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Unformatted text preview: 2 of 7 1.2 Probability distributions Types of questions we want to answer Find the probability that the mean is ... english statement mathematical notation equal to fifty P ( = 50) not equal to fifty P ( 6 = 50) not fifty P ( 6 = 50) greater than fifty P ( > 50) at least fifty P ( 50) less than fifty P ( < 50) no more than fifty P ( 50) between forty and fifty (inclusive) P (40 50) between forty and fifty P (40 < < 50) 1.2 Probability distributions Probability distribution P ( x i ) . Definition 1.2 describes the probability of a discrete random variable x . P ( x i ) is the probability of observing x i . Describes population . Two key properties of probability distributions k X i =1 P ( x i ) = 1 (1) with k possible values of x . P ( x i ) 1 , for i = 1 , 2 ,...,k (2) Ways we can represent P ( x i ) Three basic ways we can represent P ( x i )....
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