You are interested in doing a project on jail sentences and recidivism. You find publicly available data listing plea deals and court decisions resulting in jail sentences for Middlesex County, Massachusetts. The list contains de-identified information on offense, sex, age, and prison of incarceration. You scrape the data and perform some preliminary analysis. You wish to contact the prisoners and ask each to participate in a survey. You then survey those who are willing and analyze the resulting data. Suppose you conclude, later in continuing research, that recidivism {whether released prisoners commit additional crimes) is a function of length oforiginal sentence, S. distance of prison from hometown, D, and sex of offender, M f: 1 if male). In particular, the probability of recidivism, P (R) , is 3/32 -l 17/40 + 0.1M. Suppose also that S follows a uniform distribution U (1, 15) ; D follows an exponential distribution exp (0.05) ; and 80% of offenders are male. What is the expected recidivism rate? Piease express your answer to the nearest whore percentage, i.e ifyour answer is 23.2, please enter 23 and DO NOT enter in a % sign