Question 6 In many animals, Island populations diverge in size from mainland populations of the same species. You are nterested in finding out if this is the case for monitorizards, which are widespread on the Australian continent and surrounding islands. Based on carier studies, you believe that the moon and variance for the lengths of adult mainland lizards we as follow Mean - 100 cmVariance - 100. You make the reasonable assumption that longth is a normal random variable: Before collecting any data on the Kangaroo Island Izards, you will use this prior knowledge to say something about their expected probability distribution. Use the promote in the code chunk below to write a sort that plots the PDF and the CDF velit lor de probability with one of Luan Donghe me pose Wheen eine asister and valu The narx wit Blolate pubbley dentis the cumsative distribution functionnant thing internative strane tin Calculate probati other Plot the CDF Question 7 Write another script to answer the following questions about what you expect to find when you measure Kangaroo island lizards, assuming that they follow the same probability distribution as mainland lizards. Inspect the plots you made in 1 to check if your answers make sense. What a tho probability density for a longth of 75 cm? What is the probability that a lirard will be... Los than or equal to 75 cm? Greater than 120 cm Beton 95 and 11 50 At least 10 om dit torone from the man in either direction . Purther than 0.7 standard deviation below the mean? Clower than 1. standard deviation to the mean? Further than 1.5 standard deviations from the mean? - What are the quarties of the distribution? That is what are the 0.25, 0.5, and 0.75 quantiles + 2/3 of observations are expected to the below what value 908 or obuervations are expected to the above what value? Question 6 In many animals, Island populations diverge in size from mainland populations of the same species. You are nterested in finding out if this is the case for monitorizards, which are widespread on the Australian continent and surrounding islands. Based on carier studies, you believe that the moon and variance for the lengths of adult mainland lizards we as follow Mean - 100 cmVariance - 100. You make the reasonable assumption that longth is a normal random variable: Before collecting any data on the Kangaroo Island Izards, you will use this prior knowledge to say something about their expected probability distribution. Use the promote in the code chunk below to write a sort that plots the PDF and the CDF velit lor de probability with one of Luan Donghe me pose Wheen eine asister and valu The narx wit Blolate pubbley dentis the cumsative distribution functionnant thing internative strane tin Calculate probati other Plot the CDF Question 7 Write another script to answer the following questions about what you expect to find when you measure Kangaroo island lizards, assuming that they follow the same probability distribution as mainland lizards. Inspect the plots you made in 1 to check if your answers make sense. What a tho probability density for a longth of 75 cm? What is the probability that a lirard will be... Los than or equal to 75 cm? Greater than 120 cm Beton 95 and 11 50 At least 10 om dit torone from the man in either direction . Purther than 0.7 standard deviation below the mean? Clower than 1. standard deviation to the mean? Further than 1.5 standard deviations from the mean? - What are the quarties of the distribution? That is what are the 0.25, 0.5, and 0.75 quantiles + 2/3 of observations are expected to the below what value 908 or obuervations are expected to the above what value
