{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter5 - Chapter 5 Continuous Random Variables 5.1...

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

View Full Document Right Arrow Icon
Chapter 5 Continuous Random Variables 5.1 Probability Distributions for Continuous Random Variables Continuous Random Variable : A continuous random variable (RV) is one that can assume the infinitely many values corresponding to the points on a line interval. For examples i. The heights or weights of a group of people. ii. The life time of a battery. iii. The time between service calls on an office machine. Unlike discrete random variables, we can not assign a positive probability to each of these infinitely many points and still have the probabilities sum to 1. Probability Density Function ( pdf ): The density function f ( x ), represented graphically in figure (5.1, page 206), provides a mathematical model for the population relative frequency histogram that exists in reality. The total area under the curve is always 1. The probability that a continuous random variable assumes a value in the interval a to b is the area under the probability density function between the points a and b . For example, see figure 5.1, page 206.
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.

{[ 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