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Instead we assign probabilities to intervals of

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Unformatted text preview: imal numbers between 0 and 1 with a specified but arbitrary number of digits. A uniform density curve can be used to represent the probability that a randomly chosen number falls in a certain interval between 0 and 1. 5 M316 Chapter 10 Dr. Berg The Normal distributions are probability models. The heights of young women follow a normal distribution with mean 64 inches and standard deviation 2.7 inches. This means that the probability that the height of a randomly chosen young woman is between 68 and 70 inches is given by the area under the normal density curve for N(64, 2.7). See example 10.9. Exercise (10.14) Adding Random Numbers Generate two random numbers between 0 and 1 and let Y be the sum. The sum Y can take any value between 0 and 2. Here is the density curve. a) b) c) Verify that the area under this curve is 1. What is the probability that Y is less than 1? What is the probability that Y is less than 0.5? 6 M316 Random Variables Chapter 10 Dr. Berg In example 10.7 we let X stand for...
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