Assume that a procedure yields a binomial distribution with n = 8 trials and a probability of success of p=0.60. Use a binomial probability table to find the probability that the number of successes x is exactly 1.

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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Assume that a procedure yields a binomial distribution with n = 8 trials and a probability of success of p=0.60. Use a binomial probability table to find the probability that the number of successes x is exactly 1.
Click on the icon to view the binomial probabilities table.
P(1) = (Round to three decimal places as needed.)
Binomial Probabilities Table
D
2
3
4
5
6
7
8
X
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
1
2
3
4
5
6
7
0
1
2
Binomial Probabilities
.01
.950
020
0+
.970
029
0+
0+
0+
.961
.039
man
.001
0+
0+
.951
048
.001
0+
0+
D
0+
.941
057
.001
0+
0+
21
0+
01
0+
..
.932
.066
002
0+
0+
0+
2.
0+
0+
.923
075
003
.05
.902
.10
.810
.095 .180
.002
.010
.857
.135
.007
0+
.815
.171
.014
0+
0+
.774
.204
.021
.001
0+
2.
0+
.735
.232
.031
002
0+
0+
0+
0+
.698
.257
.041
.004
0+
0+
0+
0+
.663
279
.051
.729
.243
.027
001
.001
.590
.328
.073
.008
0+
0+
.656
.292
.049
.004 .026
0+
.002
0+
0+
.20
.640
.320
.040
.478
.372
.124
.023
.003
0+
0+
0+
.531
.262
.354
.393
.098
.246
.015 .082
.001
.015
D
.002
0+
430
.383
.149
.512
.384
.096
008
.008
410
.240
.410
.412
154
.154 .265
.076
.008
.328
.410
.205
.051
.006
0+
.210
.367
.275
.115
.029
.004
0+
0+
.30
.490
.420
.090
.168
.336
.294
.343
.441
.189
.027
.028
.002
.118
.303
.324
.185
.060
.010
.001
c
.082
.247
.318
.227
.097
.025
.004
0+
.40
360
.130
246
.346
.346
.154
.026
.168 .078
.031
.259 .156
.360
.309
.346
.312
.132 .230
.312
.077
.156
.010
.031
.058
.198
.296
.480
160
.216 .125
.432
.375
.288
.375
.064 .125
.047
.187
.311
.276
.138
CAT
.037
.004
.50
.250
.500
250
.028
.131
.261
.290
.194
077
.017
.002
.017
.090
.209
.062
250
3.75
.375
.250
.062
.016
.094
.234
.312
.234
.094
.016
.006
.055
.164
.273
.273
.164
.055
.008
.004
.031
.109
P
.60
.160
480
360
064
288
....
432
216
216
028
AZA
.154
3346
346
.130
010
.077
2017
230
346
259
078
078
037
.138
276
311
40
.187
047
.....
002
017
077
.194
290
261
.131
028
...
.001
.008
041
.70
090
420
490
027
.189
441
242
343
008
076
265
412
240
.002
028
.132
309
360
.168
.001
010
060
.185
324
..
303
.118
0+
004
025
097
227
318
247
082
80
040
320
640
008
096
384
512
002
026
.154
410
410
0+
.006
051
205
410
328
0+
002
015
052
246
..
393
262
0+
0+
004
029
.115
275
367
210
0+
0+
.001
0+
010 .001
.90
010
.180
.810
.001
027
243
.729
0+
004
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+
95
.002
095
.902
0+
.007
.135
857
0+
D.
