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2025-01-26 13:31本頁(yè)面
【正文】 nomial distribution with parameters n and p, ( B(n。Example A student attempts a multiple choice exam (options A to F for each question), but having done no work, selects his answers to each question by rolling a fair die (A = 1, B = 2, etc.). If the exam contains 100 questions, what is the probability of obtaining a mark below 20? Simulation Now, let us simulate a large number of realisations of students using this random method of answering multiple choice questions. We still require the same Binomial distribution with n=100 and a= This can be done on R using the mand rbinom. 16 For example, let’s simulate 1000 students. xsim=rbinom(1000,100,1/6) xsim [1] 18 22 9 17 18 20 21 16 8 18 11 16 16 13 16 14 25 15 16 17 [21] 13 25 11 24 17 16 13 21 10 17 18 10 17 18 19 17 19 15 13 12 [41] 15 11 21 23 19 14 19 25 23 19 20 17 17 15 16 14 13 16 17 14 [61] 24 21 19 8 18 20 22 16 15 20 19 17 13 15 13 21 22 12 12 12 [81] 11 14 11 12 16 16 17 21 17 16 17 14 9 17 16 17 12 20 16 17 [101] 18 13 15 16 12 15 17 16 17 26 18 14 21 15 10 23 12 16 16 12 [121] 17 18 22 17 18 14 19 22 13 17 21 15 21 16 17 16 16 28 16 17 [141] 18 19 16 11 14 18 16 18 18 14 20 13 19 19 22 22 13 17 19 17 [161] 18 20 11 22 19 25 15 15 17 18 5 15 14 13 18 15 17 15 20 17 [181] 16 14 23 17 16 10 12 16 21 30 16 13 22 14 15 16 17 14 16 18 [201] 14 20 16 19 25 14 15 24 22 19 15 17 22 10 20 13 10 15 14 22 [221] 17 12 16 19 20 17 15 21 14 13 21 11 19 9 21 22 16 13 13 12 [241] 14 13 18 8 14 18 10 16 10 12 21 18 15 17 16 8 19 17 11 18 [261] 23 17 20 16 12 20 11 16 22 17 16 13 22 20 15 15 20 17 22 14 [281] 18 23 18 20 20 16 19 16 15 19 18 17
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