Solusi - Probabilitas kumulatif dalam distribusi normal standar
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Probabilitas kumulatif dalam distribusi normal standarPenjelasan langkah demi langkah
1. Find the cumulative probability of the z-scores values up to
Usa la tabla z positiva para encontrar el valor correspondiente a . Este valor es la probabilidad acumulativa del área a la izquierda de .
Z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
0,0 | 5 | 50399 | 50798 | 51197 | 51595 | 51994 | 52392 | 5279 | 53188 | 53586 |
0,1 | 53983 | 5438 | 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 | 6293 | 63307 | 63683 | 64058 | 64431 | 64803 | 65173 |
0,4 | 65542 | 6591 | 66276 | 6664 | 67003 | 67364 | 67724 | 68082 | 68439 | 68793 |
0,5 | 69146 | 69497 | 69847 | 70194 | 7054 | 70884 | 71226 | 71566 | 71904 | 7224 |
0,6 | 72575 | 72907 | 73237 | 73565 | 73891 | 74215 | 74537 | 74857 | 75175 | 7549 |
0,7 | 75804 | 76115 | 76424 | 7673 | 77035 | 77337 | 77637 | 77935 | 7823 | 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 | 8665 | 86864 | 87076 | 87286 | 87493 | 87698 | 879 | 881 | 88298 |
1,2 | 88493 | 88686 | 88877 | 89065 | 89251 | 89435 | 89617 | 89796 | 89973 | 90147 |
1,3 | 9032 | 9049 | 90658 | 90824 | 90988 | 91149 | 91308 | 91466 | 91621 | 91774 |
1,4 | 91924 | 92073 | 9222 | 92364 | 92507 | 92647 | 92785 | 92922 | 93056 | 93189 |
1,5 | 93319 | 93448 | 93574 | 93699 | 93822 | 93943 | 94062 | 94179 | 94295 | 94408 |
1,6 | 9452 | 9463 | 94738 | 94845 | 9495 | 95053 | 95154 | 95254 | 95352 | 95449 |
1,7 | 95543 | 95637 | 95728 | 95818 | 95907 | 95994 | 9608 | 96164 | 96246 | 96327 |
1,8 | 96407 | 96485 | 96562 | 96638 | 96712 | 96784 | 96856 | 96926 | 96995 | 97062 |
1,9 | 97128 | 97193 | 97257 | 9732 | 97381 | 97441 | 975 | 97558 | 97615 | 9767 |
2,0 | 97725 | 97778 | 97831 | 97882 | 97932 | 97982 | 9803 | 98077 | 98124 | 98169 |
2,1 | 98214 | 98257 | 983 | 98341 | 98382 | 98422 | 98461 | 985 | 98537 | 98574 |
2,2 | 9861 | 98645 | 98679 | 98713 | 98745 | 98778 | 98809 | 9884 | 9887 | 98899 |
2,3 | 98928 | 98956 | 98983 | 9901 | 99036 | 99061 | 99086 | 99111 | 99134 | 99158 |
2,4 | 9918 | 99202 | 99224 | 99245 | 99266 | 99286 | 99305 | 99324 | 99343 | 99361 |
2,5 | 99379 | 99396 | 99413 | 9943 | 99446 | 99461 | 99477 | 99492 | 99506 | 9952 |
2,6 | 99534 | 99547 | 9956 | 99573 | 99585 | 99598 | 99609 | 99621 | 99632 | 99643 |
2,7 | 99653 | 99664 | 99674 | 99683 | 99693 | 99702 | 99711 | 9972 | 99728 | 99736 |
2,8 | 99744 | 99752 | 9976 | 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 | 999 |
3,1 | 99903 | 99906 | 9991 | 99913 | 99916 | 99918 | 99921 | 99924 | 99926 | 99929 |
3,2 | 99931 | 99934 | 99936 | 99938 | 9994 | 99942 | 99944 | 99946 | 99948 | 9995 |
3,3 | 99952 | 99953 | 99955 | 99957 | 99958 | 9996 | 99961 | 99962 | 99964 | 99965 |
3,4 | 99966 | 99968 | 99969 | 9997 | 99971 | 99972 | 99973 | 99974 | 99975 | 99976 |
3,5 | 99977 | 99978 | 99978 | 99979 | 9998 | 99981 | 99981 | 99982 | 99983 | 99983 |
3,6 | 99984 | 99985 | 99985 | 99986 | 99986 | 99987 | 99987 | 99988 | 99988 | 99989 |
3,7 | 99989 | 9999 | 9999 | 9999 | 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 |
Un puntaje z de corresponde a un área de
La probabilidad acumulativa de que sea
2. den büyük z-skoru değerlerinin kümülatif olasılığını bulun
Para encontrar la probabilidad acumulativa de los valores mayores que , necesitamos restar la probabilidad acumulativa de los valores menos que de la probabilidad total bajo la curva, que es igual a :
La probabilidad acumulativa de es
3. kadar z-skoru değerlerinin kümülatif olasılığını bulun
Usa la tabla z-positiva para encontrar el valor correspondiente a . Este valor es la probabilidad acumulativa del área a la izquierda de .
