After complaints, a printer company sends out technicians to diagnose the root p

Question

After complaints, a printer company sends out technicians to diagnose the root problem. The company sells standard and premium printers. 40% of the printers are premium. Of the standard printers, 20% were broken beyond repair. Of the premium printers 60% were still repairable (they either are broken beyond repair or repairable).

In your free response to the questions below, compute the solutions, BUT clearly interpret what the solution value means in the context of what probability really means.

1. Summarize the data by creating a 2 x 2 contingency table. Use the table option in your response box to create a table of data (looks like a rectangle with a grid inside of it).

2. What is the probability that a printer is repairable?

3. What is the probability that a randomly selected broken beyond repair printer is a premium printer?

4. Using computations to justify, if customer support gets a call from a customer complaining of a broken printer that is determined to be repairable, is it more likely that the printer is a standard printer or a premium printer?

Explanation / Answer

1)

2)

probability that a printer is repairable =0.72

3)

probability that a randomly selected broken beyond repair printer is a premium printer =0.16/0.28 =0.5714

4)

probability that a randomly selected repairable printer is a premium printer =0.24/0.72=0.33

as this is less then 0.5 ; therefore it is more likely that it is standard printer,

repairable broken Total std printer 0.48 0.12 0.6 premium printer 0.24 0.16 0.4 Total 0.72 0.28 1

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