Gang research study. The National Gang Crime Research Center (NGCRC) has developed a six-level gang classification system for both adults and juveniles. The NGCRC collected data on approximately 7,500 confined offenders and assigned each a score, using the gang classification system. (Journal of Gang Research, Winter 1997.) One of several other variables measured by the NGCRC was whether or not the offender ever carried a homemade weapon (e.g., a knife) while in custody. The table on p. 138 gives the number of confined offenders in each of the gang score and homemade weapon categories. Assume one of the confined offenders is randomly selected.
a. Find the probability that the offender has a gang score of 5.
b. Find the probability that the offender has carried a homemade weapon.
c. Find the probability that the offender has a gang score below 3.
d. Find the probability that the offender has a gang score of 5 and has carried a homemade weapon.
e. Find the probability that the offender has a gang score of 0 or has never carried a homemade weapon.
f. Are the events described in parts a and b mutually exclusive? Explain.
g. Are the events described in parts a and c mutually exclusive? Explain.
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