The average rate of job submissions in a busy computer centre is 4 per minute. If it can be assumed that the number of submissions per minute interval is Poisson,calculate the probability that:(a) at least 15 seconds will elapse between any two jobs.(b) less than 1 minute will elapse between jobs.(c) If no jobs have arrived in the last 30 seconds, what is the probability that a job will arrive in the next 15 seconds?
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