According to the Gallup Organization, 65% of adult Americans are in favor of the death penalty for
Question:
According to the Gallup Organization, 65% of adult Americans are in favor of the death penalty for individuals convicted of murder. In a random sample of 15 adult Americans, what is the probability that
(a) exactly 10 favor the death penalty?
(b) no more than 6 favor the death penalty?
Approach We use Tables III and IV in Appendix A to obtain the probabilities.
Transcribed Image Text:
Table III Binomial Probability Distribution P x 0.01 0.05 0.10 2 0 0.9801 1 0.0198 2 0.0001 0.9025 0.0950 3 0 0.9703 0.25 0.30 0.8100 0.7225 0.5625 0.4900 0.1800 0.2550 0.3750 0.4200 0.0025 0.0100 0.0225 0.0400 0.0625 0.8574 0.7290 0.6141 05120 0.4219 1 0.0294 0.1354 0.2430 0.3251 0.3840 0.4219 0.15 0.20 0.6400 0.3200 0.0330 0.0595 0.0951 5 0.0000+ 0.0000+ 0.0001 0.0044 0.0102 0.0205 0.0369 6 0.0000 0.0000+ 0.0000+ 0.0000+ 0.0001 0.0002 0.0007 0.0018 7 0 0.9321 0.6983 0.4783 0.3206 0.2097 0.1335 0.0824 0.0490 0.0041 0.0280 0.1306 2 0.0020 0.0406 3 0.0000+ 0.0036 0.35 0.40 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.4225 0,3600 0.3025 0.2500 0.2025 0.1600 0.1225 0.0900 0.0625 0.0400 0.4550 0.4800 0.4950 0.5000 0.4950 0.4800 0.4550 0.4200 0.3750 0.3200 0.2550 0.0900 0.1225 0.1600 0.2025 0.2500 0.3025 0.3600 0.4225 0.4900 0.5625 0.6400 0.7225 0.8100 0.9025 0.3430 0.2746 0.2160 0.1664 0.1250 0.0911 0.0640 0.0429 0.0270 0.0156 0.0080 0.0034 0.0010 0.0001 0.4410 0.4436 0.4320 0.4084 0.3750 0.3341 0.2880 0.2389 0.1890 0.1406 0.0960 0.0574 0.0270 0.0071 2 0.0003 0.0071 0.0270 0.0574 0.0960 0.1406 0.1890 0.2389 0.2880 0.3341 0.3750 0.4084 0.4320 0.4436 0.4410 0.4219 0.3840 0.3251 0.2430 0.1354 3 0.0000+ 0.0001 0.0010 0.0034 0.0080 0.0156 0.0270 0.0429 0.0640 0.0911 0.1250 0.1664 0.2160 0.2746 0.3430 0.4219 0.5120 0.6141 0.7290 0.8574 4 0 0.9606 0.8145 0.6561 0.5220 0.4096 0.3164 0.2401 0.1785 0.1296 0.0915 0.0625 0.0410 0.0256 0.0150 0.0081 0.0039 0.0016 0.0005 0.0001 0.0000+ 1 0.0388 0.1715 0.2916 0.3685 0.4096 0.4219 0.4116 0.3845 0.3456 0.2995 0.2500 0.2005 0.1536 0.1115 0.0756 0.0469 0.0256 0.0115 0.0036 0.0005 2 0.0006 0.0135 0.0486 0.0975 0.1536 0.2109 0.2646 0.3105 0.3456 0.3675 0.3750 0.3675 0.3456 0.3105 0.2646 0.2109 0.1536 0.0975 0.0486 0.0135 3 0.0000+ 0.0005 0.0036 0.0115 0.0256 0.0469 0.0756 0.1115 0.1536 0.2005 0.2500 0.2995 0.3456 0.3845 0.4116 0.4219 0.4096 0.3685 0.2916 0.1715 4 0.0000+ 0.0000+ 0.0001 0.0005 0.0016 0.0039 0.0081 0.0150 0.0256 0.0410 0.0625 0.0915 0.1296 0.1785 0.2401 0.3164 0.4096 0.5220 0.6561 0.8145 50 0.9510 0.7738 0.5905 0.4437 0.3277 0.2373 0.1681 0.1160 0.0778 0.0503 0.0313 0.0185 0.0102 0.0053 0.0024 0.0010 0.0003 0.0001 0.0000+ 0.0000+ 10.0480 0.2036 0.3281 0.3915 0.4096 0.3955 0.3602 0.3124 0.2592 0.2059 0.1563 0.1128 0.0768 