Explanation Initially find the area under the standard normal distribution curve z = 2.45. Find the area of z = 0 by using Table 12-3. Area of z = 0 is 0.000 . Find the area of z = 2.45 by using Table 12-3. Area of z = 2.45 is 0.493 . The area between 0 and 2 .45 = 0.493 − 0.000 = 0.493 All of the z-scores in the Table 12-3 are positive. But it is known that the areas for negative z-scores are exactly the same as for the corresponding positive z-scores. So, look up the positive z-scores instead of negative z-scores. Now find area of z = −1.05 by using Table 12-3. Area of z = 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 11.6, Problem 38E

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To find: The area under the standard normal distribution curve between z = 2.45 and z = −1.05.

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Chapter 11.6, Problem 37E

Chapter 11.6, Problem 39E

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The area under the standard normal distribution curve between z = 2.45 and z = −1.05.

Solution Summary: The author explains that the area under the standard normal distribution curve between z = 2.45 and 1.05 is 0.846.

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To find: The area under the standard normal distribution curve between z = 2.45 and z = −1.05.

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