Question: please help with this question 1. (30 points) Small jobs arrive according to a Poisson process with rate 27 > 0, and large jobs arrive

please help with this question

1. (30 points) Small jobs arrive according to a Poisson process with rate 27\\ > 0, and large jobs arrive according to a Poisson process with rate 7x > 0. Assume that the two Poisson processes are independent. (a) What is the probability that the first job to arrive is a small job? (b) What is the probability that exactly 3 small jobs arrive before the first large job? (c) What is the expected number of small jobs to arrive before the first large job arrives

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