An insurance company classifies the airplane it insures into class L (low risk) and class H (high risk), and estimates the corresponding proportions of the airplane as 70% and 30% respectively. The...

An insurance company classifies the airplane it insures into class L (low risk) and class H (high risk), and estimates the corresponding proportions of the airplane as 70% and 30% respectively. The company has also found that 99% of class L and 88% of class H airplane have no accident within a year. If an airplane insured by the company has no accident within a year, what is the probability that it belongs to

1. 
   

   (a)  class H?

   
   


2. 
   

   (b)  class L?