A film distribution manager calculates that 6 % of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 542 released films would be less than 8 % ? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tables

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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100%
A film distribution manager calculates that 6 % of the films released are flops.
If the manager is right, what is the probability that the proportion of flops in a sample of 542 released films would be less than 8 % ? Round your answer to four decimal
places.
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Transcribed Image Text:A film distribution manager calculates that 6 % of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 542 released films would be less than 8 % ? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tables
STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.
Z
.00
.01
.02
.03
.04
.06
.07
.08
-3.9 .00005 .00005 .00004
.00004
.00004
.00004
.00004
.00003
-3.8
.00007 .00007 .00007
.00006
.00006
.00006 .00005
.00005
-3.7
.00010
.00009
.00009
.00008 .00008 .00008
.00014
.00014
.00013
.00012
.00013 .00012
.00019 .00018 .00017
,00021
.00020
.00019
.00030 .00029
.00028 .00027
.00026 .00025
.00011 .00010 .00010
-3.6 .00016 .00015 .00015
-3.5 .00023 .00022 .00022
-3.4 .00034
.00032 .00031
-3.3 .00048 .00047 .00045
-3.2 .00069 .00066
-3.1 .00097
-3.0 .00135
.00064
.00052
.00043 .00042 .00040 .00039 .00038 .00036
.00062 .00060 .00058 .00056 .00054
.00084 .00082
.00118 .00114
.00094
.00090
.00087
.00079 .00076 .00074
.00131 .00126
.00122
.00107
.00104
.00111
.00164 .00159 .00154
.00212
.00149
.00144
.00205
.00199
.00280
.00272
.00391 .00379 .00368
-2.9 .00187 .00181 .00175
.00169
-2.8 .00256 .00248 .00240 .00233 ,00226 .00219
-2.7 .00347 .00336 .00326 .00317
.00307 .00298 .00289
-2.6 .00466 .00453 .00440 .00427 .00415 .00402
-2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494
-2.4 .00820 .00798 .00776 .00755 .00734 .00714
.00695
.00676 .00657
-2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866
.01321
.01287
.01255 .01222 .01191 .01160 .01130
-2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463
.02068 .02018 .01970 .01923
.02619 .02559 .02500 .02442 .02385
.03288 .03216
.03144
.04006 .03920 .03836 .03754
.04947
.06057 .05938 .05821
-2.2 .01390 .01355
-2.0 .02275 .02222
.02169
.02118
.01876
-1.9
.02872
.02807
.02743
.02680
-1.8
.03593 .03515
.03438
.03362
-1.7
04457 .04363
.04272
04182
.04093
05155
.04846 .04746
.04648
.05705
.07078 .06944
.08534 .08379
.07353 .07215
.08851 .08691
.10565
.12507 .12302 .12100
.14686
.14457
.17106 .16853
.19489
-1.6 .05480 .05370 .05262
.05050
-1.5 .06681 .06552 .06426 .06301 .06178
-1.4 .08076 .07927 .07780 .07636 .07493
-1.3 .09680 .09510 .09342 .09176 .09012
-1.2 .11507 .11314 .11123 .10935 .10749
-1.1 .13567 .13350 .13136 .12924 .12714
-1.0 .15866
.15625 .15386 .15151 .14917
-0.9 .18406 .18141 .17879 .17619 .17361
-0.8 .21186 .20897 .20611 .20327
-0.7 .24196 23885 .23576 .23270 .22965
27425
-0.6
.27093 .26763 .26435 .26109
-0.5 .30854 .30503
.10383 .10204 .10027
.11900
.14007
.16602 .16354
.20045
.19766
.19215 .18943
.22663
.22363 .22065
21770
.25785
.25463 25143 .24825
.30153 .29806
.29460
29116
.28774
28434 .28096
-0.4
.34458
.34090
.33724
.33360
.32997
.32636
.32276
.31918
.31561
-0.3
.38209
.37828
.37448
.37070
.36693
.36317
.35942
.35569
.35197
-0.2
.40129
.39743
.39358 .38974
.42074 .41683
.41294 .40905 ,40517
.46017 .45620 .45224 .44828 .44433
-0.1
.44038
.43644
.43251 .42858
-0.0
.50000
.49601 .49202
.48803 .48405
.48006
.47210
.47608
.46812
.05
.00004
.00006
.09
.00003
.00005
.00008
.00011
.00017
.00024
.00035
.00050
.00071
.00100
.00139
.00193
.00264
.00357
.00480
.00639
00842
.01101
.01426
.01831
.02330
.03074 .03005 .02938
.03673
.04551
.05592
.06811
.08226
.09853
.11702
.13786
.16109
.18673
.21476
.24510
.27760
.31207
.34827
.38591
.42465
46414
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .06 .07 .08 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00005 .00005 -3.7 .00010 .00009 .00009 .00008 .00008 .00008 .00014 .00014 .00013 .00012 .00013 .00012 .00019 .00018 .00017 ,00021 .00020 .00019 .00030 .00029 .00028 .00027 .00026 .00025 .00011 .00010 .00010 -3.6 .00016 .00015 .00015 -3.5 .00023 .00022 .00022 -3.4 .00034 .00032 .00031 -3.3 .00048 .00047 .00045 -3.2 .00069 .00066 -3.1 .00097 -3.0 .00135 .00064 .00052 .00043 .00042 .00040 .00039 .00038 .00036 .00062 .00060 .00058 .00056 .00054 .00084 .00082 .00118 .00114 .00094 .00090 .00087 .00079 .00076 .00074 .00131 .00126 .00122 .00107 .00104 .00111 .00164 .00159 .00154 .00212 .00149 .00144 .00205 .00199 .00280 .00272 .00391 .00379 .00368 -2.9 .00187 .00181 .00175 .00169 -2.8 .00256 .00248 .00240 .00233 ,00226 .00219 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .01321 .01287 .01255 .01222 .01191 .01160 .01130 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .02068 .02018 .01970 .01923 .02619 .02559 .02500 .02442 .02385 .03288 .03216 .03144 .04006 .03920 .03836 .03754 .04947 .06057 .05938 .05821 -2.2 .01390 .01355 -2.0 .02275 .02222 .02169 .02118 .01876 -1.9 .02872 .02807 .02743 .02680 -1.8 .03593 .03515 .03438 .03362 -1.7 04457 .04363 .04272 04182 .04093 05155 .04846 .04746 .04648 .05705 .07078 .06944 .08534 .08379 .07353 .07215 .08851 .08691 .10565 .12507 .12302 .12100 .14686 .14457 .17106 .16853 .19489 -1.6 .05480 .05370 .05262 .05050 -1.5 .06681 .06552 .06426 .06301 .06178 -1.4 .08076 .07927 .07780 .07636 .07493 -1.3 .09680 .09510 .09342 .09176 .09012 -1.2 .11507 .11314 .11123 .10935 .10749 -1.1 .13567 .13350 .13136 .12924 .12714 -1.0 .15866 .15625 .15386 .15151 .14917 -0.9 .18406 .18141 .17879 .17619 .17361 -0.8 .21186 .20897 .20611 .20327 -0.7 .24196 23885 .23576 .23270 .22965 27425 -0.6 .27093 .26763 .26435 .26109 -0.5 .30854 .30503 .10383 .10204 .10027 .11900 .14007 .16602 .16354 .20045 .19766 .19215 .18943 .22663 .22363 .22065 21770 .25785 .25463 25143 .24825 .30153 .29806 .29460 29116 .28774 28434 .28096 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 -0.2 .40129 .39743 .39358 .38974 .42074 .41683 .41294 .40905 ,40517 .46017 .45620 .45224 .44828 .44433 -0.1 .44038 .43644 .43251 .42858 -0.0 .50000 .49601 .49202 .48803 .48405 .48006 .47210 .47608 .46812 .05 .00004 .00006 .09 .00003 .00005 .00008 .00011 .00017 .00024 .00035 .00050 .00071 .00100 .00139 .00193 .00264 .00357 .00480 .00639 00842 .01101 .01426 .01831 .02330 .03074 .03005 .02938 .03673 .04551 .05592 .06811 .08226 .09853 .11702 .13786 .16109 .18673 .21476 .24510 .27760 .31207 .34827 .38591 .42465 46414
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