{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

14111cwir7ws.1 - P S = 1 • Rules of Probability • P E...

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

View Full Document Right Arrow Icon
Fall 2011 Week-in-Review #7 courtesy: Kendra Kilmer (covering Sections 7.2, 7.3, and 7.4) Sections 7.2 and 7.3 Suppose we repeat an experiment n times and an event E occurs m of those times. Then m n is called the relative frequency of the event E . The probability of an event is a number between 0 and 1 that represents the likelihood of the event occuring. The larger the probability, the more likely the event is to occur. An event which consists of exactly one outcome is called a simple event of the experiment. The table that lists the probability of each outcome in an experiment is known as the probability distribution . For a uniform sample space with n outcomes the probability of each outcome is 1 n . To find the probability of an event E , add the probabilities of the simple events of E . Recall P ( ) = 0 and
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: P ( S ) = 1. • Rules of Probability • P ( E ∪ F ) = P ( E ) + P ( F )-P ( E ∩ F ) • If E and F are mutually exclusive, then P ( E ∩ F ) = 0 • P ( E ) = 1-P ( E c ) 1. An experiment consists of randomly selecting a sample of 2 chips from a bowl containing 3 chips numbered 1 through 3 and observing the numbers. (a) Find the sample space (b) Find the simple events associated with the experiment. 2. A marble is selected at random from a bowl containing 3 blue, 6 yellow, and 8 orange marbles and the color is observed. (a) Find the sample space for this experiment. (b) Find the probability distribution for this experiment. (c) Find the event E where E is the event that the marble drawn is not orange. (d) What is P ( E )?...
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