with probability density function 3 2 if 0 1 0 otherwise Let denote the expected value of . The value of is (A) 0 (B) 3/8 (C) 3/4 (D) 3/2 (E) none of the above.
Image of page 6
98 Self-Test Exercises for Chapter 4 S4.17 Suppose that an integrated circuit has a life length (in units of 1000 hours) that is a continuous random variable with probability density function 3 3 if 0 0 otherwise An integrated circuit considered defective if its life length is less than 3000 hours. The life lengths of any two integrated circuits are independent random variables. A batch of 100 integrated circuits are tested. The expected number
Image of page 7
Image of page 8

You've reached the end of your free preview.

Want to read all 8 pages?

  • Spring '17
  • Probability distribution, Probability theory, probability density function, Cumulative distribution function, Probability mass function

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

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors