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To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 2. Surveys indicate that 60% of the vehicles in some metropolitan areas cause excessive emissions of pollutants. Transport Canada randomly selects 25 vehicles for inspection in one of these areas. You need to determine the probability that the number of vehicles causing unnecessary pollution is at least 10 but fewer than 14. a) Is normal approximation to the binomial distribution reasonable in this case? Justify. b) Determine the parameters of the normal approximation N(μ, σ)-? c) What continuity correction must be used with normal approximation?

To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 2. Surveys indicate that 60% of the vehicles in some metropolitan areas cause excessive emissions of pollutants. Transport Canada randomly selects 25 vehicles for inspection in one of these areas. You need to determine the probability that the number of vehicles causing unnecessary pollution is at least 10 but fewer than 14. a) Is normal approximation to the binomial distribution reasonable in this case? Justify. b) Determine the parameters of the normal approximation N(μ, σ)-? c) What continuity correction must be used with normal approximation?

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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Question

To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps.

Clearly explain and justify the solution using proper terminology and notation.

Please, I need your help. Thanks

2. Surveys indicate that 60% of the vehicles in some
metropolitan areas cause excessive emissions of
pollutants. Transport Canada randomly selects 25
vehicles for inspection in one of these areas.
You need to determine the probability that the
number of vehicles causing unnecessary pollution
is at least 10 but fewer than 14.

a) Is normal approximation to the binomial
distribution reasonable in this case? Justify.

b) Determine the parameters of the normal
approximation N(μ, σ)-?

c) What continuity correction must be used with
normal approximation?

d) Use Desmos normal distribution
to determine the required probability.

e) Use the original binomial distribution
to determine the required probability.

STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 82381 82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621 .91774 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056 .93189 1.5 .93319 .93448 .93574 93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246 .96327 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 .97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506 .99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801 .99807 2.9 .99813 .99819 .99825 .99831 99836 .99841 .99846 .99851 99856 .99861 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964 .99965 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 99974 .99975 .99976 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983 .99983 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988 .99989 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995 .99995 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997 .99997 a in
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586 0.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535 0.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409 0.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173 0.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439 .68793 0.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240 0.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490 0.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524 0.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327 0.9 .81594 .81859 .82121 82381 82639 .82894 .83147 .83398 83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621 .91774 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056 .93189 1.5 .93319 .93448 .93574 93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246 .96327 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 .97670 2.0 .97725 .97778 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506 .99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801 .99807 2.9 .99813 .99819 .99825 .99831 99836 .99841 .99846 .99851 99856 .99861 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99889 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964 .99965 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 99974 .99975 .99976 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983 .99983 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988 .99989 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995 .99995 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997 .99997 a in
STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012 .00011 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130 .01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705 .05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825 .24510 -0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 .31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974 .38591 -0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858 .42465 -0.0 .50000 .49601 .49202 .48803 .48405 48006 .47608 .47210 .46812 .46414
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.9 .00005 .00005 .00004 .00004 .00004 .00004 .00004 .00004 .00003 .00003 -3.8 .00007 .00007 .00007 .00006 .00006 .00006 .00006 .00005 .00005 .00005 -3.7 .00011 .00010 .00010 .00010 .00009 .00009 .00008 .00008 .00008 .00008 -3.6 .00016 .00015 .00015 .00014 .00014 .00013 .00013 .00012 .00012 .00011 -3.5 .00023 .00022 .00022 .00021 .00020 .00019 .00019 .00018 .00017 .00017 -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 .00048 .00047 .00045 .00043 .00042 .00040 .00039 .00038 .00036 .00035 -3.2 .00069 .00066 .00064 .00062 .00060 .00058 .00056 .00054 .00052 .00050 -3.1 .00097 .00094 .00090 .00087 .00084 .00082 .00079 .00076 .00074 .00071 -3.0 .00135 .00131 .00126 .00122 .00118 .00114 .00111 .00107 .00104 .00100 -2.9 .00187 .00181 .00175 .00169 .00164 .00159 .00154 .00149 .00144 .00139 -2.8 .00256 .00248 .00240 .00233 .00226 .00219 .00212 .00205 .00199 .00193 -2.7 .00347 .00336 .00326 .00317 .00307 .00298 .00289 .00280 .00272 .00264 -2.6 .00466 .00453 .00440 .00427 .00415 .00402 .00391 .00379 .00368 .00357 -2.5 .00621 .00604 .00587 .00570 .00554 .00539 .00523 .00508 .00494 .00480 -2.4 .00820 .00798 .00776 .00755 .00734 .00714 .00695 .00676 .00657 .00639 -2.3 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 .00866 .00842 -2.2 .01390 .01355 .01321 .01287 .01255 .01222 .01191 .01160 .01130 .01101 -2.1 .01786 .01743 .01700 .01659 .01618 .01578 .01539 .01500 .01463 .01426 -2.0 .02275 .02222 .02169 .02118 .02068 .02018 .01970 .01923 .01876 .01831 -1.9 .02872 .02807 .02743 .02680 .02619 .02559 .02500 .02442 .02385 .02330 -1.8 .03593 .03515 .03438 .03362 .03288 .03216 .03144 .03074 .03005 .02938 -1.7 .04457 .04363 .04272 .04182 .04093 .04006 .03920 .03836 .03754 .03673 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 .04746 .04648 .04551 -1.5 .06681 .06552 .06426 .06301 .06178 .06057 .05938 .05821 .05705 .05592 -1.4 .08076 .07927 .07780 .07636 .07493 .07353 .07215 .07078 .06944 .06811 -1.3 .09680 .09510 .09342 .09176 .09012 .08851 .08691 .08534 .08379 .08226 -1.2 .11507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 -1.1 .13567 .13350 .13136 .12924 .12714 .12507 .12302 .12100 .11900 .11702 -1.0 .15866 .15625 .15386 .15151 .14917 .14686 .14457 .14231 .14007 .13786 -0.9 .18406 .18141 .17879 .17619 .17361 .17106 .16853 .16602 .16354 .16109 -0.8 .21186 .20897 .20611 .20327 .20045 .19766 .19489 .19215 .18943 .18673 -0.7 .24196 .23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21476 -0.6 .27425 .27093 .26763 .26435 .26109 .25785 .25463 .25143 .24825 .24510 -0.5 .30854 .30503 .30153 .29806 .29460 .29116 .28774 .28434 .28096 .27760 -0.4 .34458 .34090 .33724 .33360 .32997 .32636 .32276 .31918 .31561 .31207 -0.3 .38209 .37828 .37448 .37070 .36693 .36317 .35942 .35569 .35197 .34827 -0.2 .42074 .41683 .41294 .40905 .40517 .40129 .39743 .39358 .38974 .38591 -0.1 .46017 .45620 .45224 .44828 .44433 .44038 .43644 .43251 .42858 .42465 -0.0 .50000 .49601 .49202 .48803 .48405 48006 .47608 .47210 .46812 .46414
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