use the attached z score table if needed to answer questions please

question:

probability of successfully passing test is 78%

60 students taking this test

1. use a normal approximation for this binomial distribution
2. compute the mean and standard deviation
3. use normal approximation to find probability that in a sample of 60 students, exactly 50 pass the test?
   

STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. Z .00 .01 .02 .03 .04 .05 -06 -07 -08 0.0 .50000 50399 50798 51197 51595 51994 .52392 .52790 .53188 53586 0,1 .53983 54380 54376 $5172 $5567 $5962 56356 56749 57142 $7535 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 .98:899 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\f