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2.35 1.75 0.9599 0.0401 0.4599 2.70 0.9965 0.0035 0.4965 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard nor curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Th the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) – 0.5.) Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 .5000 5000 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 0.000

2.35 1.75 0.9599 0.0401 0.4599 2.70 0.9965 0.0035 0.4965 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard nor curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Th the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) – 0.5.) Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 .5000 5000 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00 2.50 3.00 0.000

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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8. Introducing the Distributions tool Many Aplia problems use the following Distributions tool. You can use this tool to retrieve the information that you would get from a distributions table. The advantage of the tool is that it allows you to see in two dimensions how changing parameters, such as the z-score, will affect the resulting probabilities. Use the tool to complete the following table. Body Tail Body Tail Mean to z Body Tail Mean to z 0.6179 0.3821 0.1179 1.85 0.9678 0.0322 0.4678 0.30 1.90 0.9713 0.0287 0.4713 0.70 0.1841 0.3159 2.35 0.90 0.8159 2.70 0.9965 0.0035 0.4965 1.75 0.9599 0.0401 0.4599 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis, The areas under the standard normal curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) - 0.5.) Standard Normal Distribution
Transcribed Image Text:8. Introducing the Distributions tool Many Aplia problems use the following Distributions tool. You can use this tool to retrieve the information that you would get from a distributions table. The advantage of the tool is that it allows you to see in two dimensions how changing parameters, such as the z-score, will affect the resulting probabilities. Use the tool to complete the following table. Body Tail Body Tail Mean to z Body Tail Mean to z 0.6179 0.3821 0.1179 1.85 0.9678 0.0322 0.4678 0.30 1.90 0.9713 0.0287 0.4713 0.70 0.1841 0.3159 2.35 0.90 0.8159 2.70 0.9965 0.0035 0.4965 1.75 0.9599 0.0401 0.4599 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis, The areas under the standard normal curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) - 0.5.) Standard Normal Distribution
Body Tail Mean to z Body Tail Mean to z 0.30 0.6179 0.3821 0.1179 1.85 0.9678 0.0322 0.4678 0,70 1.90 0.9713 0.0287 0.4713 0.90 0.8159 0.1841 0.3159 2.35 1.75 0.9599 0.0401 0.4599 2.70 0.9965 0.0035 0.4965 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard normal curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) – 0.5.) Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 5000 5000 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0,50 1.00 1.50 2.00 2.50 3.00 0.000
Transcribed Image Text:Body Tail Mean to z Body Tail Mean to z 0.30 0.6179 0.3821 0.1179 1.85 0.9678 0.0322 0.4678 0,70 1.90 0.9713 0.0287 0.4713 0.90 0.8159 0.1841 0.3159 2.35 1.75 0.9599 0.0401 0.4599 2.70 0.9965 0.0035 0.4965 To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard normal curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) – 0.5.) Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 5000 5000 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0,50 1.00 1.50 2.00 2.50 3.00 0.000
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