The weights for a group of 18-month-old girls are normally distributed with a mean of 24.8 pounds and a standard deviation of 2.7 pounds. Use the given table to find the percentage of 18-month-old girls who weigh more than 27.4 pounds. z-score 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 z-score 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 z-score 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 4.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 99.997 _______% of 18-month-old girls in the sample weigh more than 27.4 pounds. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
The weights for a group of 18-month-old girls are normally distributed with a mean of 24.8 pounds and a standard deviation of 2.7 pounds. Use the given table to find the percentage of 18-month-old girls who weigh more than 27.4 pounds. z-score 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 z-score 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 z-score 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 4.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 99.997 _______% of 18-month-old girls in the sample weigh more than 27.4 pounds. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
8
The weights for a group of 18-month-old girls are normally distributed with a mean of 24.8 pounds and a standard deviation of 2.7 pounds. Use the given table to find the percentage of 18-month-old girls who weigh more than 27.4 pounds.
|
z-score
|
0.1
|
0.2
|
0.3
|
0.4
|
0.5
|
0.6
|
0.7
|
0.8
|
0.9
|
1.0
|
|
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
Percentile
|
53.98
|
57.93
|
61.79
|
65.54
|
69.15
|
72.57
|
75.80
|
78.81
|
81.59
|
84.13
|
|
|
|
z-score
|
1.1
|
1.2
|
1.3
|
1.4
|
1.5
|
1.6
|
1.7
|
1.8
|
1.9
|
2.0
|
|
|
|
Percentile
|
86.43
|
88.49
|
90.32
|
91.92
|
93.32
|
94.52
|
95.54
|
96.41
|
97.13
|
97.72
|
|
|
|
z-score
|
2.1
|
2.2
|
2.3
|
2.4
|
2.5
|
2.6
|
2.7
|
2.8
|
2.9
|
3.0
|
3.5
|
4.0
|
|
Percentile
|
98.21
|
98.61
|
98.93
|
99.18
|
99.38
|
99.53
|
99.65
|
99.74
|
99.81
|
99.87
|
99.98
|
99.997
|
_______% of 18-month-old girls in the sample weigh more than 27.4 pounds.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
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