In 2020 in Newport Beach there were on average around 13 grey whale sightings each week. Let X be the number of grey whale sightings each week in 2021, where we assume that E[X] = 13 (a) Assume that the expected value of X is a constant weekly rate and that the number of what sightings is independent of any other week. What is the distribution of X? (b) Using the distribution from part (a), what is the probability that at least 31 what sightings are reported in Newport Beach? Round your answer to 3 decimal places. (c) Suppose that the number of whale sightings in any increment of time is independent of the number of accidents in any other increment of time. 1) What is the probability that at least 3 sightings happen tomorrow? 2) What is the probability that there are no whale sightings tomorrow? Round all of your answers to 3 decimal places. (d) Using the assumptions from above, how many whale sightingss would we expect to see in Newport Beach, CA in one year? Assume that the weeks are independent and that there are 52 weeks in one year.

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