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Over the last few months, Ithaca Precision Instruments (IPI) obtained the following measurements on a key quality characteristic of its product: Observed Quality Characteristic Probability

Over the last few months, Ithaca Precision Instruments (IPI) obtained the following measurements on a key quality characteristic of its product:

Observed Quality Characteristic Probability
0.46 0.05
0.47 0.10
0.48 0.12
0.49 0.15
0.49 0.30
0.51 0.12
0.52 0.10
0.53 0.05
0.54 0.01

The company's experience has been that a customer will reject a product that deviates from the target quality characteristic of 0.50 by more than 0.040. Each rejection costs the firm an estimated $5.20. Determine the expected total quality loss of the observed quality characteristic for IPI. (Round intermediate and final answer of to 4 decimal places.)

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