In a lake, Peter catches fishes in an average rate of 3 fishes per hour. (Using...

In a lake, Peter catches fishes in an average rate of 3 fishes per hour. (Using Poisson distribution, assume Peter always
catches one fish at a time and the events of catching each fish are independent.)
(a) [10 points] At 2:00PM, if it’s known that Peter caught the previous fish at 1:50PM, what is the probability that he will catch the next fish before 2:30PM?
(b) [10 points] Assume Peter starts catching fish at 9:00AM, what is the probability that he will catch the 2nd fish between 9:30 and 9:50AM?

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orchestra answered 1 year ago

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