b The second binomial experiment consists of 24 trials How m

(b) The second binomial experiment consists of 24 trials. How many outcomes have exactly 12 successes?

Solution

A binomial experiment is a statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.

So If outcome 1 is success then outcome 2 is failure and will have 12 of each,

So numer of outcomes having exactly 12 successes will be ²⁴C₁₂= 2704156