Please using RMarkdown to show code and work, thank you so much

3. On average about 1500!) earthquakes in New Zealand each year. however. of these the majority are not felt. Data from GeoNet indicates that earthquakes of magnitude 5 or higher occur at a rate of 55 per year.l The number of earthquakes occurring over time can be modelled by a Poisson random variable. Total for Question 3: 1|] Hurts [a] What is the probability that exactly 5|] earthquakes of magnitude 5 or higher are observed in [3 nut-in} New Zealand in a given year? Compute using the relevant formula all using R. {b} What is the probability that ll or fewer earthquakes of magnitude 5 or higher are observed in {3 mrlzr} New Zealand in a given year? Compute using the relevant formula using EL {c} IVerify your answers to parts {a} and [b] using simulation with 1'}: oi a. {4 trial-in]