Police succeeded in tracking 7% of stolen bicycles. a.) Approximately 1600 bikes are stolen in one city area per year. What is the the probability that the police will succeed in tracing more than 100 stolen bicycles?
2026-04-09 03:34:15.1775705655
Police succeeded in tracking 7% of stolen bicycles
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A binomial model would be appropriate. Let $X$ be the number of stolen bicycles that are tracked. Then $X\sim B(1600,0.07)$. You can then compute $$P(X>100)=1-P(X\leq 100)=1-0.1290=\fbox{0.8710} \text{ (to 4d.p.)}$$