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According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 8 standard deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal with mean μ and variance o², what is the exact value of P(μ-30

According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 8 standard deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal with mean μ and variance o², what is the exact value of P(μ-30

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 67E
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According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 8 standard deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal with mean μ and variance o², what is the exact value of P(μ-30< X <µ+30)? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. P(μ-30<x<μ+30) = (Round to four decimal places as needed.)
Transcribed Image Text:According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 8 standard deviations of the mean is at least. If it is known that the probability distribution of a random variable X is normal with mean μ and variance o², what is the exact value of P(μ-30< X <µ+30)? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. P(μ-30<x<μ+30) = (Round to four decimal places as needed.)
1 2 B I 5 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 8 1 2 3 4 5 6 negative 0.0 B 0 с 0.01 D 0.02 E 0.03 F 0.04 G 0.05 H 0.06 I 0.07 J 0.08 K 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -2.5 0.0062 -2.4 0.0082 0.0084 -3.3 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 -2.7 0.0035 0.0034 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 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Transcribed Image Text:1 2 B I 5 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 8 1 2 3 4 5 6 negative 0.0 B 0 с 0.01 D 0.02 E 0.03 F 0.04 G 0.05 H 0.06 I 0.07 J 0.08 K 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -2.5 0.0062 -2.4 0.0082 0.0084 -3.3 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 -2.7 0.0035 0.0034 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 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