Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

Binomial Probability Table and Calculations, Study notes of Probability and Statistics

Aurora UniversityProbability and Statistics

A comprehensive table of binomial probabilities for various values of n, p, and k, along with calculations for different scenarios. It serves as a useful resource for understanding and applying binomial distributions in statistics and probability theory.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

arien
arien ๐Ÿ‡บ๐Ÿ‡ธ

4.8

(24)

310 documents

1 / 5

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
T-6
โ€ข
Tab le s
TABLE C
Binomial probabilities
Entry is P(X=k)=๎˜‚n
k๎˜ƒpk(1โˆ’p)nโˆ’k
p
nk .01 .02 .03 .04 .05 .06 .07 .08 .09
20.9801 .9604 .9409 .9216 .9025 .8836 .8649 .8464 .8281
1.0198 .0392 .0582 .0768 .0950 .1128 .1302 .1472 .1638
2.0001 .0004 .0009 .0016 .0025 .0036 .0049 .0064 .0081
30.9703 .9412 .9127 .8847 .8574 .8306 .8044 .7787 .7536
1.0294 .0576 .0847 .1106 .1354 .1590 .1816 .2031 .2236
2.0003 .0012 .0026 .0046 .0071 .0102 .0137 .0177 .0221
3.0001 .0001 .0002 .0003 .0005 .0007
40.9606 .9224 .8853 .8493 .8145 .7807 .7481 .7164 .6857
1.0388 .0753 .1095 .1416 .1715 .1993 .2252 .2492 .2713
2.0006 .0023 .0051 .0088 .0135 .0191 .0254 .0325 .0402
3.0001 .0002 .0005 .0008 .0013 .0019 .0027
4.0001
50.9510 .9039 .8587 .8154 .7738 .7339 .6957 .6591 .6240
1.0480 .0922 .1328 .1699 .2036 .2342 .2618 .2866 .3086
2.0010 .0038 .0082 .0142 .0214 .0299 .0394 .0498 .0610
3.0001 .0003 .0006 .0011 .0019 .0030 .0043 .0060
4.0001 .0001 .0002 .0003
5
60.9415 .8858 .8330 .7828 .7351 .6899 .6470 .6064 .5679
1.0571 .1085 .1546 .1957 .2321 .2642 .2922 .3164 .3370
2.0014 .0055 .0120 .0204 .0305 .0422 .0550 .0688 .0833
3.0002 .0005 .0011 .0021 .0036 .0055 .0080 .0110
4.0001 .0002 .0003 .0005 .0008
5
6
70.9321 .8681 .8080 .7514 .6983 .6485 .6017 .5578 .5168
1.0659 .1240 .1749 .2192 .2573 .2897 .3170 .3396 .3578
2.0020 .0076 .0162 .0274 .0406 .0555 .0716 .0886 .1061
3.0003 .0008 .0019 .0036 .0059 .0090 .0128 .0175
4.0001 .0002 .0004 .0007 .0011 .0017
5.0001 .0001
6
7
80.9227 .8508 .7837 .7214 .6634 .6096 .5596 .5132 .4703
1.0746 .1389 .1939 .2405 .2793 .3113 .3370 .3570 .3721
2.0026 .0099 .0210 .0351 .0515 .0695 .0888 .1087 .1288
3.0001 .0004 .0013 .0029 .0054 .0089 .0134 .0189 .0255
4.0001 .0002 .0004 .0007 .0013 .0021 .0031
5.0001 .0001 .0002
6
7
8
Integre Technical Publishing Co., Inc. Moore/McCabe November 16, 2007 1:29 p.m. moore page T-6
pf3
pf4
pf5

Partial preview of the text

Download Binomial Probability Table and Calculations and more Study notes Probability and Statistics in PDF only on Docsity!

T-

Tables

TABLE C

Binomial probabilities

Entry is P ( X = k ) =

( n k

) pk ( 1 โˆ’ p ) n โˆ’ k

p

n k .01 .02 .03 .04 .05 .06 .07 .08.

2 0 .9801 .9604 .9409 .9216 .9025 .8836 .8649 .8464. 1 .0198 .0392 .0582 .0768 .0950 .1128 .1302 .1472. 2 .0001 .0004 .0009 .0016 .0025 .0036 .0049 .0064.

