SOLUTION: A student takes a 20 question, multiple choice exam with 5 choices for each question. If the student is guessing, find the following probabilities:
A. Getting less than 5 question
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Question 463713: A student takes a 20 question, multiple choice exam with 5 choices for each question. If the student is guessing, find the following probabilities:
A. Getting less than 5 questions right?
B. Passing the exam with at least an 80% score?
C. Getting every question but 2 wrong?
Please help?!?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Let X = number of correct answers in a 20-multiple choice questions.
X~Binomial(n=20, p=0.2)
There are 5 choices so the probability of success is 1/5 or 0.2 and the probability of failure is 1-0.2 = 0.8.
Therefore, the pmf of X is
Using the pmf we can now solve problems A,B, and C.
A. = 0.6296
B. 80% of 20 is 16 so we compute , the result is a very small number close to zero.
C. , the result is also a very small number close to zero.
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