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The lifetime of a tube (X) and filament diameter (X) are distributed as a bivariate normal with following parameters: = 2000 hrs, = 0.10

The lifetime of a tube (X) and filament diameter (X) are distributed as a bivariatenormal with following 

The lifetime of a tube (X) and filament diameter (X) are distributed as a bivariate normal with following parameters: = 2000 hrs, = 0.10 inch, o = 2500, hrs o2 = 0.01 inch, p=0.87. The quality control manager wishes to determinehe life of each tubeby measuring the filament diameter. If a filament diameter is 0.095, what is the probabilityhat the tube will last 1900 hours?

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