Z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
0,0 | 5 | 50399 | 50798 | 51197 | 51595 | 51994 | 52392 | 5279 | 53188 | 53586 |
0,1 | 53983 | 5438 | 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 | 6293 | 63307 | 63683 | 64058 | 64431 | 64803 | 65173 |
0,4 | 65542 | 6591 | 66276 | 6664 | 67003 | 67364 | 67724 | 68082 | 68439 | 68793 |
0,5 | 69146 | 69497 | 69847 | 70194 | 7054 | 70884 | 71226 | 71566 | 71904 | 7224 |
0,6 | 72575 | 72907 | 73237 | 73565 | 73891 | 74215 | 74537 | 74857 | 75175 | 7549 |
0,7 | 75804 | 76115 | 76424 | 7673 | 77035 | 77337 | 77637 | 77935 | 7823 | 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 | 8665 | 86864 | 87076 | 87286 | 87493 | 87698 | 879 | 881 | 88298 |
1,2 | 88493 | 88686 | 88877 | 89065 | 89251 | 89435 | 89617 | 89796 | 89973 | 90147 |
1,3 | 9032 | 9049 | 90658 | 90824 | 90988 | 91149 | 91308 | 91466 | 91621 | 91774 |
1,4 | 91924 | 92073 | 9222 | 92364 | 92507 | 92647 | 92785 | 92922 | 93056 | 93189 |
1,5 | 93319 | 93448 | 93574 | 93699 | 93822 | 93943 | 94062 | 94179 | 94295 | 94408 |
1,6 | 9452 | 9463 | 94738 | 94845 | 9495 | 95053 | 95154 | 95254 | 95352 | 95449 |
1,7 | 95543 | 95637 | 95728 | 95818 | 95907 | 95994 | 9608 | 96164 | 96246 | 96327 |
1,8 | 96407 | 96485 | 96562 | 96638 | 96712 | 96784 | 96856 | 96926 | 96995 | 97062 |
1,9 | 97128 | 97193 | 97257 | 9732 | 97381 | 97441 | 975 | 97558 | 97615 | 9767 |
2,0 | 97725 | 97778 | 97831 | 97882 | 97932 | 97982 | 9803 | 98077 | 98124 | 98169 |
2,1 | 98214 | 98257 | 983 | 98341 | 98382 | 98422 | 98461 | 985 | 98537 | 98574 |
2,2 | 9861 | 98645 | 98679 | 98713 | 98745 | 98778 | 98809 | 9884 | 9887 | 98899 |
2,3 | 98928 | 98956 | 98983 | 9901 | 99036 | 99061 | 99086 | 99111 | 99134 | 99158 |
2,4 | 9918 | 99202 | 99224 | 99245 | 99266 | 99286 | 99305 | 99324 | 99343 | 99361 |
2,5 | 99379 | 99396 | 99413 | 9943 | 99446 | 99461 | 99477 | 99492 | 99506 | 9952 |
2,6 | 99534 | 99547 | 9956 | 99573 | 99585 | 99598 | 99609 | 99621 | 99632 | 99643 |
2,7 | 99653 | 99664 | 99674 | 99683 | 99693 | 99702 | 99711 | 9972 | 99728 | 99736 |
2,8 | 99744 | 99752 | 9976 | 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 | 999 |
3,1 | 99903 | 99906 | 9991 | 99913 | 99916 | 99918 | 99921 | 99924 | 99926 | 99929 |
3,2 | 99931 | 99934 | 99936 | 99938 | 9994 | 99942 | 99944 | 99946 | 99948 | 9995 |
3,3 | 99952 | 99953 | 99955 | 99957 | 99958 | 9996 | 99961 | 99962 | 99964 | 99965 |
3,4 | 99966 | 99968 | 99969 | 9997 | 99971 | 99972 | 99973 | 99974 | 99975 | 99976 |
3,5 | 99977 | 99978 | 99978 | 99979 | 9998 | 99981 | 99981 | 99982 | 99983 | 99983 |
3,6 | 99984 | 99985 | 99985 | 99986 | 99986 | 99987 | 99987 | 99988 | 99988 | 99989 |
3,7 | 99989 | 9999 | 9999 | 9999 | 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 |
Una puntuación z de corresponde a un área de
La probabilidad acumulativa de que es
4. Calculate 2.2 and 0.82, the cumulative probability of values greater than and less than respectively
Add the cumulative probability of the area to the right of the higher z-score (everything to the right of ) to the cumulative probability of the area to the left of the lower z-score (everything to the left of
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