All 30 like the product. The probability is ______? (Round to four decimal places as needed.) (b) From 20 to 23 (inclusive) like the product. The probability is ______? (Round to four decimal places
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A company is taking a survey to find out if people like its product. Their last survey indicated that 80% of the population like the product. Based on that, of a sample of 30 people, find the probabilities of the following. Complete parts (a) and (b).
| 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 0.0007 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 |
0.3264 0.3632 0.4013 0.4404 0.4801 |
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 |
| z | 0.0 | 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 |
0.9989 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 |
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