Question

A computer maker receives parts from three suppliers, S1, S2, and S3. Fifty percent

Answer 1

The Bayes' theorem is being used to compute the posterior probabilities. This is a way to measure probability distribution. It's being used to estimate the posterior probabilities using the prior probabilities. Following are the solution to the given question:

a)

By the law of total probability, every probability area is divided into $\bold{S1,S2,S3}$.

$\to \bold{P(D) = P(D|S1)P(S1) + P(D|S2)P(S2) + P(D|S3)P(S3)}$

b)

Using the Bayes' rule:

$\to \bold{P(S2|D) = P(D|S2) \frac{P(S2)}{P(D)}}$

Therefore, the final answer is "$\bold{ P(D|S1)P(S1) + P(D|S2)P(S2) + P(D|S3)P(S3)}$ and $\bold{P(D|S2) \frac{P(S2)}{P(D)}}$"

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