3 0 .9703 .9412 .9127 .8847 .8574 .8306 .8044 .7787. 1 .0294 .0576 .0847 .1106 .1354 .1590 .1816 .2031. 2 .0003 .0012 .0026 .0046 .0071 .0102 .0137 .0177. 3 .0001 .0001 .0002 .0003 .0005.

4 0 .9606 .9224 .8853 .8493 .8145 .7807 .7481 .7164. 1 .0388 .0753 .1095 .1416 .1715 .1993 .2252 .2492. 2 .0006 .0023 .0051 .0088 .0135 .0191 .0254 .0325. 3 .0001 .0002 .0005 .0008 .0013 .0019.

5 0 .9510 .9039 .8587 .8154 .7738 .7339 .6957 .6591. 1 .0480 .0922 .1328 .1699 .2036 .2342 .2618 .2866. 2 .0010 .0038 .0082 .0142 .0214 .0299 .0394 .0498. 3 .0001 .0003 .0006 .0011 .0019 .0030 .0043. 4 .0001 .0001 .0002. 5

6 0 .9415 .8858 .8330 .7828 .7351 .6899 .6470 .6064. 1 .0571 .1085 .1546 .1957 .2321 .2642 .2922 .3164. 2 .0014 .0055 .0120 .0204 .0305 .0422 .0550 .0688. 3 .0002 .0005 .0011 .0021 .0036 .0055 .0080. 4 .0001 .0002 .0003 .0005. 5 6

7 0 .9321 .8681 .8080 .7514 .6983 .6485 .6017 .5578. 1 .0659 .1240 .1749 .2192 .2573 .2897 .3170 .3396. 2 .0020 .0076 .0162 .0274 .0406 .0555 .0716 .0886. 3 .0003 .0008 .0019 .0036 .0059 .0090 .0128. 4 .0001 .0002 .0004 .0007 .0011. 5 .0001. 6 7

8 0 .9227 .8508 .7837 .7214 .6634 .6096 .5596 .5132. 1 .0746 .1389 .1939 .2405 .2793 .3113 .3370 .3570. 2 .0026 .0099 .0210 .0351 .0515 .0695 .0888 .1087. 3 .0001 .0004 .0013 .0029 .0054 .0089 .0134 .0189. 4 .0001 .0002 .0004 .0007 .0013 .0021. 5 .0001 .0001. 6 7 8

Tables

TABLE C

Binomial probabilities (continued)

Entry is P ( X = k ) =

( n k

) pk ( 1 โˆ’ p ) n โˆ’ k

Tables

TABLE C

Binomial probabilities (continued)

