Q3. Birds land on a bird table, on average, once every 15 minutes….Q3. Birds land on a bird table, on average, once every 15 minutes. If food has just been left, then the average time between birds landing changes to once every 5 minutes. a) Suppose that the gardener has just put out food for the birds. What is the probability that there will be 10 birds visiting the table within the first half hour?  b) What is the probability that there will be less than three minutes between one bird visiting and the next?  c) If food has not been put out for a while, what is the probability that at least two birds will visit within five minutes?  d) The averages quoted here refer to day-time visits only. A bird-watcher notes that at night, the probability of waiting one hour between one bird visiting and the next is 0.1. What is the average number of visits per hour? [Hint: you need to compute the parameter “lambda”]  MathStatistics and Probability ECON 2006
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