SOLUTION: Calculate the theoretical probability of answering exactly 14 questions correctly on a 30 question exam when the probability of guessing correctly is 0.35? Follow up question: I

Algebra ->  Probability-and-statistics -> SOLUTION: Calculate the theoretical probability of answering exactly 14 questions correctly on a 30 question exam when the probability of guessing correctly is 0.35? Follow up question: I      Log On


   

Question 1200886: Calculate the theoretical probability of answering exactly 14 questions correctly on a 30 question exam when the probability of guessing correctly is 0.35?
Follow up question:
If the minimum passing grade is 21, what is the exact probability that a student passes the exam if they are guessing on each question with a 35% chance of guessing correctly?

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
Calculate the theoretical probability of answering exactly 14 questions correctly
on a 30 question exam when the probability of guessing correctly is 0.35?
~~~~~~~~~~~~~~~~~~~ 

It is the Binomial type a probability problem


    P = C%5B30%5D%5E14%2A0.35%5E14%2A%281-0.35%29%5E%2830-14%29 = 145422675%2A0.35%5E14%2A0.65%5E16 = 0.06112  (rounded).   ANSWER

Solved.

-------------

For the following up question/questions, please post it/them in separate post/posts - for your sake.

=============

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.

Learn the entire subject from there.