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Assume that Z is a number randomly chosen from a standard normal distribution. Use the standard normal table to calculate each of the following probabilities: a. Pr[Z>1.34] b. Pr[Z<1.34] c. Pr[Z>2.15]

Assume that Z is a number randomly chosen from a standard normal distribution. Use the standard normal table to calculate each of the following probabilities: a. Pr[Z>1.34] b. Pr[Z<1.34] c. Pr[Z>2.15]

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Assume that Z is a number randomly chosen from a standard normal distribution. Use the standard normal table to calculate each of the following probabilities:

a. Pr[Z>1.34]
b. Pr[Z<1.34]
c. Pr[Z>2.15]
d. Pr[Z<1.2]
e. Pr[0.52<Z<2.34]
f. Pr[-2.34<Z<-0.52]
g. Pr[Z<-0.93]
h. Pr[Z>-0.93]
i. Pr-1.57<Z<-0.32]

2.0 99 2.5 25 2.7 3.0 3.1 65 3.5 3.7 0.05420 0.04457 0.03593 0.02872 0.02275 0.01706 0.01990 0.01072 0.00820 0.00021 0.00466 0.00847 0.00256 0.00107 0.00135 0.00097 0.00069 0.00040 0.00034 0.00023 0.00016 0.00011 0.00007 0.00005 0.00003 0.05370 0.04363 0.03515 0.02807 0.02222 0.01743 0.01365 0.01044 0.00792 0.00604 0.00453 0.00936 0.00240 0.00181 0.00131 0.00094 0.00066 0.00047 0.00032 0.00022 0.00015 0.00010 0.00007 0.00005 0.00003 0.05262 0.04272 0.02743 0.02169 0.01700 0.01321 0.01017 0.00776 0.00587 0.00440 0.00326 0.00240 0.00175 0.00126 0.00090 0.00044 0.00045 0.00031 0.00022 0.00015 0.00010 0.00007 0.00004 0.00003 0.05155 0.04182 0.03362 0.02600 0.02110 0.01659 0.01297 0.00990 0.00755 0.00570 0.00427 0.00317 0.00233 0.00169 0.00122 0.00027 0.00062 0.00043 0.00030 0.00021 0.00014 0.00010 0.00006 0.00004 0.00003 0.05050 0.04093 0.03280 0.02619 0.02060 0.01255 0.00964 0.00734 0.00554 0.00415 0.00307 0.00226 0.00164 0.00110 0.00004 0.00060 0.00042 0.00029 0.00020 0.00014 0.00009 0.00006 0.00004 0.00003 0.04947 0.04006 0.03216 0.02559 0.02018 0.01570 0.01222 0.00939 0.00714 0.00539 0.00402 0.00290 0.00219 0.00159 0.00114 0.00002 0.00058 0.00040 0.00028 0.00019 0.00013 0.00009 0.00006 0.00004 0.00003 0.04946 0.03920 0.02500 0.01970 0.01539 0.01191 0.00914 0.00695 0.00523 0.00391 0.00209 0.00212 0.00154 0.00111 0.00079 0.00056 0.00039 0.00027 0.00019 0.00013 0.00000 0.00006 0.00004 0.00002 0.04746 0.03896 0.03074 0.02442 0.01923 0.01500 0.01160 0.00099 0.00676 0.00500 0.00379 0.00200 0.00205 0.00149 0.00107 0.00076 0.00054 0.00089 0.00026 0.00010 0.00012 0.00000 0.00005 0.00004 0.00002 0.04648 0.03754 0.03005 0.02305 0.01076 0.01130 0.00066 0.00657 0.00494 0.00368 0.00272 0.00199 0.00144 0.00104 0.00074 0.00052 0.00096 0.00025 0.00017 0.00012 0.00000 0.00005 0.00008 0.00002 0.04551 0.03673 0.02938 0.02330 0.01031 0.01426 0.01101 0.00042 0.00639 0.00400 0.00357 0.00264 0.00193 0.00139 0.00100 0.00071 0.00050 0.00035 0.00024 0.00017 0.00011 0.00000 0.00005 0.00003 0.00002