Entry is P ( X = k ) = ( n k ) p k ( 1 โˆ’ p ) n โˆ’ k

15

 - T- โ€ข
  • n k .10 .15 .20 .25 .30 .35 .40 .45. p
  • 2 0 .8100 .7225 .6400 .5625 .4900 .4225 .3600 .3025.
    • 1 .1800 .2550 .3200 .3750 .4200 .4550 .4800 .4950.
    • 2 .0100 .0225 .0400 .0625 .0900 .1225 .1600 .2025.
  • 3 0 .7290 .6141 .5120 .4219 .3430 .2746 .2160 .1664.
    • 1 .2430 .3251 .3840 .4219 .4410 .4436 .4320 .4084.
    • 2 .0270 .0574 .0960 .1406 .1890 .2389 .2880 .3341.
    • 3 .0010 .0034 .0080 .0156 .0270 .0429 .0640 .0911.
  • 4 0 .6561 .5220 .4096 .3164 .2401 .1785 .1296 .0915.
    • 1 .2916 .3685 .4096 .4219 .4116 .3845 .3456 .2995.
    • 2 .0486 .0975 .1536 .2109 .2646 .3105 .3456 .3675.
    • 3 .0036 .0115 .0256 .0469 .0756 .1115 .1536 .2005.
    • 4 .0001 .0005 .0016 .0039 .0081 .0150 .0256 .0410.
  • 5 0 .5905 .4437 .3277 .2373 .1681 .1160 .0778 .0503.
    • 1 .3280 .3915 .4096 .3955 .3602 .3124 .2592 .2059.
    • 2 .0729 .1382 .2048 .2637 .3087 .3364 .3456 .3369.
    • 3 .0081 .0244 .0512 .0879 .1323 .1811 .2304 .2757.
    • 4 .0004 .0022 .0064 .0146 .0284 .0488 .0768 .1128.
    • 5 .0001 .0003 .0010 .0024 .0053 .0102 .0185.
  • 6 0 .5314 .3771 .2621 .1780 .1176 .0754 .0467 .0277.
    • 1 .3543 .3993 .3932 .3560 .3025 .2437 .1866 .1359.
    • 2 .0984 .1762 .2458 .2966 .3241 .3280 .3110 .2780.
    • 3 .0146 .0415 .0819 .1318 .1852 .2355 .2765 .3032.
    • 4 .0012 .0055 .0154 .0330 .0595 .0951 .1382 .1861.
    • 5 .0001 .0004 .0015 .0044 .0102 .0205 .0369 .0609.
    • 6 .0001 .0002 .0007 .0018 .0041 .0083.
  • 7 0 .4783 .3206 .2097 .1335 .0824 .0490 .0280 .0152.
    • 1 .3720 .3960 .3670 .3115 .2471 .1848 .1306 .0872.
    • 2 .1240 .2097 .2753 .3115 .3177 .2985 .2613 .2140.
    • 3 .0230 .0617 .1147 .1730 .2269 .2679 .2903 .2918.
    • 4 .0026 .0109 .0287 .0577 .0972 .1442 .1935 .2388.
    • 5 .0002 .0012 .0043 .0115 .0250 .0466 .0774 .1172.
    • 6 .0001 .0004 .0013 .0036 .0084 .0172 .0320.
    • 7 .0001 .0002 .0006 .0016 .0037.
  • 8 0 .4305 .2725 .1678 .1001 .0576 .0319 .0168 .0084.
    • 1 .3826 .3847 .3355 .2670 .1977 .1373 .0896 .0548.
    • 2 .1488 .2376 .2936 .3115 .2965 .2587 .2090 .1569.
    • 3 .0331 .0839 .1468 .2076 .2541 .2786 .2787 .2568.
    • 4 .0046 .0185 .0459 .0865 .1361 .1875 .2322 .2627.
    • 5 .0004 .0026 .0092 .0231 .0467 .0808 .1239 .1719.
    • 6 .0002 .0011 .0038 .0100 .0217 .0413 .0703.
    • 7 .0001 .0004 .0012 .0033 .0079 .0164.
    • 8 .0001 .0002 .0007 .0017. - T- โ€ข
    • n k .10 .15 .20 .25 .30 .35 .40 .45. p
      • 9 0 .3874 .2316 .1342 .0751 .0404 .0207 .0101 .0046. - 1 .3874 .3679 .3020 .2253 .1556 .1004 .0605 .0339. - 2 .1722 .2597 .3020 .3003 .2668 .2162 .1612 .1110. - 3 .0446 .1069 .1762 .2336 .2668 .2716 .2508 .2119. - 4 .0074 .0283 .0661 .1168 .1715 .2194 .2508 .2600. - 5 .0008 .0050 .0165 .0389 .0735 .1181 .1672 .2128. - 6 .0001 .0006 .0028 .0087 .0210 .0424 .0743 .1160. - 7 .0003 .0012 .0039 .0098 .0212 .0407. - 8 .0001 .0004 .0013 .0035 .0083. - 9 .0001 .0003 .0008.
  • 10 0 .3487 .1969 .1074 .0563 .0282 .0135 .0060 .0025. - 1 .3874 .3474 .2684 .1877 .1211 .0725 .0403 .0207. - 2 .1937 .2759 .3020 .2816 .2335 .1757 .1209 .0763. - 3 .0574 .1298 .2013 .2503 .2668 .2522 .2150 .1665. - 4 .0112 .0401 .0881 .1460 .2001 .2377 .2508 .2384. - 5 .0015 .0085 .0264 .0584 .1029 .1536 .2007 .2340. - 6 .0001 .0012 .0055 .0162 .0368 .0689 .1115 .1596. - 7 .0001 .0008 .0031 .0090 .0212 .0425 .0746. - 8 .0001 .0004 .0014 .0043 .0106 .0229. - 9 .0001 .0005 .0016 .0042. - 10 .0001 .0003.
  • 12 0 .2824 .1422 .0687 .0317 .0138 .0057 .0022 .0008. - 1 .3766 .3012 .2062 .1267 .0712 .0368 .0174 .0075. - 2 .2301 .2924 .2835 .2323 .1678 .1088 .0639 .0339. - 3 .0852 .1720 .2362 .2581 .2397 .1954 .1419 .0923. - 4 .0213 .0683 .1329 .1936 .2311 .2367 .2128 .1700. - 5 .0038 .0193 .0532 .1032 .1585 .2039 .2270 .2225. - 6 .0005 .0040 .0155 .0401 .0792 .1281 .1766 .2124. - 7 .0006 .0033 .0115 .0291 .0591 .1009 .1489. - 8 .0001 .0005 .0024 .0078 .0199 .0420 .0762. - 9 .0001 .0004 .0015 .0048 .0125 .0277. - 10 .0002 .0008 .0025 .0068. - 11 .0001 .0003 .0010. - 12 .0001.
  • 15 0 .2059 .0874 .0352 .0134 .0047 .0016 .0005 .0001. - 1 .3432 .2312 .1319 .0668 .0305 .0126 .0047 .0016. - 2 .2669 .2856 .2309 .1559 .0916 .0476 .0219 .0090. - 3 .1285 .2184 .2501 .2252 .1700 .1110 .0634 .0318. - 4 .0428 .1156 .1876 .2252 .2186 .1792 .1268 .0780. - 5 .0105 .0449 .1032 .1651 .2061 .2123 .1859 .1404. - 6 .0019 .0132 .0430 .0917 .1472 .1906 .2066 .1914. - 7 .0003 .0030 .0138 .0393 .0811 .1319 .1771 .2013. - 8 .0005 .0035 .0131 .0348 .0710 .1181 .1647. - 9 .0001 .0007 .0034 .0116 .0298 .0612 .1048. - 10 .0001 .0007 .0030 .0096 .0245 .0515. - 11 .0001 .0006 .0024 .0074 .0191. - 12 .0001 .0004 .0016 .0052. - 13 .0001 .0003 .0010. - 14 .0001.

