Answer:
The probability is

Explanation:
From the question we are told that
The proportion of business travelers that plan their own business trip is

The sample size is n = 12
The random number considered is x = 5
Generally the proportion of business travelers that do not plan their own business trip is mathematically evaluated as

=>

=>

This can study can be said to follow binomial distribution as there is only two outcomes
So the probability exactly 5 travelers plan their own trips is mathematically represented as

Generally using a combination calculator

So

