54. The function for the standard normal distribution is f(x) = /2T Its graph is that of the bell curve. Probability and statis- tics books often have tables like the one following, which lists some approximate areas under the bell curve: Areas under the bell curve 1 0.5 0.3829 0.6827 1.5 0.8664 0.9545 2.5 0.9876 Use the information given in the table, properties of def- inite integrals, and symmetry to find 1.5 1 (a) 27 e-x?2 dx (b) 1 x²1² dx 2T -0.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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54. The function for the standard normal distribution is
f(x) =
/2T
Its graph is that of the bell curve. Probability and statis-
tics books often have tables like the one following, which
lists some approximate areas under the bell curve:
Areas under the bell curve
1
0.5
0.3829
0.6827
1.5
0.8664
0.9545
2.5
0.9876
Use the information given in the table, properties of def-
inite integrals, and symmetry to find
1.5
1
(a)
27
e-x?2 dx (b)
1
x²1² dx
2T
-0.5
Transcribed Image Text:54. The function for the standard normal distribution is f(x) = /2T Its graph is that of the bell curve. Probability and statis- tics books often have tables like the one following, which lists some approximate areas under the bell curve: Areas under the bell curve 1 0.5 0.3829 0.6827 1.5 0.8664 0.9545 2.5 0.9876 Use the information given in the table, properties of def- inite integrals, and symmetry to find 1.5 1 (a) 27 e-x?2 dx (b) 1 x²1² dx 2T -0.5
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