1.1. Defects occur along the length of a filament at a rate of A = 2 per...

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1.1. Defects occur along the length of a filament at a rate of A = 2 per foot.

(a) Calculate the probability that there are no defects in the first foot of the filament.

(b) Calculate the conditional probability that there are no defects in the second foot of the filament, given that the first foot contained a single defect.

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