Assume that a procedure yields a binomial distribution with n=6 trials and a probability of success of p=0.80. Use a binomial probability table to find the probability that the number of successes x is exactly 4.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
icon
Related questions
Topic Video
Question

Assume that a procedure yields a binomial distribution with

n=6

trials and a probability of success of

p=0.80.

Use a binomial probability table to find the probability that the number of successes x is exactly 4.

.932
.698
.478
.210
.082
.028
.008
002
0+
0+
0+
0+
0+
7
1
066
.257
.372
.367
.247
.131
.055
017
004
0+
0+
0+
0+
1
2
002
.041
.124
.275
318
.261
.164
077
025
004
0+
0+
0+
3
0+
.004
.023
.115
.227
.290
.273
.194
097
029
003
0+
0+
3
4
0+
0+
.003
.029
.097
.194
.273
290
227
.115
023
004
0+
4
5
0+
0+
0+
.004
.025
.077
.164
261
318
275
.124
041
.002
6
0+
0+
0+
.004
.017
.055
.131
247
367
372
257
.066
7
0+
0+
0+
0+
.002
.008
028
082
210
478
698
.932
7
8
.923
.663
430
.168
.068
.017
.004
001
0+
0+
0+
0+
0+
8
075
.279
.383
.336
.198
.090
.031
008
001
0+
0+
0+
0+
2
003
.051
.149
.294
.296
.209
.109
041
010
001
0+
0+
0+
2
3
0+
005
.033
.147
254
279
219
.124
047
009
0+
0+
0+
3
4
0+
0+
.005
.046
.136
.232
.273
232
.136
046
005
0+
0+
5
0+
0+
0+
.009
.047
.124
.219
279
254
.147
033
005
0+
6
0+
0+
.001
.010
.041
.109
209
296
294
.149
051
.003
6
7
0+
0+
0+
0+
.001
.008
.031
090
.198
336
383
279
.075
7
0+
0+
0+
0+
.001
.004
017
058
.168
430
663
.923
8
01
.05
.10
.20
.30
.40
.50
60
70
80
90
.95
.99
Transcribed Image Text:.932 .698 .478 .210 .082 .028 .008 002 0+ 0+ 0+ 0+ 0+ 7 1 066 .257 .372 .367 .247 .131 .055 017 004 0+ 0+ 0+ 0+ 1 2 002 .041 .124 .275 318 .261 .164 077 025 004 0+ 0+ 0+ 3 0+ .004 .023 .115 .227 .290 .273 .194 097 029 003 0+ 0+ 3 4 0+ 0+ .003 .029 .097 .194 .273 290 227 .115 023 004 0+ 4 5 0+ 0+ 0+ .004 .025 .077 .164 261 318 275 .124 041 .002 6 0+ 0+ 0+ .004 .017 .055 .131 247 367 372 257 .066 7 0+ 0+ 0+ 0+ .002 .008 028 082 210 478 698 .932 7 8 .923 .663 430 .168 .068 .017 .004 001 0+ 0+ 0+ 0+ 0+ 8 075 .279 .383 .336 .198 .090 .031 008 001 0+ 0+ 0+ 0+ 2 003 .051 .149 .294 .296 .209 .109 041 010 001 0+ 0+ 0+ 2 3 0+ 005 .033 .147 254 279 219 .124 047 009 0+ 0+ 0+ 3 4 0+ 0+ .005 .046 .136 .232 .273 232 .136 046 005 0+ 0+ 5 0+ 0+ 0+ .009 .047 .124 .219 279 254 .147 033 005 0+ 6 0+ 0+ .001 .010 .041 .109 209 296 294 .149 051 .003 6 7 0+ 0+ 0+ 0+ .001 .008 .031 090 .198 336 383 279 .075 7 0+ 0+ 0+ 0+ .001 .004 017 058 .168 430 663 .923 8 01 .05 .10 .20 .30 .40 .50 60 70 80 90 .95 .99
01
.05
.10
.20
.30
.40
.50
60
.70
80
90
.95
.99
2
.980
.902
.810
.640
490
.360
.250
.160
090
010
002
0+
2
1
020
.095
.180
.320
.420
.480
.500
480
420
320
.180
095
.020
2
0+
.002
.010
.040
.090
.160
250
260
490
640
810
902
.980
2
3
.970
.857
.729
.512
.343
.216
.125
064
027
008
001
0+
0+
3
1
029
.135