0.0488 0.0284 0.0146 0.0064 0.0022 0.0005 0.0000+ 2 0.0010 0.0214 0.0729 0.1382 0.2048 0.2637 0.3087 0.3364 0.3456 0.3369 0.3125 0.2757 0.2304 0.1811 0.1323 0.0879 0.0512 0.0244 0.0081 0.0011 3 0.0000+ 0.0011 0.0081 0.0244 0.0512 0.0879 0.1323 0.1811 0.2304 0.2757 0.3125 0.3369 0.3456 0.3364 0.3087 0.2637 0.2048 0.1382 0.0729 0.0214 4 0.0000+ 0.0000+ 0.0005 0.0022 0.0064 0.0146 0.0284 0.0488 0.0768 0.1128 0.1563 0.2059 0.2592 0.3124 0.3602 0.3955 0.4096 0.3915 0.3281 0.2036 5 0.0000+ 0.0000+ 0.0000+ 0.0001 0.0003 0.0010 0.0024 0.0053 0.0102 0.0185 0.0313 0.0503 0.0778 0.1160 0.1681 0.2373 0.3277 0.4437 0.5905 0.7738 6 0 0.9415 0.7351 0.5314 0.3771 0.2621 0.1780 0.1176 0.0754 0.0467 0.0277 0.0156 0.0083 0.0041 0.0018 0.0007 0.0002 0.0001 0.0000+ 0.0000+ 0.0000+ 1 0.0571 0.2321 0.3543 0.3993 0.3932 0.3560 0.3025 0.2437 0.1866 0.1359 0.0938 0.0609 0.0369 0.0205 0.0102 0.0044 0.0015 0.0004 0.0001 0.0000+ 2 0.0014 0.0305 0.0984 0.1762 0.2458 0.2966 0.3241 0.3280 0.3110 0.2780 0.2344 0.1861 0.1382 0.0951 0.0595 0.0330 0.0154 0.0055 0.0012 0.0001 3 0.0000+ 0.0021 0.0146 0.0415 0.0819 0.1318 0.1852 0.2355 0.2765 0.3032 0.3125 0.3032 0.2765 0.2355 0.1852 0.1318 0.0819 0.0415 0.0146 0.0021 4 0.0000+ 0.0001 0.0012 0.0055 0.0154 0.1382 0.1861 0.2344 0.2780 0.3110 0.3280 0.3241 0.2966 0.2458 0.1762 0.0984 0.0305 0.0004 0.0015 0.0609 0.0938 0.1359 0.1866 0.2437 0.3025 0.3560 0.3932 0.3993 0.3543 0.2321 0.0083 0.0156 0.0277 0.0467 0.0754 0.1176 0.1780 0.2621 0.3771 0.5314 0.7351 0.0152 0.0078 0.0037 0.0016 0.0006 0.0002 0.0001 0.0000+ 0.0000+ 0.0000+ 0.0000+ 1 0.0659 0.2573 0.3720 0.3960 0.3670 0.3115 0.2471 0.1848 0.0872 0.0547 0.0320 0.0172 0.0084 0.0036 0.0013 0.0004 0.0001 0.0000+ 0.0000+ 0.1240 0.2097 0.2753 0.3115 0.3177 0.2985 0.2613 0.2140 0.1641 0.1172 0.0774 0.0466 0.0250 0.0115 0.0043 0.0012 0.0002 0.0000+ 0.0230 0.0617 0.1147 0.1730 0.2269 0.2679 0.2903 0.2918 0.2734 0.2388 0.1935 0.1442 0.0972 0.0577 0.0287 0.0109 0.0026 0.0002 4 0.0000+ 0.0002 0.0026 0.0109 0.0287 0.0577 0.0972 0.1442 0.1935 0.2388 0.2734 0.2918 0.2903 0.2679 0.2269 0.1730 0.1147 0.0617 0.0230 0.0036 5 0.0000+ 0.0000+ 0.0002 0.0012 0.0043 0.0115 0.0250 0.0466 0.0774 0.1172 0.1641 0.2140 0.2613 0.2985 0.3177 0.3115 0.2753 0.2097 0.1240 0.0406 6 0.0000+ 0.0000+ 0.0000+ 0.0001 0.0004 0.0013 0.0036 0.0084 0.0172 0.0320 0.0547 0.0872 0.1306 0.1848 0.2471 0.3115 0.3670 0.3960 0.3720 0.2573 7 0.0000+ 0.0000+ 0.0000+ 0.0000+ 0.0000+ 0.0001 0.0002 0.0006 0.0016 0.0037 0.0078 0.0152 0.0280 0.0490 0.0824 0.1335 0.2097 0.3206 0.4783 0.6983 0.60 0.85 0.90 0.95 0.0225 0.0100 0.0025 0.1800 0.0950
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Statistics Informed Decisions Using Data
ISBN: 9781292157115
5th Global Edition
Authors: Michael Sullivan
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