Question

Assume that random guesses are made for 4 multiple-choice questions on a test with 5 choices for each question, so that there are n =4 trials, each with probability of success (correct) given by p =0.20 Find the probability of no correct answers. Binomial Probabilities p n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n 2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 2 1 .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 2 3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 3 1 .029 .135 .243 .384 .441 .432 .375 .288 .189 .096 .027 .007 0+ 1 2 0+ .007 .027 .096 .189 .288 .375 .432 .441 .384 .243 .135 .029 2 3 0+ 0+ .001 .008 .027 .064 .125 .216 .343 .512 .729 .857 .970 3 4 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 4 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 2 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 4 5 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 5 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+ 2 3 0+ .001 .008 .051 .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 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 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 .060 .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 5 0+ 0+ 0+ .002 .010 .037 .094 .187 .303 .393 .354 .232 .057 5 6 0+ 0+ 0+ 0+ .001 .004 .016 .047 .118 .262 .531 .735 .9 The probability of no correct answers is enter your response here. (Round to three decimal places as needed.)

          Assume that random guesses are made for 4
multiple-choice questions on a test with 5
choices for each question, so that there are n =4
trials, each with probability of success (correct) given by 
p =0.20
Find the probability of no correct answers.
Binomial Probabilities p n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n 2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 2 1 .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 2 3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 3 1 .029 .135 .243 .384 .441 .432 .375 .288 .189 .096 .027 .007 0+ 1 2 0+ .007 .027 .096 .189 .288 .375 .432 .441 .384 .243 .135 .029 2 3 0+ 0+ .001 .008 .027 .064 .125 .216 .343 .512 .729 .857 .970 3 4 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 4 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 2 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 4 5 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 5 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+ 2 3 0+ .001 .008 .051 .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 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 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 .060 .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 5 0+ 0+ 0+ .002 .010 .037 .094 .187 .303 .393 .354 .232 .057 5 6 0+ 0+ 0+ 0+ .001 .004 .016 .047 .118 .262 .531 .735 .9
The probability of no correct answers is
enter your response here.
(Round to three decimal places as needed.)

Added by Krystal P.

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