Assume that a procedure yields a binomial distribution with n=4 trials and a probability of success of p=0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 3. Click on the icon to view the binomial probabilities table. P(3)= (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Pls help #10
Assume that a procedure yields a binomial distribution with n=4 trials and a probability of success of
p=0.30. Use a binomial probability table to find the probability that the number of successes x is
exactly 3.
Click on the icon to view the binomial probabilities table.
P(3)= (Round to three decimal places as needed.)
Transcribed Image Text:Assume that a procedure yields a binomial distribution with n=4 trials and a probability of success of p=0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 3. Click on the icon to view the binomial probabilities table. P(3)= (Round to three decimal places as needed.)
n
3
7
0
4
5
6
1
2
3
4
5
6
7
8
0
1
2
3
4
5
6
0
1
2
3
x
0
1
2
0
1
2
3
1
2
3
4
5
x
0
1
2
3
4
0
Binomial Probabilities
01
990
020
0+
970
029
0+
0+
.961
039
001
0+
0+
951
048
001
0+
0+
0+
.941
057
.001
0+
0+
0+
0+
932
990
002
0+
0+
0+
0+
0+
923
075
003
0+
0+
0+
0+
0+
0+
01
05
902
.095
0.002
.857
135
.007
0+
.815
.171
.014
0+
0+
774
204
021
.001
0+
0+
.735
232
.031
.002
0+
0+
0+
.698
257
041
.004
0+
+0
0+
0+
.663
279
.051
005
0+
0+
0+
0+
0+
.05
10
810
.180
010
.729
.243
027
.001
.656
292
.049
.004
0+
.590
.328
.073
.008
0+
0+
531
354
.098
.015
.001
0+
0+
478
372
124
023
.003
0+
0+
0+
430
383
149
033
.005
0+
0+
0+
0+
.10
20
640
320
040
512
384
.096
.008
410
410
154
.026
.002
328
410
205
.051
.006
0+
262
393
246
.082
.015
.002
0+
.210
.367
.275
.115
.029
.004
0+
0+
168
336
294
147
046
600
.001
0+
0+
20
30
.490
.420
.090
.343
.441
.189
.027
.240
.412
265
.076
.008
168
360
.309
132
.028
.002
.185
.060
.010
.001
.082
.247
.318
.227
.097
025
.118 .047
.308
.187
324
.311
276
.138
.0837
.004
.004
0+
.068
.198
296
254
136
.047
.010
.001
0+
30
40
360
480
160
216
.432
288
064
130
346
346
154
.026
.078
.259
346
230
.077
.010
Print
028
.131
261
.290
.194
.077
.017
.002
.017
.090
209
279
232
124
.041
.008
.001
.40
.50
250
500
250
125
375
.375
125
062
250
.375
250
.062
.031
.156
312
312
.156
031
016
094
234
312
234
.094
.016
.008
.055
164
273-
273
.164
.065
.008
.004
.031
.109
219
273
219
109
031
.004
50
P
60
160
480
360
064
289
432
216
026
154
346
346
.130
010
077
230
346
259
078
004
037
138
276
311
.187
047
.002
017
077
194
290
261
131
028
001
900
041
124
232
279
209
090
017
09
.70
090
420
490
027
.189
441
343
008
076
265
412
240
002
028
132
309
360
168
100⁰
010
090
185
324
303
118
0+
004
025
097
227
318
247
082
0+
001
010
047
136
254
296
196
058
.70
Done
80
040
320
640
005
960
354
512
002
026
154
410
410
0+
900
051
205
410
328
0+
002
015
082
246
393
262
0+
0+
004
029
115
275
367
210
0+
0+
001
600
910⁰
147
294
336
168
80
06
010
.180
810
001
027
243
.729
0+
100⁰
049
292
656
