Question

In: Statistics and Probability

There are 3 users, Smart, Tab, or PC that attempt to access an online store. The...

There are 3 users, Smart, Tab, or PC that attempt to access an online store. The probability that seeing a smart is 0.5, Tab is 0.25, PC is 0.25. They either request either audio or video. Smart request audio with probability 0.5; tab request audio with probability of 0.4; and PC request audio with probability 0.3.

a) What is the probability that a user request video is a tablet?

b) What is the probability that a user request audio is a smart?

c) What is the probability that a user is PC and request video?

Solutions

Expert Solution

Let A denotes Audio and V denotes Video.

Given:

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a) By using Bayes' theorem, the probability that a user request video is a tablet is:

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b) By using Bayes' theorem, the probability that a user request audio is a smart is:

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c) The probability that a user is PC and request video is:


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