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14111cwir7ws.1

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

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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
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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 )?...
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