Assume the random variable X is normally distributed with mean u = 50 and standard deviation a7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
Help6
Assume the random variable X is normally distributed with me
Tables of Areas under the Normal Curve
P(35 <X< 63)
ng to the probabil
Click the icon to view a table of areas under the normal
Standard Normal Distribution
00
.01
.02
03
04
05
07
08
09
Ares
-14
--U
-12
0.0003
0.0005
0.0007
0.0010
0.0003
0.0003
0.000S
0006
0.0003 0ms
0.0003
0.0004 0.0004
0.0006 00006
0.000
0.0011 0.0011
0.0003
0.0004
0.0006
0.0003
0.0005
0.0004
0.0004
0.0004
0.0007
0.0006
0.0009
a.0012
0.0005
0.0007
0.0005
Which of the following normal curves corresponds to P(35 <X
0.0009
0.0013
00009
0.0013
0.0008
0.0012
0.000
0.0011
0.0007
00010
-30
0.0013
O A.
-29
-28
--27
0.0019
0.0026
0.0035
0.0047
0.0062
0.0018
0.0025
0.0034
0.0017
0.0023
0.0032
0.0043 0.0041 0.0040 00039
0.0057
0.0016 0.0016 0.0015
0.0018
0.0004
0.0011
0015 0014
0.000
0.0 0.007 0.0006
0.0038 0037
0.0014
00019
00023 0.0022 001 amDo ap019
0.0021
0.0031 0m 0
0.0029
-26
-25
0.0045
0.0060
0.0044
0.0059
0.00
0.004
0.0055
0.0054
0.0052
0.0051
-24
-23
-22
0.00K
00107
00139
0.0078 0.00775
0.0102 0.0099
0.0132 a0129
00179 0.0174 0.0170 0.0166
0.0212
0.0080
0.0073
0.0096
0.0125
0.0071
0.0094
00122
0.0068
00066
0.0069
0,0091
00119
00064
0,004
0.0104
0.0089
0.0116
0.0087
0.0113
0.0136
0.0110
-21
0.0162
0.0207
0.0154
00197
0.0150
0.0192
0.0146
a0143
-20
0,0228
0.0222
0.0217
0.01
0.0287
0.0359
0.0281
0.0351
0.0436
0.0274 0.0268
0.0344
0.262
0.0336 00329
00256
00322
00401
0.0495
0.0606 0.0594
am44 0m39
0.0301
a.m33
0.0294
-L8
-17
-L6
-L5
0.0307
35
50
00446
0.0427
0.0526 0.0516 00505
0.0643
63
0.0418
a0384 0.075 a0367
0.0375
a0548
00668
a.0537
0.04RS 0.0475 0.0465 0.0455
63
0.0655
0.0630
0.0618
0.0582
0.0571
0.0559
P(35 <X< 63) =
-14
-13
-12
-11
-10
0.0778
0.0951 0934 0.0918
0.0793
0.0764
0.0749 00735 0.0721
0.0694
0.0681
0.0968
0.0901
0.09
(Round to four decimal places as needed.)
01151 0.1131 0.1112 0.1093 0.1075 01056 a1038
0.1335 0.1314 0.1292 0.1271
0.1539 0.1515 0.1492
0.1020
0.1210
a.1003
0.1190
0.1401
0.0985
01170
0.1357
01251
01469
0.1230
0.1446
0.1587 0.1562
01423
0.1379
-0.9
-08
-0.7
0.1841 0.1814 a1788 0.1762 a1736
0.2061 02033
0.2358 02327
02676
03015
01711
Q1660
0.1922
0.2206
0.1685
02119 02090
0.2420 02389
0.2743 02709
0.3085 03050
0.1635
0.1894
Q1611
Q1867
02177 0248
02005
01977
0.1949
0.2236
0.2546
0.2877
0.2296
0.2266
0.2145
02514 02AK3 02451
-06
02643
0.2611
0.2578
-05
02981
02946
02912
0.2843
02810 02776
-04
-0.3
-0.2
-0.1
0.3446
0.3372
03745
04129
04522
05000 0.4960 0.4920
03409
0.3821 03783
0.4168
04562
0336
0.3300
0.3264
03228
0.3632 03594
0.4013
03192 03156
0.3557
0.3520
0.3936
0.3897
0.4325 0.4286
03121
03483
0.3899
03707
0.3669
0.4090 0.4052
0.4483
0.4207
0.3974
0.4404 0.4364
0.4602
0.4443
-00
04880
0.4801 0.4761 04721 0.4681
04840
04641
AB A IA Aen
Print
Done
