For all questions asking for probabilities you must write the probability statement of what you are asked to find. (e.g., P(AnB)) 1. A bank classifies borrowers as "high risk" or "low risk". A recent sample of 1200 loans showed that 192 of them were in the "high risk" category. 60 of the loans are in default (meaning that payments are not being made). It is also true that out of the 1200 loans 24 are both "high risk" and in default. a) (1pt) Fully fill in the following table on your page. High Risk Low Risk (H) (L) total Default 60 (D) 24 36 DefaultC (D9) 168 972 1140 192 1008 1200 b) (1.5pts) What is the probability that a randomly selected loan is in not in default and issued to a low- risk borrower? c) (1.5pts) What is the probability that a loan will default, given that it is issued to a high-risk borrower? d) (1.5pts) What is the probability that a randomly selected loan is either in default or issued to a high- risk borrower, or both? e) (1.5pts) If a loan is being issued to a borrower who is not high-risk. What is the probability that this loan will default