SOLUTION: An owner of a fine dining restaurant estimates that the probability that his company application with CSR will be approved is 0.55; the probability that the application with the DO

Question 1201204: An owner of a fine dining restaurant estimates that the probability that his company application with CSR will be approved is 0.55; the probability that the application with the DOH will be approved is 0.65, and the probability that it will pass with both CSR and DOH is 0.45. Determine the probability that the application with CSR will be approved given that the application with DOH will also be approved.
Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
.
An owner of a fine dining restaurant estimates that the probability
that his company application with CSR will be approved is 0.55;
the probability that the application with the DOH will be approved is 0.65,
and the probability that it will pass with both CSR and DOH is 0.45.
Determine the probability that the application with CSR will be approved
given that the application with DOH will also be approved.
~~~~~~~~~~~~~~~~

They want you determine the conditional probability P(CSR approved | DOH approved).


This probability is, by the definition, the probability that both CSR and DOH are approved
divided by the probability P(DOH is approved)


    P(CSR approved | DOH approved) =  =  = 0.6923  (rounded).    ANSWER

Solved.

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