A customer has approached a bank for a loan. Withoutfurther information, the bank believes there is a 4% chancethat the customer will default on the loan. The bank can runa credit check on the customer. The check will yield eithera favorable or an unfavorable report. From past experience,the bank believes that P(favorable report being received)|customer will default) 410, and P(favorable report| customer will not default) 19090. If a favorable report isreceived, what is the probability that the customer willdefault on the loan?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A customer has approached a bank for a loan. Without
further information, the bank believes there is a 4% chance
that the customer will default on the loan. The bank can run
a credit check on the customer. The check will yield either
a favorable or an unfavorable report. From past experience,
the bank believes that P(favorable report being received)|
customer will default) 4
1
0
, and P(favorable report|

customer will not default) 1
9
0
9
0
. If a favorable report is
received, what is the probability that the customer will
default on the loan?

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