68-95-99.7 Rule 0.40 0.35 0.30 68.27% 0.25 Probability Density 0.20 95.45% 0.15 0.10 0.05 99.73% 0.00 -30 - 20 -O +0 u +

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68 95 99 7 Rule 0 40 0 35 0 30 68 27 0 25 Probability Density 0 20 95 45 0 15 0 10 0 05 99 73 0 00 30 20 O 0 U 1 (47.49 KiB) Viewed 91 times

68-95-99.7 Rule 0.40 0.35 0.30 68.27% 0.25 Probability Density 0.20 95.45% 0.15 0.10 0.05 99.73% 0.00 -30 - 20 -O +0 u + 20 +30 68% of the data is within 1 standard deviation, 95% within 2 standard deviation, 99.7% within 3 standard deviations Figure 6.5: Normal Distribution Empirical Rule Quick example: Suppose the time it takes to run from foul line to foul line on a basketball court is normally distributed, with a mean of 5 seconds and standard deviation of 1.5 seconds. What is the probability that a randomly selected sprint time is from 5 to 6.5 seconds? % (Round to the nearest whole number.)