You are visiting a small town in a foreign country with 3 major cell phone carriers, namely A, B…

You are visiting a small town in a foreign country with 3 major cell phone carriers, namely A, B…

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You are visiting a small town in a foreign country with 3 major cell phone carriers, namely A, B and C. It is known that
when a tourist dials a number on his/her phone, it will randomly connects to one of these carriers with 40%, 25% and
35% of the time, respectively. It is also known that 90% of the calls through carrier A, 95% of the calls through carrier
B and 80% of the calls through carrier C are successful in general. If you make a successful call on your phone, what
is the probability that the call goes through carrier A? (Use Baye’s Theorem)

Expert Answer:

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To solve this problem using Bayes theorem first need to calculate the conditional probability of the
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