0+
014
.171
.815
we
0+
0+
.001
021
204
774
.774
0+
0+
0+
002
031
232
.735
0+
0+
0+
0+
004
041
257
698
0+
01
0+
0+
.99
0+
.020
.980
0+
0+
.029
070
.970
0+
0+
.001
.039
961
0+
0+
0+
.001
.048
.951
0+
0+
0+
0+
.001
.057
.941
0+
0+
0+
0+
0+
.002
.066
.932
0+
0+
0+
X
0
1
2
0
1
2
3
0
1
2
2
J 3
4
0
1
2
3
4
E
5
0
1
2
3
4
5
C
0 6
0
1
2
3
4
5
6
7
0
+
1
2
n
2
3
4
5
7
Transcribed Image Text:Assume that a procedure yields a binomial distribution with n = 8 trials and a probability of success of p=0.60. Use a binomial probability table to find the probability that the number of successes x is exactly 1. Click on the icon to view the binomial probabilities table. P(1) = (Round to three decimal places as needed.) Binomial Probabilities Table D 2 3 4 5 6 7 8 X 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 1 2 3 4 5 6 7 0 1 2 Binomial Probabilities .01 .950 020 0+ .970 029 0+ 0+ 0+ .961 .039 man .001 0+ 0+ .951 048 .001 0+ 0+ D 0+ .941 057 .001 0+ 0+ 21 0+ 01 0+ .. .932 .066 002 0+ 0+ 0+ 2. 0+ 0+ .923 075 003 .05 .902 .10 .810 .095 .180 .002 .010 .857 .135 .007 0+ .815 .171 .014 0+ 0+ .774 .204 .021 .001 0+ 2. 0+ .735 .232 .031 002 0+ 0+ 0+ 0+ .698 .257 .041 .004 0+ 0+ 0+ 0+ .663 279 .051 .729 .243 .027 001 .001 .590 .328 .073 .008 0+ 0+ .656 .292 .049 .004 .026 0+ .002 0+ 0+ .20 .640 .320 .040 .478 .372 .124 .023 .003 0+ 0+ 0+ .531 .262 .354 .393 .098 .246 .015 .082 .001 .015 D .002 0+ 430 .383 .149 .512 .384 .096 008 .008 410 .240 .410 .412 154 .154 .265 .076 .008 .328 .410 .205 .051 .006 0+ .210 .367 .275 .115 .029 .004 0+ 0+ .30 .490 .420 .090 .168 .336 .294 .343 .441 .189 .027 .028 .002 .118 .303 .324 .185 .060 .010 .001 c .082 .247 .318 .227 .097 .025 .004 0+ .40 360 .130 246 .346 .346 .154 .026 .168 .078 .031 .259 .156 .360 .309 .346 .312 .132 .230 .312 .077 .156 .010 .031 .058 .198 .296 .480 160 .216 .125 .432 .375 .288 .375 .064 .125 .047 .187 .311 .276 .138 CAT .037 .004 .50 .250 .500 250 .028 .131 .261 .290 .194 077 .017 .002 .017 .090 .209 .062 250 3.75 .375 .250 .062 .016 .094 .234 .312 .234 .094 .016 .006 .055 .164 .273 .273 .164 .055 .008 .004 .031 .109 P .60 .160 480 360 064 288 .... 432 216 216 028 AZA .154 3346 346 .130 010 .077 2017 230 346 259 078 078 037 .138 276 311 40 .187 047 ..... 002 017 077 .194 290 261 .131 028 ... .001 .008 041 .70 090 420 490 027 .189 441 242 343 008 076 265 412 240 .002 028 .132 309 360 .168 .001 010 060 .185 324 .. 303 .118 0+ 004 025 097 227 318 247 082 80 040 320 640 008 096 384 512 002 026 .154 410 410 0+ .006 051 205 410 328 0+ 002 015 052 246 .. 393 262 0+ 0+ 004 029 .115 275 367 210 0+ 0+ .001 0+ 010 .001 .90 010 .180 .810 .001 027 243 .729 0+ 004 049 292 .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+ 95 .002 095 .902 0+ .007 .135 857 0+ D. 0+ 014 .171 .815 we 0+ 0+ .001 021 204 774 .774 0+ 0+ 0+ 002 031 232 .735 0+ 0+ 0+ 0+ 004 041 257 698 0+ 01 0+ 0+ .99 0+ .020 .980 0+ 0+ .029 070 .970 0+ 0+ .001 .039 961 0+ 0+ 0+ .001 .048 .951 0+ 0+ 0+ 0+ .001 .057 .941 0+ 0+ 0+ 0+ 0+ .002 .066 .932 0+ 0+ 0+ X 0 1 2 0 1 2 3 0 1 2 2 J 3 4 0 1 2 3 4 E 5 0 1 2 3 4 5 C 0 6 0 1 2 3 4 5 6 7 0 + 1 2 n 2 3 4 5 7
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