Fredrik and ulrich both received soap bubble machines for, Ask an Expert

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Fredrik and Ulrich both received soap bubble machines for Christmas. The machines emit bubbles according to independent Poisson processes with intensities 3 and 2 (bubbles per minute), respectively. Suppose they turn them on at the same time.

(a) Find the probability that Fredrik's machine produces the first bubble.

(b) Find the probability that Ulrich's machine produces 3 bubbles before Fredrik's first bubble.

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