SOLUTION: Suppose that a quiz consists of 16 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). H

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Question 1183519: Suppose that a quiz consists of 16 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the student will get exactly 8 answers correct? (consider up to 4 decimal places)
Mark only one oval.
0.1208
0.1964
0.0229
0.8412

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Suppose that a quiz consists of 16 True-False questions. A student hasn't studied for the exam and will just randomly
guesses at all answers (with True and False equally likely). How would you find the probability that the student
will get exactly 8 answers correct? (consider up to 4 decimal places)
0.1208
0.1964
0.0229
0.8412
~~~~~~~~~~~~~~~~


It is a typical binomial distribution probability problem.


    The number of trials is n = 16;

    The number of successful trials is  k = 8.

    The probability of the success is    in each individual trial (the same as the probability of the unsuccess).


The final probability is  P =  =  = 0.1964  (rounded).    ANSWER

Solved and explained.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.



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