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PLEASE MAKE A NORMAL DISTRIBUTION CURVE FOR THIS. DIGITAL ONLY NOT HANDWRITTEN

PLEASE MAKE A NORMAL DISTRIBUTION CURVE FOR THIS. DIGITAL ONLY NOT HANDWRITTEN

MATLAB: An Introduction with Applications
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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PLEASE MAKE A NORMAL DISTRIBUTION CURVE FOR THIS. DIGITAL ONLY NOT HANDWRITTEN

Given Mean(µ) = 65.33 standard deviation(6) = 31.59 sample size(n) = 7 Required probability is P x ≥ 50 P(T250) 50-μ - (²) = P = P(₁) 50-65.33 31.59 √7 = P(Z > -1.28) -1-P(2<-1.28) Pz≥ = 10.1003 from z table STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .02 .03 .05 .06 .07 .08 .00003 .00005 .00008 .00008 00012 00012 .00024 Z .00 .01 .04 -3.9 .00005 .00005 .00004 00004 .00004 .00004 .00004 .00004 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 00018 00017 -3.4 00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 -3.3 00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 -2.7 .00347 00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 -2.6 00466 .00453 .00440 .00427 .00402 .00391 -2.5 .00621 00604 .00587 .00570 .00539 .00523 .00695 .00050 .00071 .00100 .00139 .00193 .00264 .00357 .00415 .00554 .00379 .00368 .00508 .00676 .00657 .00494 .00480 .00776 .00755 .00734 .00714 .00639 01017 .00990 .00939 .00914 .00889 .00866 .00842 -2.4 .00820 .00798 -2.3 .01072 .01044 -2.2 01390 .01355 -2.1 .01786 .01743 01700 .01321 01287 .01191 .01160 .01130 .01101 01659 .01539 .01500 01463 .01426 -2.0 02275 .02222 02169 .02118 .01970 .01923 01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 02385 02330 -1.8 .03593 .03515 .03438 .03362 .03288 -1.7 04457 .04363 04272 04182 .04093 -1.6 .05480 .05370 05262 .06681 .06552 .06426 -1.5 .03216 .03144 .03074 .03005 .02938 04006 .03920 03836 .03754 .03673 .05155 .05050 .04947 04846 .04746 04648 .04551 .06301 .06178 .06057 .05938 .05821 .05705 05592 08076 .07927 .07780 .07636 .07493 07353 .07215 .07078 06944 .06811 09012 08851 .08691 08534 08379 08226 .10565 .10383 .10204 .10027 09853 -1.4 -1.3 .09680 .09510 .09342 09176 -1.2 .11507 .11314 .11123 .10935 .10749 = 0.8997 P(x ≥ 50) = 0.8997 .00964 01255 .01222 .01618 .02068 .01578 .02018 .09 .00003 .00005 .00008 .00011 .00017
Transcribed Image Text:Given Mean(µ) = 65.33 standard deviation(6) = 31.59 sample size(n) = 7 Required probability is P x ≥ 50 P(T250) 50-μ - (²) = P = P(₁) 50-65.33 31.59 √7 = P(Z > -1.28) -1-P(2<-1.28) Pz≥ = 10.1003 from z table STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .02 .03 .05 .06 .07 .08 .00003 .00005 .00008 .00008 00012 00012 .00024 Z .00 .01 .04 -3.9 .00005 .00005 .00004 00004 .00004 .00004 .00004 .00004 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 00018 00017 -3.4 00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 -3.3 00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 -2.7 .00347 00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 -2.6 00466 .00453 .00440 .00427 .00402 .00391 -2.5 .00621 00604 .00587 .00570 .00539 .00523 .00695 .00050 .00071 .00100 .00139 .00193 .00264 .00357 .00415 .00554 .00379 .00368 .00508 .00676 .00657 .00494 .00480 .00776 .00755 .00734 .00714 .00639 01017 .00990 .00939 .00914 .00889 .00866 .00842 -2.4 .00820 .00798 -2.3 .01072 .01044 -2.2 01390 .01355 -2.1 .01786 .01743 01700 .01321 01287 .01191 .01160 .01130 .01101 01659 .01539 .01500 01463 .01426 -2.0 02275 .02222 02169 .02118 .01970 .01923 01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 02385 02330 -1.8 .03593 .03515 .03438 .03362 .03288 -1.7 04457 .04363 04272 04182 .04093 -1.6 .05480 .05370 05262 .06681 .06552 .06426 -1.5 .03216 .03144 .03074 .03005 .02938 04006 .03920 03836 .03754 .03673 .05155 .05050 .04947 04846 .04746 04648 .04551 .06301 .06178 .06057 .05938 .05821 .05705 05592 08076 .07927 .07780 .07636 .07493 07353 .07215 .07078 06944 .06811 09012 08851 .08691 08534 08379 08226 .10565 .10383 .10204 .10027 09853 -1.4 -1.3 .09680 .09510 .09342 09176 -1.2 .11507 .11314 .11123 .10935 .10749 = 0.8997 P(x ≥ 50) = 0.8997 .00964 01255 .01222 .01618 .02068 .01578 .02018 .09 .00003 .00005 .00008 .00011 .00017
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