Mr. Hood is an archer. He can regularly hit a target having a 3- ft. diameter and sometimes hits the bull's-eye, which is 0.5 ft. in diameter, from 50 ft. away. Suppose the miss is measured as the radial distance from the center of the target and, furthermore, that the radial miss distance is a Rayleigh random variable with a PDF of the form fR(r) = exp( - 23 )u(r), with the parametero' having a value of of = 0.11 (sq.-ft.). Determine the probability of Mr. Hood's hitting the bull's-eye.Mr. Hood is an archer. He can regularly hit a target having a 3- ft. diameter and sometimes hits the bull's-eye, which is 0.5 ft. in diameter, from 50 ft. away. Suppose the miss is measured as the radial distance from the center of the target and, furthermore, that the radial miss distance is a Rayleigh random variable with a PDF of the form fR(r) = Leap( - 2 )u(r), with the parametero' having a value of o' = 0.24 (sq.-ft.). Determine the probability of Mr. Hood's hitting the bull's-eye given that he hit's the target.Mr. Hood is a good archer. He can regularly hit a target having a 3-ft. diameter and often hits the bull's-eye, which is 0.5 ft. in diameter, from 50 ft. away. Suppose the miss is measured as the radial distance from the center of the target and, furthermore, that the radial miss distance is a Rayleigh random variable with a PDF of the form fR(r) = exp( - 202 :Ju(r), with the parametero' having a value of 0.47 (sq.-ft.). Determine the probability of Mr. Hood's hitting the target