Question: Three solar batteries are installed in each DPC communications satellite placed in orbit. Testing indicates that each of the batteries is 75% likely to remain

Three solar batteries are installed in each DPC communications satellite placed in orbit. Testing indicates that each of the batteries is 75% likely to remain in good working order for at least 10 years. The satellite will function as designed if at least two of the three batteries remain in good working order. Assuming the batteries are independent, how likely is it that the satellite will function as designed for at least 10 years?

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