Answer:
The  probability is   
  
Step-by-step explanation:
From the question we are told that 
    The  proportion that live with their parents is  
    The  sample  size is n =  125 
     
Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution 
   i.e  
        
Now the mean is evaluated as 
       
       
       
Generally the proportion that are not staying with parents is  
       
= >    
The standard deviation is mathematically evaluated as 
      
      
     
Given the n is large  then we can use normal approximation to evaluate the probability as follows   
      
Now applying continuity correction 
       
Generally   
     
     
      
      
 
So  for the z -  table  
          
          
   
    
   