Transcribed Image Text:2.0 99 2.5 25 2.7 3.0 3.1 65 3.5 3.7 0.05420 0.04457 0.03593 0.02872 0.02275 0.01706 0.01990 0.01072 0.00820 0.00021 0.00466 0.00847 0.00256 0.00107 0.00135 0.00097 0.00069 0.00040 0.00034 0.00023 0.00016 0.00011 0.00007 0.00005 0.00003 0.05370 0.04363 0.03515 0.02807 0.02222 0.01743 0.01365 0.01044 0.00792 0.00604 0.00453 0.00936 0.00240 0.00181 0.00131 0.00094 0.00066 0.00047 0.00032 0.00022 0.00015 0.00010 0.00007 0.00005 0.00003 0.05262 0.04272 0.02743 0.02169 0.01700 0.01321 0.01017 0.00776 0.00587 0.00440 0.00326 0.00240 0.00175 0.00126 0.00090 0.00044 0.00045 0.00031 0.00022 0.00015 0.00010 0.00007 0.00004 0.00003 0.05155 0.04182 0.03362 0.02600 0.02110 0.01659 0.01297 0.00990 0.00755 0.00570 0.00427 0.00317 0.00233 0.00169 0.00122 0.00027 0.00062 0.00043 0.00030 0.00021 0.00014 0.00010 0.00006 0.00004 0.00003 0.05050 0.04093 0.03280 0.02619 0.02060 0.01255 0.00964 0.00734 0.00554 0.00415 0.00307 0.00226 0.00164 0.00110 0.00004 0.00060 0.00042 0.00029 0.00020 0.00014 0.00009 0.00006 0.00004 0.00003 0.04947 0.04006 0.03216 0.02559 0.02018 0.01570 0.01222 0.00939 0.00714 0.00539 0.00402 0.00290 0.00219 0.00159 0.00114 0.00002 0.00058 0.00040 0.00028 0.00019 0.00013 0.00009 0.00006 0.00004 0.00003 0.04946 0.03920 0.02500 0.01970 0.01539 0.01191 0.00914 0.00695 0.00523 0.00391 0.00209 0.00212 0.00154 0.00111 0.00079 0.00056 0.00039 0.00027 0.00019 0.00013 0.00000 0.00006 0.00004 0.00002 0.04746 0.03896 0.03074 0.02442 0.01923 0.01500 0.01160 0.00099 0.00676 0.00500 0.00379 0.00200 0.00205 0.00149 0.00107 0.00076 0.00054 0.00089 0.00026 0.00010 0.00012 0.00000 0.00005 0.00004 0.00002 0.04648 0.03754 0.03005 0.02305 0.01076 0.01130 0.00066 0.00657 0.00494 0.00368 0.00272 0.00199 0.00144 0.00104 0.00074 0.00052 0.00096 0.00025 0.00017 0.00012 0.00000 0.00005 0.00008 0.00002 0.04551 0.03673 0.02938 0.02330 0.01031 0.01426 0.01101 0.00042 0.00639 0.00400 0.00357 0.00264 0.00193 0.00139 0.00100 0.00071 0.00050 0.00035 0.00024 0.00017 0.00011 0.00000 0.00005 0.00003 0.00002
First two digits of a. bc 0.5 0.7 1.5 1.7 2.3 0.21106 0.18406 0.15066 0.13567 0.11507 0.09600 0.00076 0.06601 0.05400 0.04457 0.09593 0.02872 0.02275 0.01726 0.01990 0.01072 0.20097 0.10141 0.15625 0.13350 0.11314 0.09510 0.07927 0.06552 0.05370 0.04363 0.03515 0.02807 0.02222 0.01743 0.01365 0.01044 0.5 0.48017 0.42074 0.38209 0.34450 0.30254 0.27425 0.24196 0.49601 0.45620 0.41603 0.37028 0.34090 0.30508 0.27093 0.23005 0.20611 0.17079 0.15306 0.13136 0.11123 0.09342 0.07780 0.06426 1 0.05262 0.04272 0.03438 0.02743 0.02169 0.01700 0.01321 0.01017 = 1-NORM.DIST (1.96,0,1, TRUE) 2 0.49202 0.45224 0.37442 0.33724 0.30153 0.26763 0.23576 0.20327 0.17619 0.18151 0.10935 0.09176 0.07636 0.06301 0.05155 0.08362 0.02620 0.02110 0.01659 0.01207 0.00990 3 0.40003 0.44928 0.40905 0.37070 0.33360 0.29006 0.26435 0.23270 0.17361 0.14917 0.12714 0.10749 0.09012 0.07493 0.06170 0.05050 0.04093 0.03280 0.02619 0.02062 0.01610 0.01255 0.00944 Second digit after decimal (c) 4 0.40405 0.44433 0.40517 0.36693 0.32997 0.29460 0.26109 