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Assume that random guesses are made for twelve multiple choice questions on a medical admissions test, so that there are n = 12 trials, each

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Assume that random guesses are made for twelve multiple choice questions on a medical admissions test, so that there are n = 12 trials, each with a probability of success (correct) given by p = 0.20. Find the probability that the number x of correct answers is fewer than 4. (I) The probability that the number x of correct answers is fewer than 4 is D. (Round to three decimal places as needed.) X Reference Binomial Probabilities 20 .30 40 50 60 .70 80 90 95 99 X 01 .05 .10 .640 490 360 250 160 090 .040 010 .002 2 .980 - O O 902 .810 180 .095 020 020 095 .180 .320 420 480 500 480 420 320 N d .040 090 .160 250 360 490 640 810 .902 980 NO 0+ 002 010 .512 .343 .216 125 .064 .027 008 001 0+ 0+ Co 970 857 .729 - O O 029 135 .243 .384 .441 432 375 .288 .189 .096 027 .007 0+ 0+ 007 .027 .096 .189 288 375 432 441 384 243 .135 .029 W No 0+ 0+ .001 008 .027 064 125 .216 343 512 729 .857 970 0+ O 961 .815 .656 .410 .240 .130 .062 . 026 008 .002 0+ 0+ .039 171 .292 .410 .412 346 250 .154 076 026 004 0+ 0+ .265 346 375 .346 265 154 049 .014 .001 W N- 001 .014 .049 .154 0+ .004 .026 .076 .154 .250 .346 .412 410 .292 .171 .039 0+ 0+ 0+ .002 .008 .026 .062 .130 240 410 .656 .815 .961 0+ O 951 .774 .590 .328 .168 078 .031 010 002 0+ 0+ 0+ 0+ - O 0+ 0+ 0+ .048 .204 .328 .410 .360 259 156 .077 .028 006 051 008 .001 0+ No 001 .021 .073 .205 .309 346 .312 .230 .132 .008 051 .132 230 312 .346 309 205 .073 .021 .001 CO 0+ .001 Print DoneAssume that random guesses are made for 7 multiple-choice questions on a test with 5 choices for each question, so Reference are n = 7 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.)

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