A random variable follows the normal probability distribution with a mean of 126 and a standard deviation of 21 Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table ... a) What is the probability that a randomly selected value from this population is between 108 and 140? (Round to four decimal places as needed.) b) What is the probability that a randomly selected value from this population is between 130 and 160? (Round to four decimal places as needed.) c) What is the probability that a randomly selected value from this population is between 83 and 102? (Round to four decimal places as needed.) d) What is the probability that a randomly selected value from this population is between 119 and 176?
A random variable follows the normal probability distribution with a mean of 126 and a standard deviation of 21 Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table ... a) What is the probability that a randomly selected value from this population is between 108 and 140? (Round to four decimal places as needed.) b) What is the probability that a randomly selected value from this population is between 130 and 160? (Round to four decimal places as needed.) c) What is the probability that a randomly selected value from this population is between 83 and 102? (Round to four decimal places as needed.) d) What is the probability that a randomly selected value from this population is between 119 and 176?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution (page 1)
FIRST DIGIT OF Z
Z
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
0.00
0.02
0.03
0.04
0.0012 0.0012
0.0013
0.0019 0.0018
0.01
0.0013
0.0013
0.0017
0.0018
0.0016
0.0026 0.0025 0.0024 0.0023 0.0023
0.0035 0.0034 0.0033 0.0032 0.0031
0.0047 0.0045 0.0044 0.0043 0.0041
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052
0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094
0.0139
0.0179 0.0174 0.0170
0.0228 0.0222 0.0217
0.0287 0.0281 0.0274 0.0268
0.0125
0.0122
0.0136 0.0132 0.0129
0.0166
0.0162
0.0158
0.0212
0.0207 0.0202
0.0359
0.0351
0.0344
0.0336
0.0329
0.0446
0.0436 0.0427
0.0418
0.0262 0.0256
0.0322
0.0401
0.0495
0.0606 0.0594
0.0409
0.0548 0.0537
0.0526
0.0516 0.0505
0.0668
0.0655
0.0643 0.0630
0.0793 0.0778 0.0764
0.0618
0.0749
0.0808
0.0735
0.0721
0.0968
0.0951 0.0934 0.0918 0.0901
0.0885
0.0869
0.1151 0.1131
0.1093 0.1075
0.1357
0.1335
0.1292
0.1271
SECOND DIGIT OF Z
0.05
0.06
0.07
0.0011
0.0011 0.0011
0.0016
0.0015
0.0015
0.0022
0.0021
0.0021
0.0030 0.0029 0.0028
0.0040 0.0039 0.0038
0.0051
0.0068
0.0091 0.0089
0.0119
0.01 16
0.0154
0.0150
0.0146
0.0197 0.0192
0.0188
0.0250 0.0244 0.0239
0.0314 0.0307
0.0392 0.0384
0.0485 0.0475
0.1112
0.
0.1314
0.1056 0.1038
0.1251
0.1230
0.0582
0.0708
0.0853
0.1020
0.1210
0.08
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.09
0.0010
0.0014
0.0019
0.0026
0.0036
0.0048
0.1003
0.1190
0.0064
0.0084
0.01 10
0.0143
0.0183
0.0233
0.0301
0.0294
0.0375
0.0367
0.0465
0.0455
0.0571
0.0559
0.0694
0.0681
0.0838 0.0823
0.0985
0.1170
FIRST DIGIT OF Z
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
LIITT
-2.4
-2.3
-2.2
-2.1
-2.0
<-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
Transcribed Image Text:A random variable follows the normal probability distribution with a mean of 126 and a standard deviation of 21.
Complete parts (a) through (d) below.
Click here to view page 1 of the standard normal probability table.
Click here to view page 2 of the standard normal probability table
www
a) What is the probability that a randomly selected value from this population is between 108 and 140?
(Round to four decimal places as needed.)
b) What is the probability that a randomly selected value from this population is between 130 and 160?
(Round to four decimal places as needed.)
c) What is the probability that a randomly selected value from this population is between 83 and 102?
(Round to four decimal places as needed.)
d) What is the probability that a randomly selected value from this population is between 119 and 176?
(Round to four decimal places as needed.)
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