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2.6 For property crime (burglary, car theft, etc) in a particular region, around 70% of the...

2.6 For property crime (burglary, car theft, etc) in a particular region, around 70% of the crimes are not solved within 30 days.

(show working out and formulas (no technology like excel or spss))

a) For 6 property crime cases under investigation, what is the probability that:

i) all of the cases will remain unsolved?

ii) exactly 4 cases will be solved?

iii) at least 4 cases will be solved?

b) For 40 property crime cases under investigation,

i) how many would you expect to be solved within 30 days?

ii) what is the probability that more than 15 of the cases will be solved within 30 days?

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