1. A recent study revealed that 45% of business travelers plan their own business trips. The study is to be replicated with a sample of 12 frequent business travels. a. What is the probability exactly 5 travelers plan their own trips

The  probability is  

Step-by-step 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