Question: Hey I'm having a hard time with this question, thanks for helping An analyst of personal loans in a local bank revealed the following facts:

Hey I'm having a hard time with this question, thanks for helping

An analyst of personal loans in a local bank revealed the following facts: 10% of all loans are in default; 20% of loans in default are mortgages and 70% of those not in default are mortgages.

a.What is the probability that a loan chosen at random is both in default (D) and a mortgage (M)?

b.What is the probability that the loan is in default or a mortgage?

c.If you were to randomly draw 100 loans in default from the population described above, what would be the probability that, in this sample, more than 25% of the loans are mortgages?

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