Refer to Assignment Problem 22 in Chapter 2, which gives a data set about the number of criminal convictions for 395 boys in north London. Imagine that you randomly chose one of the 365 boys from this data set.

a. What is the probability that this randomly chosen boy had 0 convictions?

b. What is the probability that this randomly chosen boy had 10 or more convictions?

c. If the randomly chosen boy had more than 9 convictions, what is the probability that he had exactly 14 convictions?

Data from problem 22

The Cambridge Study in Delinquent Development was undertaken in north London (U.K.) to investigate the links between criminal behavior in young men and the socioeconomic factors of their upbringing (Farrington 1994). A cohort of 395 boys was followed for about 20 years, starting at the age of 8 or 9. All of the boys attended six schools located near the research office. The following table shows the total number of criminal convictions by the boys between the start and end of the study. The data are available at whitlockschluter3e.zoology.ubc.ca.

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Number of convictions 00 11 22 33 44 55 66 77 Frequency 265265 4949 2121 1919 1010 1010 22 22