16% 2.5% -40 -30 -20 -10 10 20 За 40 Start by drawing a normal curve, then label the horizontal axis with the mean, u, in the center and three standard deviations on both sides of the mean. The standard deviations to the left of the mean are negative and the standard deviations to the right of the mean are positive. We know that the area under the curve is 1. To find the area of the shaded region, subtract the areas that we know. We know that the area to the left of-lo is 16% and the area to the right of 20 is 2.5%. 1 – 0.16 – 0.025 = 0.815 = 81.5%. The area is the same as the probability, which is 81.5%. %3D %3D 2. What is the probability of the data is within 2 standard deviations of the mean? Draw a normal curve and then find the probability. The probability is %. Click to view explanation 3. What is the probability of the data to the left of u? Draw a normal curve and then find the probabilities. The probability is %. Click to view explanation 4. What is the probability of the data between the mean and the third standard deviation? Draw a normal curve and find the probability. The probability is % Click to view explanation MacBook Air

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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100%
SC
16%
2.5%
-40
-30
-20
-10
10
20
30
40
Start by drawing a normal curve, then label the horizontal axis with the mean, u, in the center and three
standard deviations on both sides of the mean. The standard deviations to the left of the mean are
negative and the standard deviations to the right of the mean are positive. We know that the area under the
curve is 1. To find the area of the shaded region, subtract the areas that we know. We know that the area to
the left of-1o is 16% and the area to the right of 20 is 2.5%.. 1 – 0.16 - 0.025 = 0.815 = 81.5%.
The area is the same as the probability, which is 81.5%.
2. What is the probability of the data is within 2 standard deviations of the mean? Draw a normal curve and
then find the probability.
The probability is
%. Click to view explanation
3. What is the probability of the data to the left of u? Draw a normal curve and then find the probabilities.
The probability is
%. Click to view explanation
4. What is the probability of the data between the mean and the third standard deviation? Draw a normal
curve and find the probability.
The probability is
% Click to view explanation
MacBook Air
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%#3
Transcribed Image Text:SC 16% 2.5% -40 -30 -20 -10 10 20 30 40 Start by drawing a normal curve, then label the horizontal axis with the mean, u, in the center and three standard deviations on both sides of the mean. The standard deviations to the left of the mean are negative and the standard deviations to the right of the mean are positive. We know that the area under the curve is 1. To find the area of the shaded region, subtract the areas that we know. We know that the area to the left of-1o is 16% and the area to the right of 20 is 2.5%.. 1 – 0.16 - 0.025 = 0.815 = 81.5%. The area is the same as the probability, which is 81.5%. 2. What is the probability of the data is within 2 standard deviations of the mean? Draw a normal curve and then find the probability. The probability is %. Click to view explanation 3. What is the probability of the data to the left of u? Draw a normal curve and then find the probabilities. The probability is %. Click to view explanation 4. What is the probability of the data between the mean and the third standard deviation? Draw a normal curve and find the probability. The probability is % Click to view explanation MacBook Air O00 D00 F4 F1 F2 F3 F5 F7 2$ & * 2 4 6. 7 8. W LL %#3
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