Assume that random guesses are made for 4 multiple-choice questions on a test with 5 choices for each question, so that thers are n=4 trials, each with probability of success (correct) given by p-D0.20. Find the probability of no correct answers. Click on the icon to view the binomial probability table.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Assume that random guesses are made for 4 multiple-choice questions on a test with 5 choices for each question, so that thers
tren=D4trals, each with probability of success (correct) given by p-0.20. Find the probability of no correct answers.
Click on the icon to view the binomial probabiltytable.
The probability of no comrect answers is
Round to three decimal places as needed.)
Transcribed Image Text:Assume that random guesses are made for 4 multiple-choice questions on a test with 5 choices for each question, so that thers tren=D4trals, each with probability of success (correct) given by p-0.20. Find the probability of no correct answers. Click on the icon to view the binomial probabiltytable. The probability of no comrect answers is Round to three decimal places as needed.)
Binomlal Probabiltles,
01
05
10
20
50
40
95
99
250
.10
040
010
002
0.
21
810
180
980
902
640
490
960
480
420
320
180
020
320
1040
020
095
420
480
160
250
.S60
490
640
810
902
960
2,
001
0+
027
218 189
432
216 343,
Lo64
125
375
375
970
857
729
512
543
216
.029
135
243
384
441
432
096
(27
007
1.
0+
007
189
288
441
384
243
135
029
2,
3.
0+
.01
027
064
125
512
729
57
970
3.
4
961
015
410
240
130
002
026
002
0+
039
.171
292
410
412
346
250
.154
026
.004
049
292
666
014
001
265
412,
| 240
001
014
049
154
265
346
375
154
0+
004
026
076
154
250
410
171
039
4
002
008
026
130
410
315
951
774
590
.328
168
078
.031
010 002
04
0+)
.077
028
1.
166
312
048
204
328
410
360
259
2.
001
021
073
205
309
346
200
182
ost c00
001
001
.008
.061
132
230
312
309
205 .075
021
001
.006
028
077
156
259
410
204
018
0+
0+
0+
002
010
031
078
168
328
774
004 001
037 010
0.
941
735
.531
262
118
.047
016
057
232
354
393
303
187
094
1.
015
082,
2
.001
031
098
246
324
311
234
001
2
015
185
324
300
002
015
062
185
276
312
276
002.
3)
.001
015
138
254
246
.001
002
010
.037
084
107
232
057
001
004
016
047
262
531 735
941
832
898
.478
210
082
028
.002
0+
1.
257
372
367
247
131.
055
017
164
273
2.
002
041
124
275
318
261
077
025
004
04
097
227
004
023
115
227
290
194
029
003
(29
194
273
.290
115
004
0+
004
025
,077
164
201
275
124
041
002
004
017
055
131
247
367
372
257
7.
028
210
476
430
168
058
017
004
001
0+
923
076
8.
663
279
363
336
198
031
008
001
0+
0+
051
149
294
296
209
109
041
010
001
0+
2.
147
254
278
219
124
047
009
046
196
232
273
232
136
046
005
009
017
124
219
.279
254
147
033
000
0+
001
010
041]
109
209
296
294
051
003
001)
090
198,
336
383
279
075
0+
lo01
004
017
168
430
663
923
01
10
20
40
150
60
70,
90
95
NOTE 0+ repreants a positrve probability less than 0.0005,
一 0 寸
一 N
一
Transcribed Image Text:Binomlal Probabiltles, 01 05 10 20 50 40 95 99 250 .10 040 010 002 0. 21 810 180 980 902 640 490 960 480 420 320 180 020 320 1040 020 095 420 480 160 250 .S60 490 640 810 902 960 2, 001 0+ 027 218 189 432 216 343, Lo64 125 375 375 970 857 729 512 543 216 .029 135 243 384 441 432 096 (27 007 1. 0+ 007 189 288 441 384 243 135 029 2, 3. 0+ .01 027 064 125 512 729 57 970 3. 4 961 015 410 240 130 002 026 002 0+ 039 .171 292 410 412 346 250 .154 026 .004 049 292 666 014 001 265 412, | 240 001 014 049 154 265 346 375 154 0+ 004 026 076 154 250 410 171 039 4 002 008 026 130 410 315 951 774 590 .328 168 078 .031 010 002 04 0+) .077 028 1. 166 312 048 204 328 410 360 259 2. 001 021 073 205 309 346 200 182 ost c00 001 001 .008 .061 132 230 312 309 205 .075 021 001 .006 028 077 156 259 410 204 018 0+ 0+ 0+ 002 010 031 078 168 328 774 004 001 037 010 0. 941 735 .531 262 118 .047 016 057 232 354 393 303 187 094 1. 015 082, 2 .001 031 098 246 324 311 234 001 2 015 185 324 300 002 015 062 185 276 312 276 002. 3) .001 015 138 254 246 .001 002 010 .037 084 107 232 057 001 004 016 047 262 531 735 941 832 898 .478 210 082 028 .002 0+ 1. 257 372 367 247 131. 055 017 164 273 2. 002 041 124 275 318 261 077 025 004 04 097 227 004 023 115 227 290 194 029 003 (29 194 273 .290 115 004 0+ 004 025 ,077 164 201 275 124 041 002 004 017 055 131 247 367 372 257 7. 028 210 476 430 168 058 017 004 001 0+ 923 076 8. 663 279 363 336 198 031 008 001 0+ 0+ 051 149 294 296 209 109 041 010 001 0+ 2. 147 254 278 219 124 047 009 046 196 232 273 232 136 046 005 009 017 124 219 .279 254 147 033 000 0+ 001 010 041] 109 209 296 294 051 003 001) 090 198, 336 383 279 075 0+ lo01 004 017 168 430 663 923 01 10 20 40 150 60 70, 90 95 NOTE 0+ repreants a positrve probability less than 0.0005, 一 0 寸 一 N 一
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