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Assume that random guesses are made for 6 multiple-choice questions on a test with 5 choices for each question, so that there are n = 6 trials, 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 probability table. The probability of no correct answers is (Round to three decimal places as needed.)

Assume that random guesses are made for 6 multiple-choice questions on a test with 5 choices for each question, so that there are n = 6 trials, 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 probability table. The probability of no correct answers is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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n 2 3 4 5 6 7 8 n 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 1 2 3 4 5 6 7 8 X Binomial Probabilities + + + 2 § 2 § tt § § § ± ± ± ± ± ± ± 5 .05 902 .095 .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 .20 .810 .640 .180 320 .010 .040 729 .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+ .10 512 384 .096 .008 .410 .410 .154 .026 .002 328 .410 .205 .061 .006 0+ 262 393 .246 .082 .015 .002 0+ 210 .367 275 .115 .029 .004 0+ 0+ .168 .336 294 147 .046 .009 .001 0+ 0+ .20 30 490 420 .090 343 441 .189 .027 .240 412 .265 .076 .008 168 360 .309 .132 .028 .002 .118 303 324 .185 .060 .010 .001 .082 .247 .318 .227 .097 .025 .004 0+ .058 .198 296 .254 .136 .047 .010 .001 0+ .30 .40 .360 480 .160 216 432 288 .064 .130 .346 346 154 026 .028 .131 .261 290 .194 077 017 .002 .017 .090 209 .279 50 .250 .500 .250 .078 .259 .346 230 077 .010 .047 .187 .311 .234 .276 .312 .138 .234 .037 .094 .004 .016 .232 124 .041 .008 .001 .40 .125 375 .375 .125 .062 .250 .375 .250 .062 .031 .156 .312 .312 156 .031 .016 .094 .008 .055 .164 273 .273 164 055 .008 .004 .031 .109 .219 .273 .219 .109 .031 .004 .50 P .60 .160 480 .360 .064 .288 432 .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 .008 .041 .124 .232 .279 .209 .090 .017 .60 .70 .090 420 490 027 .189 .441 343 .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 0+ .001 .010 .047 .136 254 296 .198 058 .70 .80 040 320 .640 008 096 384 512 .002 026 154 410 410 0+ 006 051 205 410 328 0+ 002 015 082 246 393 262 0+ 0+ .004 029 .115 275 367 210 0+ 0+ .001 009 046 .147 294 336 168 .80 .90 .010 .180 810 .001 027 243 .729 0+ .004 049 292 656 0+ 0+ 0+ .003 023 .95 002 .095 902 0+ 0+ 0+ 0+ .008 .001 .073 .021 328 204 774 .124 372 0+ 007 .135 .857 590 0+ 0+ 0+ 0+ .001 0+ .015 .002 .098 031 354 531 478 0+ 0+ 0+ 0+ .005 033 149 383 430 .90 0+ 0+ 014 171 .815 232 .735 0+ 0+ 0+ 0+ 004 041 257 698 0+ 0+ 0+ 0+ 0+ .005 .061 279 .663 .95 8 + 8 + + + + + + + § 5 ± ± ± ± § § § ± ± ± ± ± ± ± ± ± ± ± 8 8 8 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 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X n THEU 2 3 5 7 ||||||| n
Transcribed Image Text:n 2 3 4 5 6 7 8 n 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 1 2 3 4 5 6 7 8 X Binomial Probabilities + + + 2 § 2 § tt § § § ± ± ± ± ± ± ± 5 .05 902 .095 .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 .20 .810 .640 .180 320 .010 .040 729 .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+ .10 512 384 .096 .008 .410 .410 .154 .026 .002 328 .410 .205 .061 .006 0+ 262 393 .246 .082 .015 .002 0+ 210 .367 275 .115 .029 .004 0+ 0+ .168 .336 294 147 .046 .009 .001 0+ 0+ .20 30 490 420 .090 343 441 .189 .027 .240 412 .265 .076 .008 168 360 .309 .132 .028 .002 .118 303 324 .185 .060 .010 .001 .082 .247 .318 .227 .097 .025 .004 0+ .058 .198 296 .254 .136 .047 .010 .001 0+ .30 .40 .360 480 .160 216 432 288 .064 .130 .346 346 154 026 .028 .131 .261 290 .194 077 017 .002 .017 .090 209 .279 50 .250 .500 .250 .078 .259 .346 230 077 .010 .047 .187 .311 .234 .276 .312 .138 .234 .037 .094 .004 .016 .232 124 .041 .008 .001 .40 .125 375 .375 .125 .062 .250 .375 .250 .062 .031 .156 .312 .312 156 .031 .016 .094 .008 .055 .164 273 .273 164 055 .008 .004 .031 .109 .219 .273 .219 .109 .031 .004 .50 P .60 .160 480 .360 .064 .288 432 .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 .008 .041 .124 .232 .279 .209 .090 .017 .60 .70 .090 420 490 027 .189 .441 343 .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 0+ .001 .010 .047 .136 254 296 .198 058 .70 .80 040 320 .640 008 096 384 512 .002 026 154 410 410 0+ 006 051 205 410 328 0+ 002 015 082 246 393 262 0+ 0+ .004 029 .115 275 367 210 0+ 0+ .001 009 046 .147 294 336 168 .80 .90 .010 .180 810 .001 027 243 .729 0+ .004 049 292 656 0+ 0+ 0+ .003 023 .95 002 .095 902 0+ 0+ 0+ 0+ .008 .001 .073 .021 328 204 774 .124 372 0+ 007 .135 .857 590 0+ 0+ 0+ 0+ .001 0+ .015 .002 .098 031 354 531 478 0+ 0+ 0+ 0+ .005 033 149 383 430 .90 0+ 0+ 014 171 .815 232 .735 0+ 0+ 0+ 0+ 004 041 257 698 0+ 0+ 0+ 0+ 0+ .005 .061 279 .663 .95 8 + 8 + + + + + + + § 5 ± ± ± ± § § § ± ± ± ± ± ± ± ± ± ± ± 8 8 8 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 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X n THEU 2 3 5 7 ||||||| n
Assume that random guesses are made for 6 multiple-choice questions on a test with 5 choices for each question, so that there are n = 6 trials, 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 probability table. The probability of no correct answers is (Round to three decimal places as needed.)
Transcribed Image Text:Assume that random guesses are made for 6 multiple-choice questions on a test with 5 choices for each question, so that there are n = 6 trials, 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 probability table. The probability of no correct answers is (Round to three decimal places as needed.)
Expert Solution
Step 1: Given information

We have given a problem of the binomial distribution.

The probability of success (correct), p = 0.20

We have given that random guesses are made for 6 MCQs on a test with 5 choices for each question.

No. of trial, n = 6

Let, X = number of correct answers

The probability of k success out of n trial is given by

P left parenthesis X equals k right parenthesis equals open parentheses table row n row k end table close parentheses cross times p to the power of k cross times open parentheses 1 minus p close parentheses to the power of n minus k end exponent

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