please solve using R or R studio

2. Most desert tortoises live in creosote bush scrub habitat at elevations ranging from 1,000 to 3,000 feet above sea level, Their habitat covers over a relatively large region including the Mojave and Sonoran Deserts. In some areas, the number of desert tortoises has decreased by 90% due primarily to human activity. A study area in Organ Pipe Nationals Monument has 400 Sonoran desert tortoises. Fifty are captured, tagged, and released. A certain time later, 20 of the 400 are captured. (a) What is the probability that exactly one of the 20 in the second capture are tagged? State clearly what assumptions you are using. (b) Find the probability that 0,1,2,-.. , 20 that are tagged. Check that the sum is 1. (c) Use the sample command to perform 10000 simulations of the capture, tag, and release situation described above. Give a table of outcomes and compare the proportion in the simulation to the probabilities computed in part (b). 2. Most desert tortoises live in creosote bush scrub habitat at elevations ranging from 1,000 to 3,000 feet above sea level, Their habitat covers over a relatively large region including the Mojave and Sonoran Deserts. In some areas, the number of desert tortoises has decreased by 90% due primarily to human activity. A study area in Organ Pipe Nationals Monument has 400 Sonoran desert tortoises. Fifty are captured, tagged, and released. A certain time later, 20 of the 400 are captured. (a) What is the probability that exactly one of the 20 in the second capture are tagged? State clearly what assumptions you are using. (b) Find the probability that 0,1,2,-.. , 20 that are tagged. Check that the sum is 1. (c) Use the sample command to perform 10000 simulations of the capture, tag, and release situation described above. Give a table of outcomes and compare the proportion in the simulation to the probabilities computed in part (b)