Probability that 88 of 100 student follow exam instructions

Question

There is a 0.88 probability that MATH 106 students will correctly follow all instructions on the exam. What is the probability that exactly 88 of the 100 students taking English in a particular term correctly follow all exam instruction

Answer 1

Robert,

        Assuming that the .88 probability is generally applicable to students in the particular term, and assuming test takings are independent events i.e the probability of me following instructions will not influence you following instructions. We can use the binomial distribution for the probability of 88 successes in 100 attempts.

 

The probability P(88)=₁₀₀C₈₈*(.88)⁸⁸*(1-.88)¹²=.122

 

Hope this helps

 

Jim