Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. If 30,000 of these bulbs are produced, how many can be expected to last at least 1300 hr? The number of light bulbs that can be expected to last at least 1300 hr is _____?
| z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
|
0.0 0.1 0.2 0.3 0.4 |
0.5000 0.5398 0.5793 0.6179 0.6554 |
0.5040 0.5438 0.5832 0.6217 0.6591 |
0.5080 0.5478 0.5871 0.6255 0.6628 |
0.5120 0.5517 0.5910 0.6293 0.6664 |
0.5160 0.5557 0.5948 0.6331 0.6700 |
0.5199 0.5596 0.5987 0.6368 0.6736 |
0.5239 0.5636 0.6026 0.6406 0.6772 |
0.5279 0.5675 0.6064 0.6443 0.6808 |
0.5319 0.5714 0.6103 0.6480 0.6844 |
0.5359 0.5753 0.6141 0.6517 0.6879 |
|
0.5 0.6 0.7 0.8 0.9 |
0.6915 0.7257 0.7580 0.7881 0.8159 |
0.6950 0.7291 0.7611 0.7910 0.8186 |
0.6985 0.7324 0.7642 0.7939 0.8212 |
0.7019 0.7357 0.7673 0.7967 0.8238 |
0.7054 0.7389 0.7704 0.7995 0.8264 |
0.7088 0.7422 0.7734 0.8023 0.8289 |
0.7123 0.7454 0.7764 0.8051 0.8315 |
0.7157 0.7486 0.7794 0.8078 0.8340 |
0.7190 0.7517 0.7823 0.8106 0.8365 |
0.7224 0.7549 0.7852 0.8133 0.8389 |
|
1.0 1.1 1.2 1.3 1.4 |
0.8413 0.8643 0.8849 0.9032 0.9192 |
0.8438 0.8665 0.8869 0.9049 0.9207 |
0.8461 0.8686 0.8888 0.9066 0.9222 |
0.8485 0.8708 0.8907 0.9082 0.9236 |
0.8508 0.8729 0.8925 0.9099 0.9251 |
0.8531 0.8749 0.8944 0.9115 0.9265 |
0.8554 0.8770 0.8962 0.9131 0.9278 |
0.8577 0.8790 0.8980 0.9147 0.9292 |
0.8599 0.8810 0.8997 0.9162 0.9306 |
0.8621 0.8830 0.9015 0.9177 0.9319 |
|
1.5 1.6 1.7 1.8 1.9 |
0.9332 0.9452 0.9554 0.9641 0.9713 |
0.9345 0.9463 0.9564 0.9649 0.9719 |
0.9357 0.9474 0.9573 0.9656 0.9726 |
0.9370 0.9484 0.9582 0.9664 0.9732 |
0.9382 0.9495 0.9591 0.9671 0.9738 |
0.9394 0.9505 0.9599 0.9678 0.9744 |
0.9406 0.9515 0.9608 0.9686 0.9750 |
0.9418 0.9525 0.9616 0.9693 0.9756 |
0.9429 0.9535 0.9625 0.9699 0.9761 |
0.9441 0.9545 0.9633 0.9706 0.9767 |
|
2.0 2.1 2.2 2.3 2.4 |
0.9772 0.9821 0.9861 0.9893 0.9918 |
0.9778 0.9826 0.9864 0.9896 0.9920 |
0.9783 0.9830 0.9868 0.9898 0.9922 |
0.9788 0.9834 0.9871 0.9901 0.9925 |
0.9793 0.9838 0.9875 0.9904 0.9927 |
0.9798 0.9842 0.9878 0.9906 0.9929 |
0.9803 0.9846 0.9881 0.9909 0.9931 |
0.9808 0.9850 0.9884 0.9911 0.9932 |
0.9812 0.9854 0.9887 0.9913 0.9934 |
0.9817 0.9857 0.9890 0.9916 0.9936 |
|
2.5 2.6 2.7 2.8 2.9 |
0.9938 0.9953 0.9965 0.9974 0.9981 |
0.9940 0.9955 0.9966 0.9975 0.9982 |
0.9941 0.9956 0.9967 0.9976 0.9982 |
0.9943 0.9957 0.9968 0.9977 0.9983 |
0.9945 0.9959 0.9969 0.9977 0.9984 |
0.9946 0.9960 0.9970 0.9978 0.9984 |
0.9948 0.9961 0.9971 0.9979 0.9985 |
0.9949 0.9962 0.9972 0.9979 0.9985 |
0.9951 0.9963 0.9973 0.9980 0.9986 |
0.9952 0.9964 0.9974 0.9981 0.9986 |
|
3.0 3.1 3.2 3.3 3.4 |
0.9987 0.9990 0.9993 0.9995 0.9997 |
0.9987 0.9991 0.9993 0.9995 0.9997 |
0.9987 0.9991 0.9994 0.9995 0.9997 |
0.9988 0.9991 0.9994 0.9996 0.9997 |
0.9988 0.9992 0.9994 0.9996 0.9997 |
0.9989 0.9992 0.9994 0.9996 0.9997 |
0.9989 0.9992 0.9994 0.9996 0.9997 |
0.9989 0.9992 0.9995 0.9996 0.9997 |
