For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation o and indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The probability is 0.159. (Round to three decimal places as needed.) Sketch the normal curve with mean μ and standard deviation and indicate the area corresponding to the probability. Choose the correct graph below. O A. μ-30 O C. μ-20 μ-30 μ-20 P-O μ-a T P μ+a μ+20 + 30 P μ+o Q +20 + 30 b. Find the probability that an observation is at least 1 standard deviation below the mean. ~ The probability is. (Round to three decimal places as needed.) B. B. μ-30 O D. T μ-20 μ-a μ-30 μ-20 P-O T P P p+o μ+o Q ✔ +20 + 30 Q +20 + 30

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Author:Amos Gilat
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Question 3, 6.2.16

 

0
2
-5.0
-4.5
-4.0
-3.5
.00
.000000287
.00000340
.0000317
.000233
Cumulative
probability
Z
.00
.01
.0003
.0005
.02
.0003
.0005
.03
Cumulative probability for z is the area under
the standard normal curve to the left of z
.05
.07
.08
.09
0003
.0003
.0003
.0003
.0002
0004 .0004 .0004
.0004
.0003
0006 0006
.0005
.0005
.0005
0008 .0007
.0007
0011 .0010
.0010
.0008 0008
.0012 .0011 .0011
.0016 .0016 .0015
.0023 .0022
.0021 .0021 0020
0015
0014
.0014
0019
0026
.0031 .0030 .0029 .0028 .0027
.0038 .0037
.0051 .0049
.0041
0036
.0040 .0039
.0054 .0052
.0055
.0048
.0073
.0071
.0069
.0068 .0066 .0064
.0096 .0094
.0091
.0089
.0087
.0084
.0125
0122
.0119
.0116 .0113
.0110
.0162
.0158 .0154 0150 .0146
.0143
.04
-3.4
.0003
.0003
0003
-3.3 .0005
.0004
.0004
-3.2 .0007
.0007 .0006 .0006 .0006
-3.1
.0010
-3.0
.0009 .0009 .0009 .0008
.0013 .0013 .0012
.0017
-2.9
.0018 .0018
.0013
.0019
.0026
-2.7 .0035 .0034 .0033
-28
.0025 .0024
.0023
.0032
-26
.0047
.0045 .0044
.0043
-2.5
.0062
.0060 .0059 .0057
-2.4
0082 .0080
.0078 .0075
0102 .0099
-2.3
0104
0107
-2.2 .0139 0136
.0132
.01 29
-2.1 .0179 0174
0170
.0166
.06
Transcribed Image Text:0 2 -5.0 -4.5 -4.0 -3.5 .00 .000000287 .00000340 .0000317 .000233 Cumulative probability Z .00 .01 .0003 .0005 .02 .0003 .0005 .03 Cumulative probability for z is the area under the standard normal curve to the left of z .05 .07 .08 .09 0003 .0003 .0003 .0003 .0002 0004 .0004 .0004 .0004 .0003 0006 0006 .0005 .0005 .0005 0008 .0007 .0007 0011 .0010 .0010 .0008 0008 .0012 .0011 .0011 .0016 .0016 .0015 .0023 .0022 .0021 .0021 0020 0015 0014 .0014 0019 0026 .0031 .0030 .0029 .0028 .0027 .0038 .0037 .0051 .0049 .0041 0036 .0040 .0039 .0054 .0052 .0055 .0048 .0073 .0071 .0069 .0068 .0066 .0064 .0096 .0094 .0091 .0089 .0087 .0084 .0125 0122 .0119 .0116 .0113 .0110 .0162 .0158 .0154 0150 .0146 .0143 .04 -3.4 .0003 .0003 0003 -3.3 .0005 .0004 .0004 -3.2 .0007 .0007 .0006 .0006 .0006 -3.1 .0010 -3.0 .0009 .0009 .0009 .0008 .0013 .0013 .0012 .0017 -2.9 .0018 .0018 .0013 .0019 .0026 -2.7 .0035 .0034 .0033 -28 .0025 .0024 .0023 .0032 -26 .0047 .0045 .0044 .0043 -2.5 .0062 .0060 .0059 .0057 -2.4 0082 .0080 .0078 .0075 0102 .0099 -2.3 0104 0107 -2.2 .0139 0136 .0132 .01 29 -2.1 .0179 0174 0170 .0166 .06
For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation o and
indicate the area corresponding to the probability.
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
The probability is 0.159.
(Round to three decimal places as needed.)
Sketch the normal curve with mean μ and standard deviation and indicate the area corresponding to the probability. Choose the correct graph below.
O A.
μ-30
μ-20
μ-30 μ-20
T
o-n
o-n
T
μ
r
H+O
μ + 2σ μ + 30
μ+o μ + 2σ μ + 30
b. Find the probability that an observation is at least 1 standard deviation below the mean.
The probability is.
(Round to three decimal places as needed.)
B.
μ-30
μ-30
μ-20 μ-σ
H-20
μ-σ
T
μ
T
μ
μ+o μ + 2σ μ + 30
μ+σ
μ+2σ μ + 30
Transcribed Image Text:For a normal distribution, use a standard normal distribution table or technology to complete parts a through c. For each part, sketch the normal curve with mean μ and standard deviation o and indicate the area corresponding to the probability. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The probability is 0.159. (Round to three decimal places as needed.) Sketch the normal curve with mean μ and standard deviation and indicate the area corresponding to the probability. Choose the correct graph below. O A. μ-30 μ-20 μ-30 μ-20 T o-n o-n T μ r H+O μ + 2σ μ + 30 μ+o μ + 2σ μ + 30 b. Find the probability that an observation is at least 1 standard deviation below the mean. The probability is. (Round to three decimal places as needed.) B. μ-30 μ-30 μ-20 μ-σ H-20 μ-σ T μ T μ μ+o μ + 2σ μ + 30 μ+σ μ+2σ μ + 30
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