T-

Tables

TABLE C

Binomial probabilities (continued)

p

n k .01 .02 .03 .04 .05 .06 .07 .08.

20 0 .8179 .6676 .5438 .4420 .3585 .2901 .2342 .1887. 1 .1652 .2725 .3364 .3683 .3774 .3703 .3526 .3282. 2 .0159 .0528 .0988 .1458 .1887 .2246 .2521 .2711. 3 .0010 .0065 .0183 .0364 .0596 .0860 .1139 .1414. 4 .0006 .0024 .0065 .0133 .0233 .0364 .0523. 5 .0002 .0009 .0022 .0048 .0088 .0145. 6 .0001 .0003 .0008 .0017 .0032. 7 .0001 .0002 .0005. 8 .0001. 9 10 11 12 13 14 15 16 17 18 19 20

p

n k .10 .15 .20 .25 .30 .35 .40 .45.

20 0 .1216 .0388 .0115 .0032 .0008 .0002 .0000 .0000. 1 .2702 .1368 .0576 .0211 .0068 .0020 .0005 .0001. 2 .2852 .2293 .1369 .0669 .0278 .0100 .0031 .0008. 3 .1901 .2428 .2054 .1339 .0716 .0323 .0123 .0040. 4 .0898 .1821 .2182 .1897 .1304 .0738 .0350 .0139. 5 .0319 .1028 .1746 .2023 .1789 .1272 .0746 .0365. 6 .0089 .0454 .1091 .1686 .1916 .1712 .1244 .0746. 7 .0020 .0160 .0545 .1124 .1643 .1844 .1659 .1221. 8 .0004 .0046 .0222 .0609 .1144 .1614 .1797 .1623. 9 .0001 .0011 .0074 .0271 .0654 .1158 .1597 .1771. 10 .0002 .0020 .0099 .0308 .0686 .1171 .1593. 11 .0005 .0030 .0120 .0336 .0710 .1185. 12 .0001 .0008 .0039 .0136 .0355 .0727. 13 .0002 .0010 .0045 .0146 .0366. 14 .0002 .0012 .0049 .0150. 15 .0003 .0013 .0049. 16 .0003 .0013. 17 .0002.

19 20