0.9990 0.9993 0.9995 0.9996 0.9997 |
0.9990 0.9993 0.9995 0.9997 0.9998 |
| z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |
|
-3.4 -3.3 -3.2 -3.1 -3.0 |
0.0003 0.0005 0.0007 0.0010 0.0013 |
0.0003 0.0005 0.0007 0.0009 0.0013 |
0.0003 0.0005 0.0006 0.0009 0.0013 |
0.0003 0.0004 0.0006 0.0009 0.0012 |
0.0003 0.0004 0.0006 0.0008 0.0012 |
0.0003 0.0004 0.0006 0.0008 0.0011 |
0.0003 0.0004 0.0006 0.0008 0.0011 |
0.0003 0.0004 0.0005 0.0008 0.0011 |
0.0003 0.0004 0.0005 0.0007 0.0010 |
0.0002 0.0003 0.0005 0.0007 0.0010 |
|
-2.9 -2.8 -2.7 -2.6 -2.5 |
0.0019 0.0026 0.0035 0.0047 0.0062 |
0.0018 0.0025 0.0034 0.0045 0.0060 |
0.0017 0.0024 0.0033 0.0044 0.0059 |
0.0017 0.0023 0.0032 0.0043 0.0057 |
0.0016 0.0023 0.0031 0.0041 0.0055 |
0.0016 0.0022 0.0030 0.0040 0.0054 |
0.0015 0.0021 0.0029 0.0039 0.0052 |
0.0015 0.0021 0.0028 0.0038 0.0051 |
0.0014 0.0020 0.0027 0.0037 0.0049 |
0.0014 0.0019 0.0026 0.0036 0.0048 |
|
-2.4 -2.3 -2.2 -2.1 -2.0 |
0.0082 0.0107 0.0139 0.0179 0.0228 |
0.0080 0.0104 0.0136 0.0174 0.0222 |
0.0078 0.0102 0.0132 0.0170 0.0217 |
0.0075 0.0099 0.0129 0.0166 0.0212 |
0.0073 0.0096 0.0125 0.0162 0.0207 |
0.0071 0.0094 0.0122 0.0158 0.0202 |
0.0069 0.0091 0.0119 0.0154 0.0197 |
0.0068 0.0089 0.0116 0.0150 0.0192 |
0.0066 0.0087 0.0113 0.0146 0.0188 |
0.0064 0.0084 0.0110 0.0143 0.0183 |
|
-1.9 -1.8 -1.7 -1.6 -1.5 |
0.0287 0.0359 0.0446 0.0548 0.0668 |
0.0281 0.0352 0.0436 0.0537 0.0655 |
0.0274 0.0344 0.0427 0.0526 0.0643 |
0.0268 0.0336 0.0418 0.0516 0.0630 |
0.0262 0.0329 0.0409 0.0505 0.0618 |
0.0256 0.0322 0.0401 0.0495 0.0606 |
0.0250 0.0314 0.0392 0.0485 0.0594 |
0.0244 0.0307 0.0384 0.0475 0.0582 |
0.0239 0.0301 0.0375 0.0465 0.0571 |
0.0233 0.0294 0.0367 0.0455 0.0559 |
|
-1.4 -1.3 -1.2 -1.1 -1.0 |
0.0808 0.0968 0.1151 0.1357 0.1587 |
0.0793 0.0951 0.1131 0.1335 0.1562 |
0.0778 0.0934 0.1112 0.1314 0.1539 |
0.0764 0.0918 0.1093 0.1292 0.1515 |
0.0749 0.0901 0.1075 0.1271 0.1492 |
0.0735 0.0885 0.1056 0.1251 0.1469 |
0.0722 0.0869 0.1038 0.1230 0.1446 |
0.0708 0.0853 0.1020 0.1210 0.1423 |
0.0694 0.0838 0.1003 0.1190 0.1401 |
0.0681 0.0823 0.0985 0.1170 0.1379 |
|
-0.9 -0.8 -0.7 -0.6 -0.5 |
0.1841 0.2119 0.2420 0.2743 0.3085 |
0.1814 0.2090 0.2389 0.2709 0.3050 |
0.1788 0.2061 0.2358 0.2676 0.3015 |
0.1762 0.2033 0.2327 0.2643 0.2981 |
0.1736 0.2005 0.2296 0.2611 0.2946 |
0.1711 0.1977 0.2266 0.2578 0.2912 |
0.1685 0.1949 0.2236 0.2546 0.2877 |
0.1660 0.1922 0.2206 0.2514 0.2843 |
0.1635 0.1894 0.2177 0.2483 0.2810 |
0.1611 0.1867 0.2148 0.2451 0.2776 |
|
-0.4 -0.3 -0.2 -0.1 -0.0 |
0.3446 0.3821 0.4207 0.4602 0.5000 |
0.3409 0.3783 0.4168 0.4562 0.4960 |
0.3372 0.3745 0.4129 0.4522 0.4920 |
0.3336 0.3707 0.4090 0.4483 0.4880 |
0.3300 0.3669 0.4052 0.4443 0.4840 |
0.3228 0.3594 0.3974 0.4364 0.4761 |
0.3192 0.3557 0.3936 0.4325 0.4721 |
0.3156 0.3520 0.3897 0.4286 0.4681 |
0.3121 0.3483 0.3859 0.4247 0.4641 |
|
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