.243
.384
.441
.432
375
288
.189
095
027
007
0+
1
2
0+
.007
.027
.096
.189
.288
.375
432
441
384
243
.135
.029
2
3
0+
0+
.001
.008
.027
.064
.125
216
343
512
.729
857
.970
3
4
.961
.815
.656
.410
.240
.130
.062
026
008
002
0+
0+
0+
4
039
.171
.292
410
.412
.346
.250
.154
076
026
004
0+
0+
2
001
.014
.049
.154
.265
.346
.375
346
265
.154
049
.014
.001
2
3
0+
0+
.004
.026
.076
.154
250
346
412
410
292
.171
.039
3
4
0+
0+
0+
.002
.008
.026
.062
.130
240
410
656
815
.961
4.
5
.951
.774
.590
.328
168
.078
.081
010
002
0+
0+
0+
0+
5
1
048
.204
.328
.410
.360
.259
.156
077
028
005
0+
0+
0+
2
001
.021
.073
.205
.309
.346
.312
230
.132
051
008
001
0+
2
3
0+
.001
.008
.051
.132
.230
.312
346
309
205
073
021
.001
3
4
0+
0+
0+
.006
.028
.077
.156
259
360
410
328
204
.048
5
0+
0+
0+
0+
.002
.010
.031
078
168
328
590
.774
.951
5
.941
.735
.531
.262
.118
.047
.016
004
001
0+
0+
0+
0+
057
232
.354
.393
.303
.187
094
037
010
002
0+
0+
0+
1
2
001
.031
.098
.246
.324
.311
.234
.138
060
015
001
0+
0+
2
3
0+
.002
.015
.082
.185
.276
.312
276
.185
052
015
002
0+
3
4
0+
0+
.001
.015
.060
.138
.234
311
324
246
095
031
.001
5
0+
0+
0+
.002
.010
.037
.094
.187
303
333
354
232
.057
0+
0+
0+
0+
.001
.004
.016
047
.118
262
531
.735
.941
6
Transcribed Image Text:01 .05 .10 .20 .30 .40 .50 60 .70 80 90 .95 .99 2 .980 .902 .810 .640 490 .360 .250 .160 090 010 002 0+ 2 1 020 .095 .180 .320 .420 .480 .500 480 420 320 .180 095 .020 2 0+ .002 .010 .040 .090 .160 250 260 490 640 810 902 .980 2 3 .970 .857 .729 .512 .343 .216 .125 064 027 008 001 0+ 0+ 3 1 029 .135 .243 .384 .441 .432 375 288 .189 095 027 007 0+ 1 2 0+ .007 .027 .096 .189 .288 .375 432 441 384 243 .135 .029 2 3 0+ 0+ .001 .008 .027 .064 .125 216 343 512 .729 857 .970 3 4 .961 .815 .656 .410 .240 .130 .062 026 008 002 0+ 0+ 0+ 4 039 .171 .292 410 .412 .346 .250 .154 076 026 004 0+ 0+ 2 001 .014 .049 .154 .265 .346 .375 346 265 .154 049 .014 .001 2 3 0+ 0+ .004 .026 .076 .154 250 346 412 410 292 .171 .039 3 4 0+ 0+ 0+ .002 .008 .026 .062 .130 240 410 656 815 .961 4. 5 .951 .774 .590 .328 168 .078 .081 010 002 0+ 0+ 0+ 0+ 5 1 048 .204 .328 .410 .360 .259 .156 077 028 005 0+ 0+ 0+ 2 001 .021 .073 .205 .309 .346 .312 230 .132 051 008 001 0+ 2 3 0+ .001 .008 .051 .132 .230 .312 346 309 205 073 021 .001 3 4 0+ 0+ 0+ .006 .028 .077 .156 259 360 410 328 204 .048 5 0+ 0+ 0+ 0+ .002 .010 .031 078 168 328 590 .774 .951 5 .941 .735 .531 .262 .118 .047 .016 004 001 0+ 0+ 0+ 0+ 057 232 .354 .393 .303 .187 094 037 010 002 0+ 0+ 0+ 1 2 001 .031 .098 .246 .324 .311 .234 .138 060 015 001 0+ 0+ 2 3 0+ .002 .015 .082 .185 .276 .312 276 .185 052 015 002 0+ 3 4 0+ 0+ .001 .015 .060 .138 .234 311 324 246 095 031 .001 5 0+ 0+ 0+ .002 .010 .037 .094 .187 303 333 354 232 .057 0+ 0+ 0+ 0+ .001 .004 .016 047 .118 262 531 .735 .941 6
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning