Probability and Standard Normal Distribution

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• Standard Normal Distribution

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  In each of these problems you first write the probability statement in terms of X. Then you convert the normal distribution to a standard normal distribution by subtracting the mean and then dividing by the standard deviation.

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• In its standardized form, the normal distribution

  179509 In its standardized form, the normal distribution 1. In its standardized form, the normal distribution a) has a mean of 0 and a standard deviation of 1. b) has a mean of 1 and a variance of 0. c) has an area equal to 0.5.

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  4412 Standard Normal Distribution and Binomial Distribution It is estimated that the probability that the general population will live past their 85th birthday is 5.4%.

• Finding probability and area under a distribution

  502854 Finding probability and area under a distribution 1. Find the following probability for the standard normal random variables z P( -1.5< z < 1.5) 2.

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• Find probability of height

  Then X follows a normal distribution with a mean of 69.2 inches and a standard deviation of 2.0 inches. Hence, Z=(X-69.2)/2 ~N(0, 1), the standard normal distribution.