MATH 321 Lecture Notes - Lecture 34: Normal Distribution, Random Variable, Standard Deviation

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7. 2 applications of the normal distribution learning objectives: find and interpret the area under a normal curve 2. Find the value of a normal random variable. Suppose that the random variable x is normally distributed with mean and standard deviation. The table gives the area under the standard normal curve for values to the left of a specified z- score, z, as shown in the figure. Iq scores can be modeled by a normal distribution with = 100 and = 15. An individual whose iq score is 120, is 1. 33 standard deviations above the mean. The area under the standard normal curve to the left of z = 1. 33 is 0. 9082. Use the complement rule to find the area to the right of z = 1. 33. Find the area under the standard normal curve to the left of z = 0. 38. Area under the normal curve to the right of z: = 1 area to the left of z.

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