What are the posterior probabilities of good day

Reference no: EM13337903

A company manufactures thousands of wigets each day. On a good day,only 0.6% of the production is defective. However, bad days occur 15% ofthe time, and 11% of the production is defective on these days. A sample of ?ve wigets is chosen at random from the daysproduction. Each wiget in the sample is inspected to determine if it is defective ornot defective.

The number of defective wigets found will be between 0 and5.

Using a spreadsheet, answer the following questions orNOT:

a) What are the probabilities of ?nding 0–5 (inclusive)defective wigets in the sample for each type of day?

b) What are the posterior probabilities of a “good day”and “bad day” conditional on the number of defective wigets?

Reference no: EM13337903

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