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Probability: Boat Schedules and Weather

1. During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour. In a 2 hour period, what is the probability that 2 boats arrive?
Please provide the answer in the form 0.xxxx or .xxxx.

2. A researcher wants to simulate sunny and rainy days in her town for a 3-week period. What is the minimum number of digits the student must obtain from a random number table for each observation if it rained on two-fifths of the days over the past several years at this time of the year? Assume that days can be classified historically as either sunny or rainy.

Solution Summary

Using the Poisson distribution, this response calculates the probability that two boats will arrive within a 2 hour period and the number of digits a student must obtain from a random number table.