A student is studying for the test which has 40 questions. Each question is a mu

Question

A student is studying for the test which has 40 questions. Each question is a multiple choice question with 6 options. The student studied 25% of the content of the test. The rest of the test he will randomly pick the answer. (A) Find P(Score = 5). (B) Find P(Score = 30). (C) Find P(Score = k). (D) What should student expect for his score? (E) The student would like to be 95% confident in his score result. Compute the 95% CI for the student. (F) The student needs 32 points on the test to get B. Can he be 95% confident that he will get B on the test? Explain!!!!

Explanation / Answer

Solution:

Total number of question in the test=40

25% of test count student covered so he can answer the questions=40*25% =10

Remaining questions he attempt at random n=40-10 =30

Number options per question=6

Probabilty that a question is correct=1/6

a) P( Score=5) = 30C5(1/6)^5 (5/6)^25 =0.19211

b)P(Score=30) = (1/6)^30 =4.5233*10^-24

c) P( Score =k) =30Ck(1/6)k (5/6)^30-k

d) Students Expected Score =10+(30*1/6) =15

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