0+
0+
,005
073
328
590
0+
0+
001
015
098
354
531
0+
0+
0+
003
023
124
372
478
0+
0+
0+
0+
005
033
149
353
430
90
95
002
095
.902
0+
007
135
857
0+
0+
014
.171
815
0+
0+
001
021
204
774
0+
0+
0+
002
031
232
.735
0+
0+
0+
0+
100
041
257
698
0+
0+
0+
0+
005
051
279
663
95
雲古古古古古古古古古古古古古古古古古古古
.039
.001
.001
.932
923
.99
x
PX
0
1
2
0
1
2
3
0
1
2
3
4
0
1
2
3
4
5
0
1
2
3
4
5
6
0
1
2
3
4
5
6
7
0
2
4
5
6
8
X
n
2
7
A
Transcribed Image Text:n 3 7 0 4 5 6 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 0 1 2 3 x 0 1 2 0 1 2 3 1 2 3 4 5 x 0 1 2 3 4 0 Binomial Probabilities 01 990 020 0+ 970 029 0+ 0+ .961 039 001 0+ 0+ 951 048 001 0+ 0+ 0+ .941 057 .001 0+ 0+ 0+ 0+ 932 990 002 0+ 0+ 0+ 0+ 0+ 923 075 003 0+ 0+ 0+ 0+ 0+ 0+ 01 05 902 .095 0.002 .857 135 .007 0+ .815 .171 .014 0+ 0+ 774 204 021 .001 0+ 0+ .735 232 .031 .002 0+ 0+ 0+ .698 257 041 .004 0+ +0 0+ 0+ .663 279 .051 005 0+ 0+ 0+ 0+ 0+ .05 10 810 .180 010 .729 .243 027 .001 .656 292 .049 .004 0+ .590 .328 .073 .008 0+ 0+ 531 354 .098 .015 .001 0+ 0+ 478 372 124 023 .003 0+ 0+ 0+ 430 383 149 033 .005 0+ 0+ 0+ 0+ .10 20 640 320 040 512 384 .096 .008 410 410 154 .026 .002 328 410 205 .051 .006 0+ 262 393 246 .082 .015 .002 0+ .210 .367 .275 .115 .029 .004 0+ 0+ 168 336 294 147 046 600 .001 0+ 0+ 20 30 .490 .420 .090 .343 .441 .189 .027 .240 .412 265 .076 .008 168 360 .309 132 .028 .002 .185 .060 .010 .001 .082 .247 .318 .227 .097 025 .118 .047 .308 .187 324 .311 276 .138 .0837 .004 .004 0+ .068 .198 296 254 136 .047 .010 .001 0+ 30 40 360 480 160 216 .432 288 064 130 346 346 154 .026 .078 .259 346 230 .077 .010 Print 028 .131 261 .290 .194 .077 .017 .002 .017 .090 209 279 232 124 .041 .008 .001 .40 .50 250 500 250 125 375 .375 125 062 250 .375 250 .062 .031 .156 312 312 .156 031 016 094 234 312 234 .094 .016 .008 .055 164 273- 273 .164 .065 .008 .004 .031 .109 219 273 219 109 031 .004 50 P 60 160 480 360 064 289 432 216 026 154 346 346 .130 010 077 230 346 259 078 004 037 138 276 311 .187 047 .002 017 077 194 290 261 131 028 001 900 041 124 232 279 209 090 017 09 .70 090 420 490 027 .189 441 343 008 076 265 412 240 002 028 132 309 360 168 100⁰ 010 090 185 324 303 118 0+ 004 025 097 227 318 247 082 0+ 001 010 047 136 254 296 196 058 .70 Done 80 040 320 640 005 960 354 512 002 026 154 410 410 0+ 900 051 205 410 328 0+ 002 015 082 246 393 262 0+ 0+ 004 029 115 275 367 210 0+ 0+ 001 600 910⁰ 147 294 336 168 80 06 010 .180 810 001 027 243 .729 0+ 100⁰ 049 292 656 0+ 0+ ,005 073 328 590 0+ 0+ 001 015 098 354 531 0+ 0+ 0+ 003 023 124 372 478 0+ 0+ 0+ 0+ 005 033 149 353 430 90 95 002 095 .902 0+ 007 135 857 0+ 0+ 014 .171 815 0+ 0+ 001 021 204 774 0+ 0+ 0+ 002 031 232 .735 0+ 0+ 0+ 0+ 100 041 257 698 0+ 0+ 0+ 0+ 005 051 279 663 95 雲古古古古古古古古古古古古古古古古古古古 .039 .001 .001 .932 923 .99 x PX 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 2 4 5 6 8 X n 2 7 A
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