(Answered) Number of icebergs on radar

Statistics

Problem: A ship show measurable size icebergs on its radar, they appear on the ship's radar on average of 3 per hour

Required:

Question 1: Let I be the number of icebergs on radar between 3:00pm and 3:30pm. What's the probability that at least one iceberg appeared on radar between this time? what's the distribution, parameter(s) and support?

Question 2: What's the average amount of time betwwen the 3rd and 4th icebergs appear on radar? Include time units. What is the distributions and parameter(s)?

Question 3: Crew saw an iceberg on radar at 4:00pm. By 4:22pm they hadn't seen the next. What's the probability that they see the next one before 4:45pm?

Question 4: Suppose 7 appeared between 5:30pm and 7:30pm. What's the probability 2 of those appeared between 6:00pm and 6:30pm?

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