1) 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 listcontains de-identified information onoffense, sex, age, and prison of incarceration.You scrape the data and perform some preliminary analysis.Youwish to contact the prisoners and ask each to participate in a survey.You then survey those who are willing and analyze the resulting data.

You must obtain approval from your IRB before ______________.

a)You administer your survey.

b)You do a any preliminary analysis.

c)You contact the prisoners.

d)You scrape the data.

2)Suppose you conclude, later in continuing research, that recidivism (whether released prisoners commit additional crimes) is a function of length of original sentence,S

, distance of prison from hometown,D,and sex of offender,M(=1if male). In particular, the probability of recidivism,P(R),isS/32+D/40+0.1M. Suppose also thatSfollows a uniform distributionU(1,15);Dfollows an exponential distributionexp(0.05); and80%of offenders are male.

What is the EXPECTED RECIDIVISM RATE?

3) Sara Elison needs to commute to MIT everyday. She currently lives near campus, but is considering moving to a place near Fenway stadium (Boston's baseball stadium). Her colleagues who live near there tell her that the commute from the office to the Fenway is independent across days and follows aN(20,9)

on days where there is a home game at Fenway andN(12,4)

on other days.

What is the probability that the commute on a particular game day exceeds 22 minutes?

What is the probability that all commutes on a particular 3-game homestand (3 games played at Fenway) exceed 22 minutes?

What is the probability that the commute on a particular game day exceeds the commute on a particular non-game day?