A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In the past approximately 4% of cardholders defaulted, leaving the bank unable to collect the outstanding balance. The bank also found that the probability of missing one or more monthly payment in the first year with the bank is 0.20 for customers who do not default. The probability of missing one or more monthly payment in the first year with the bank is 0.40 for customers who do default. Define the following events. D: Default M: Missed one or more monthly payment in the first year

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A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In the
past approximately 4% of cardholders defaulted, leaving the bank unable to collect the outstanding
balance. The bank also found that the probability of missing one or more monthly payment in the first
year with the bank is 0.20 for customers who do not default. The probability of missing one or more
monthly payment in the first year with the bank is 0.40 for customers who do default.
Define the following events.
D: Default
M: Missed one or more monthly payment in the first year
Transcribed Image Text:A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In the past approximately 4% of cardholders defaulted, leaving the bank unable to collect the outstanding balance. The bank also found that the probability of missing one or more monthly payment in the first year with the bank is 0.20 for customers who do not default. The probability of missing one or more monthly payment in the first year with the bank is 0.40 for customers who do default. Define the following events. D: Default M: Missed one or more monthly payment in the first year
1
Create a probability tree diagram to show the conditional probabilities and the probabilities of
"and" events.
b. What is the probability that a customer missed one or more monthly payment in the first year
with the bank?
Given that a customer missed one or more monthly payment in the first year with the bank,
compute the probability that the customer will default.
a.
C.
Transcribed Image Text:1 Create a probability tree diagram to show the conditional probabilities and the probabilities of "and" events. b. What is the probability that a customer missed one or more monthly payment in the first year with the bank? Given that a customer missed one or more monthly payment in the first year with the bank, compute the probability that the customer will default. a. C.
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Consider the events D as the default and M as the missed one or more monthly payment in the first year.

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