A variable is normally distributed with a mean of 15 and a standard deviation of 4. a. Find the percentage of all possible values of the variable that lie between 10 and 23.b. Find the percentage of all possible values of the variable that are at least 7.c. Find the percentage of all possible values of the variable that are at most 8. 0.09 0.080.07 0.06 0.050.04 0.03 0.020.010.000.0000*-3.90.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001-3.80.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001-3.70.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002-3.60.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002-3.50.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003-3.40.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005-330.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007-3.20.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010-3.10.0010 0.0010 0.0011 0.001l 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013-3.00.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019-2.9-2.80.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.00260.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035-2.7-2.60.0036 0.0037 0.0038 0.0039 0.0040 0.0041 0.0043 0.0044 0.0045 0.0047 A variable is normally distributed with mean 15 and standard deviation 4.a. Find the percentage of all possible values of the variable that lie between 10 and 23.b. Find the percentage of all possible values of the variable that are at least 7.c. Find the percentage of all possible values of the variable that are at most 8.Click here to view page 1 of the table of areas under the standard normal curve.Click here to view page 2 of the table of areas under the standard normal curve.a. The percentage of all possible values of the variable that lie between 10 and 23 is%.(Round to two decimal places as needed.)Enter your answer in the answer box and then click Check Answer.2 partsClear AllCheck Answerremainina.javascript:doExercise(1):

The random variable X follows normal distribution. The population mean is 15. The population…

Answered: A variable is normally distributed with…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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A variable is normally distributed with a mean of 15 and a standard deviation of 4.

a. Find the percentage of all possible values of the variable that lie between 10 and 23.

b. Find the percentage of all possible values of the variable that are at least 7.

c. Find the percentage of all possible values of the variable that are at most 8.

0.09 0.08
0.07 0.06 0.05
0.04 0.03 0.02
0.01
0.00
0.0000*
-3.9
0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001
-3.8
0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001
-3.7
0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002
-3.6
0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002
-3.5
0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
-3.4
0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005
-33
0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007
-3.2
0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010
-3.1
0.0010 0.0010 0.0011 0.001l 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013
-3.0
0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019
-2.9
-2.8
0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026
0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035
-2.7
-2.6
0.0036 0.0037 0.0038 0.0039 0.0040 0.0041 0.0043 0.0044 0.0045 0.0047

A variable is normally distributed with mean 15 and standard deviation 4.
a. Find the percentage of all possible values of the variable that lie between 10 and 23.
b. Find the percentage of all possible values of the variable that are at least 7.
c. Find the percentage of all possible values of the variable that are at most 8.
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
a. The percentage of all possible values of the variable that lie between 10 and 23 is
%.
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
2 parts
Clear All
Check Answer
remainina.
javascript:doExercise(1):

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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