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Given a standard normal distribution, find the value of k such that (a) P(Z> k) = 0.2578; (b) P(Z

Given a standard normal distribution, find the value of k such that (a) P(Z> k) = 0.2578; (b) P(Z

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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I need help with this please parts a to c

Given a standard normal distribution, find the value of k such that (a) P(Z> k) =0.2578; (b) P(Z <k)= 0.0384; (c) P(-0.86<Z<k)= 0.6780. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) k= (Round to two decimal places as needed.)
Transcribed Image Text:Given a standard normal distribution, find the value of k such that (a) P(Z> k) =0.2578; (b) P(Z <k)= 0.0384; (c) P(-0.86<Z<k)= 0.6780. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) k= (Round to two decimal places as needed.)
2 3 I D 7 3 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 A Z O B с D I J 0 0.01 0.02 0.07 0.0003 0.08 0.0003 K 0.09 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 -3.3 -2.7 0.0035 0.0034 -2.5 0.0062 -2.4 0.0082 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.001 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.001 0.001 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.002 0.0019 0.0033 0.0032 0.0031 0.003 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.004 0.0039 0.0038 0.0037 0.0036 0.006 0.0059 0.0057 0.0055 0.0057 0.0052 0.0051 0.0049 0.0048 0.008 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 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Transcribed Image Text:2 3 I D 7 3 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 A Z O B с D I J 0 0.01 0.02 0.07 0.0003 0.08 0.0003 K 0.09 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 -3.3 -2.7 0.0035 0.0034 -2.5 0.0062 -2.4 0.0082 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.001 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.001 0.001 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.002 0.0019 0.0033 0.0032 0.0031 0.003 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.004 0.0039 0.0038 0.0037 0.0036 0.006 0.0059 0.0057 0.0055 0.0057 0.0052 0.0051 0.0049 0.0048 0.008 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 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