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A Finite final consists of 30 multiple choice questions.
If each question has 4 choices and 1 right answer, find the probability
that a student gets an A (i.e. 27 or better) by purely guessing on each question.
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For each individual multiple choice question of 30 multiple questions,
the probability to guess correctly is = 0.25;
the probability to guess incorrectly is = 0.75.
Next, P = P(27) + P(28) + P(29) + P(30) = use the formulas for the binomial distribution =
= + + + =
= 9.50802*10^(-14) + 3.39572*10^(-15) + 7.80626*10^(-17) + 8.67362*10^(-19) = 9.85548*10^(-14). ANSWER
Solved.
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If you want to see many similar (or different) solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
- How to calculate Binomial probabilities with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using MS Excel)
- Solving problems on Binomial distribution with Technology (using online solver)
in this site.
After reading these lessons, you will be able to solve such problems on your own,
which is your PRIMARY MAJOR GOAL visiting this forum (I believe).