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6002Exactly Four in an Eighteen-Minute WindowCancellations hit an order book as a Poisson process with rate 10 per hour. What is the probability that exactly 4 cancellations occur in an 18-minute window? Give a decimal to three places.概率简单数值题未尝试免费6003Ratio of Adjacent Count ProbabilitiesTrades print as a Poisson process with rate 12 per hour. Over a 20-minute window with count N, what is the ratio P(N=5)/P(N=4)? Give a decimal.概率简单数值题未尝试免费6004Short-Window Linear Approximation ErrorSpikes arrive at a detector as a Poisson process with rate 3 per minute. For a very short 0.5-second window the probability of at least one spike is often approximated by t. What is the absolute error of that approximation, i.e. t - P(N\ge 1)? Give a decimal to four places.概率中等数值题未尝试免费6005Empty Interval Between Two Clock TimesAlarms trip as a Poisson process with rate 6 per hour. What is the probability of zero alarms during the interval from minute 10 to minute 25 (a 15-minute span starting partway through)? Give a decimal to three places.概率中等数值题未尝试免费6006Waiting Time Exceeds Three Quarters of an HourService requests arrive as a Poisson process with rate 4 per hour. What is the probability that the waiting time to the first request exceeds 45 minutes? Give a decimal to three places.概率简单数值题未尝试免费