In: Statistics and Probability
Let U be the event that a randomly chosen employee of an insurance company has been an underwriter. Let C be the event that a randomly chosen employee of an insurance company has been a claims adjuster. Identify the answer which expresses the following with correct notation: Of all the employees of an insurance company who have been underwriters, the probability that a randomly chosen employee of an insurance company has been a claims adjuster. Select the correct answer below:
P(C) AND P(U)
P(C|U)
P(U|C)
P(U AND C)
Solution:
U : Underwriter
C : Claims Adjuster
"Of all the employees of an insurance company who have been underwriters, the probability that a randomly chosen employee of an insurance company has been a claims adjuster"
i.e. Find P(Claims Adjuster given that underwriters)
i.e. P(C | U)