Assume that random guesses are made for 2 multiple-choice questions on a test with 2 choices for each question, so that there are n=2 trials, each with probability of success (correct) given by p=0.50. Find the probability of no correct answers.
Assume that random guesses are made for 2 multiple-choice questions on a test with 2 choices for each question, so that there are n=2 trials, each with probability of success (correct) given by p=0.50. Find the probability of no correct answers.
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Assume that random guesses are made for 2 multiple-choice questions on a test with 2 choices for each question, so that there are n=2 trials, each with
Transcribed Image Text:Binomial Probabilities
.01
.05
.10
20
.30
.40
.50
.60
.70
.80
.90
.95
.99
2
.980
.902
810
.640
.490
.360
.250
.160
.090
.040
.010
.002
0+
.020
.095
.180
320
.420
.480
.500
.480
.420
320
.180
.095
.020
1
2
0+
.002
.010
.040
.090
.160
.250
.360
.490
.640
.810
.902
.980
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
.096
.027
.007
0+
2
0+
.007
.027
.096
.189
.288
.375
.432
.441
.384
243
.135
.029
3
0+
0+
.001
.008
.027
.064
.125
.216
343
.512
.729
.857
.970
3
.961
.815
.656
.410
.240
.130
.062
.026
.008
.002
0+
0+
0+
1
.039
.171
.292
.410
.412
.346
.250
.154
.076
.026
.004
0+
0+
1
2
.001
.014
.049
.154
265
.346
.375
.346
.265
.154
.049
.014
.001
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
5
.951
.774
.590
328
.168
.078
.031
.010
.002
0+
0+
0+
0+
1
.048
204
.328
.410
.360
.259
.156
.077
.028
.006
0+
0+
0+
1
2
.001
.021
.073
.205
.309
.346
.312
.230
.132
.051
.008
.001
0+
3
0+
.001
.008
.061
.132
230
.312
.346
.309
205
.073
.021
.001
3
4
0+
0+
0+
.006
.028
.077
.156
.259
360
.410
.328
.204
.048
4
5
0+
0+
0+
0+
.002
.010
.031
.078
.168
.328
.590
.774
.951
5
6
.941
.735
.531
.262
.118
.047
.016
.004
.001
0+
0+
0+
0+
6
1
.057
232
354
.393
.303
.187
.094
.037
.010
.002
0+
0+
0+
1
2
.001
.031
.098
.246
.324
.311
.234
.138
.000
.015
.001
0+
0+
2
3
0+
.002
.015
.082
.185
.276
.312
.276
.185
.082
.015
.002
0+
3
4
0+
0+
.001
.015
.060
.138
.234
.311
.324
.246
.098
.031
.001
4
0+
0+
0+
002
.010
.037
.094
.187
303
393
.354
.232
.057
0+
0+
0+
0+
.001
.004
.016
.047
.118
.262
.531
.735
.941
7
.932
.698
.478
.210
.082
.028
.008
.002
0+
0+
0+
0+
0+
7
.066
257
.372
.367
.247
.131
.055
.017
.004
0+
0+
0+
0+
.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+
0+
.004
.017
.055
.131
.247
367
.372
.257
.066
6
7
0+
0+
0+
0+
0+
.002
.008
.028
.082
210
.478
.698
.932
7
.923
.663
.430
.168
.058
.017
.004
.001
0+
0+
0+
0+
0+
8
1
.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+
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+
0+
0+
0+
.009
.047
.124
.219
.279
254
.147
.033
.005
0+
6
0+
0+
0+
.001
.109
.209
296
.294
.149
051
.003
7
0+
0+
0+
0+
.001
.008
.031
.090
.198
.336
.383
.279
.075
7
8
0+
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
NOTE:0+ represents a positive probability less than 0.0005.
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