0.22945 0.19766 0.17106 0.14606 0.12507 0.10565 0.07353 0.06057 0.04947 0.04006 0.03216 0.02569 0.02018 0.01578 0.01222 0.00939 5 0.40006 0.44038 0.40129 0.36317 0.32636 0.29116 0.25725 0.22663 0.19409 0.16053 0.14457 0.12302 0.10303 0.00691 0.07215 0.05930 0.04946 0.03920 0.08144 0.02500 0.01970 0.01539 0.01191 0.00914 6 0.47600 0.43644 0.39743 0.35942 0.32276 0.20774 0.25463 0.43251 0.39360 0.35569 0.31910 0.25143 0.22065 0.19215 0.16602 0.12100 0.10204 0.00594 0.07070 0.08021 0.04746 0.03896 7 0.03074 0.00099 0.01923 0.01500 0.01100 0.46012 0.42050 8 0.38974 0.35197 0.31561 0.20096 0.21770 0.10943 0.16354 0.14007 0.11900 0.10027 0.00379 0.06944 0.05705 0.04640 0.03754 0.03005 0.02305 0.01076 0.01463 0.01130 0.00066 9 0.42465 0.30591 0.34027 0.31207 0.27760 0.24510 0.21476 0.10673 0.16109 0.13706 0.11702 0.09253 0.00226 0.00011 0.05592 0.04551 0.03673 0.02938 0.02330 0.01031 0.01426 0.01101 0.00042
Transcribed Image Text:First two digits of a. bc 0.5 0.7 1.5 1.7 2.3 0.21106 0.18406 0.15066 0.13567 0.11507 0.09600 0.00076 0.06601 0.05400 0.04457 0.09593 0.02872 0.02275 0.01726 0.01990 0.01072 0.20097 0.10141 0.15625 0.13350 0.11314 0.09510 0.07927 0.06552 0.05370 0.04363 0.03515 0.02807 0.02222 0.01743 0.01365 0.01044 0.5 0.48017 0.42074 0.38209 0.34450 0.30254 0.27425 0.24196 0.49601 0.45620 0.41603 0.37028 0.34090 0.30508 0.27093 0.23005 0.20611 0.17079 0.15306 0.13136 0.11123 0.09342 0.07780 0.06426 1 0.05262 0.04272 0.03438 0.02743 0.02169 0.01700 0.01321 0.01017 = 1-NORM.DIST (1.96,0,1, TRUE) 2 0.49202 0.45224 0.37442 0.33724 0.30153 0.26763 0.23576 0.20327 0.17619 0.18151 0.10935 0.09176 0.07636 0.06301 0.05155 0.08362 0.02620 0.02110 0.01659 0.01207 0.00990 3 0.40003 0.44928 0.40905 0.37070 0.33360 0.29006 0.26435 0.23270 0.17361 0.14917 0.12714 0.10749 0.09012 0.07493 0.06170 0.05050 0.04093 0.03280 0.02619 0.02062 0.01610 0.01255 0.00944 Second digit after decimal (c) 4 0.40405 0.44433 0.40517 0.36693 0.32997 0.29460 0.26109 0.22945 0.19766 0.17106 0.14606 0.12507 0.10565 0.07353 0.06057 0.04947 0.04006 0.03216 0.02569 0.02018 0.01578 0.01222 0.00939 5 0.40006 0.44038 0.40129 0.36317 0.32636 0.29116 0.25725 0.22663 0.19409 0.16053 0.14457 0.12302 0.10303 0.00691 0.07215 0.05930 0.04946 0.03920 0.08144 0.02500 0.01970 0.01539 0.01191 0.00914 6 0.47600 0.43644 0.39743 0.35942 0.32276 0.20774 0.25463 0.43251 0.39360 0.35569 0.31910 0.25143 0.22065 0.19215 0.16602 0.12100 0.10204 0.00594 0.07070 0.08021 0.04746 0.03896 7 0.03074 0.00099 0.01923 0.01500 0.01100 0.46012 0.42050 8 0.38974 0.35197 0.31561 0.20096 0.21770 0.10943 0.16354 0.14007 0.11900 0.10027 0.00379 0.06944 0.05705 0.04640 0.03754 0.03005 0.02305 0.01076 0.01463 0.01130 0.00066 9 0.42465 0.30591 0.34027 0.31207 0.27760 0.24510 0.21476 0.10673 0.16109 0.13706 0.11702 0.09253 0.00226 0.00011 0.05592 0.04551 0.03673 0.02938 0.02330 0.01031 0.01426 0.01101 0.00042
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