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Warranty: You buy a cell phone for $100 and there is a 6% chance that it...

Warranty: You buy a cell phone for $100 and there is a 6% chance that it will fail. You can pay an additional $4 for the hassle free replacement warranty. This means that if it fails you will get a free replacement.

(a) Suppose you do not buy the warranty but will buy a second one if the first one fails(we will assume the second one does not fail.) and you will pay the full $100 for the second one. complete the following table to assist in calculating the expected cost for this phone. Enter probabilities to 2 decimal places.

outcomes

If it fails cost=x Probability= P(x)

It doesn't fail cost=x Probability= P(x)

(b) use the table to calculate the expected value of the cost of the phone. Round answer to the nearest penny

(c) considering the expected cost above and the price of the warranty($4) did you make the right decision to not buy the warranty and why?

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