# What is the probability of observing a cell with between 3 and 5 pits (λcomputed from all cells in the image)?

Learning Goal: I’m working on a r question and need support to help me learn.1.Calculate the probability of observing a cell with 15 pits based on the sampleintensity (λ computed from all cells in the image). Write a sentence interpretingwhat this means. Include commands used to generate the answer. (out of 2)2. What is the probability of observing a cell with between 3 and 5 pits (λcomputed from all cells in the image)? What are American values; what do we stand for? Write a sentence interpreting what thismeans. Include commands used to generate the answer. (out of 3)3. There are two important assumptions to using the Poisson distribution weshould consider.The probability that an event will occur within a given unit must be the samefor all units (i.e. the underlying process governing the phenomenon must beinvariant)The number of events occurring per unit must be independent of the numberof events occurring in other units (no interactions/dependencies).Write short paragraph (200-300 words) explaining why or why not theseassumptions are met in this analysis of the weathering pits dataset. (out of 5)4. Explore the assumption of independence by calculating the probability of eachobserved count and noting where on the image any counts with a probabilityless than 0.10 occur. Comment on whether these are distributed randomly overthe image or clumped in specic parts of the image and what this means for theindependence assumption. Include an image showing which cells have anunusual (i.e., p < 0.10) number of pits. (out of 5)

Requirements: 200-300 words | .doc file