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From a survey of the households in Grayson, Missouri, the crime figures shown in the accompanying...

From a survey of the households in Grayson, Missouri, the crime figures shown in the accompanying table were estimated.

Crime Number Reported Number Not Reported Total

Murder 12 12 24

Robbery 145 105 250

Assault 85 177 262

Rape 12 60 72

Auto theft 314 62 376

Total 568 416 984

a) What is the probability that a crime is reported?

b) What is the probability that a crime is reported, given that an assault occurs?

c) What is the probability that a non-reported crime is either a robbery or an assault?

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