Transcribed Image Text:Assume the random variable X is normally distributed with me Tables of Areas under the Normal Curve P(35 <X< 63) ng to the probabil Click the icon to view a table of areas under the normal Standard Normal Distribution 00 .01 .02 03 04 05 07 08 09 Ares -14 --U -12 0.0003 0.0005 0.0007 0.0010 0.0003 0.0003 0.000S 0006 0.0003 0ms 0.0003 0.0004 0.0004 0.0006 00006 0.000 0.0011 0.0011 0.0003 0.0004 0.0006 0.0003 0.0005 0.0004 0.0004 0.0004 0.0007 0.0006 0.0009 a.0012 0.0005 0.0007 0.0005 Which of the following normal curves corresponds to P(35 <X 0.0009 0.0013 00009 0.0013 0.0008 0.0012 0.000 0.0011 0.0007 00010 -30 0.0013 O A. -29 -28 --27 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0017 0.0023 0.0032 0.0043 0.0041 0.0040 00039 0.0057 0.0016 0.0016 0.0015 0.0018 0.0004 0.0011 0015 0014 0.000 0.0 0.007 0.0006 0.0038 0037 0.0014 00019 00023 0.0022 001 amDo ap019 0.0021 0.0031 0m 0 0.0029 -26 -25 0.0045 0.0060 0.0044 0.0059 0.00 0.004 0.0055 0.0054 0.0052 0.0051 -24 -23 -22 0.00K 00107 00139 0.0078 0.00775 0.0102 0.0099 0.0132 a0129 00179 0.0174 0.0170 0.0166 0.0212 0.0080 0.0073 0.0096 0.0125 0.0071 0.0094 00122 0.0068 00066 0.0069 0,0091 00119 00064 0,004 0.0104 0.0089 0.0116 0.0087 0.0113 0.0136 0.0110 -21 0.0162 0.0207 0.0154 00197 0.0150 0.0192 0.0146 a0143 -20 0,0228 0.0222 0.0217 0.01 0.0287 0.0359 0.0281 0.0351 0.0436 0.0274 0.0268 0.0344 0.262 0.0336 00329 00256 00322 00401 0.0495 0.0606 0.0594 am44 0m39 0.0301 a.m33 0.0294 -L8 -17 -L6 -L5 0.0307 35 50 00446 0.0427 0.0526 0.0516 00505 0.0643 63 0.0418 a0384 0.075 a0367 0.0375 a0548 00668 a.0537 0.04RS 0.0475 0.0465 0.0455 63 0.0655 0.0630 0.0618 0.0582 0.0571 0.0559 P(35 <X< 63) = -14 -13 -12 -11 -10 0.0778 0.0951 0934 0.0918 0.0793 0.0764 0.0749 00735 0.0721 0.0694 0.0681 0.0968 0.0901 0.09 (Round to four decimal places as needed.) 01151 0.1131 0.1112 0.1093 0.1075 01056 a1038 0.1335 0.1314 0.1292 0.1271 0.1539 0.1515 0.1492 0.1020 0.1210 a.1003 0.1190 0.1401 0.0985 01170 0.1357 01251 01469 0.1230 0.1446 0.1587 0.1562 01423 0.1379 -0.9 -08 -0.7 0.1841 0.1814 a1788 0.1762 a1736 0.2061 02033 0.2358 02327 02676 03015 01711 Q1660 0.1922 0.2206 0.1685 02119 02090 0.2420 02389 0.2743 02709 0.3085 03050 0.1635 0.1894 Q1611 Q1867 02177 0248 02005 01977 0.1949 0.2236 0.2546 0.2877 0.2296 0.2266 0.2145 02514 02AK3 02451 -06 02643 0.2611 0.2578 -05 02981 02946 02912 0.2843 02810 02776 -04 -0.3 -0.2 -0.1 0.3446 0.3372 03745 04129 04522 05000 0.4960 0.4920 03409 0.3821 03783 0.4168 04562 0336 0.3300 0.3264 03228 0.3632 03594 0.4013 03192 03156 0.3557 0.3520 0.3936 0.3897 0.4325 0.4286 03121 03483 0.3899 03707 0.3669 0.4090 0.4052 0.4483 0.4207 0.3974 0.4404 0.4364 0.4602 0.4443 -00 04880 0.4801 0.4761 04721 0.4681 04840 04641 AB A IA Aen Print Done
Assume the random variable X is normally distributed with mean u = 50 and standard deviation a7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.
P(35 <X<63)
Click the icon to view a table of areas under the normal curve.
Which of the following normal curves corresponds to P(35 <X<63)?
O A.
OB.
Oc.
35
63
P(35 <X<63)=D
(Round to four decimal places as needed.)
rt
Transcribed Image Text:Assume the random variable X is normally distributed with mean u = 50 and standard deviation a7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35 <X<63) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(35 <X<63)? O A. OB. Oc. 35 63 P(35 <X<63)=D (Round to four decimal places as needed.) rt
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