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It turns out that the current navigation algorithm has a serious problem with dead-end streets (the vehicle spins indefinitely). The "dead-end" engineers don't want to rework their design, so they are interested in determining the probability of this issue happening to their customers.
In the next ten years the car is expected to make 10,000 trips, and any trip is expected to come across a dead-end with a probability of 1:45000.
a. What is the probability that a driver will experience exactly one dead end spinning event (Think of which probability density function to use)?
b. Market research indicates if people had 1 spinning experience, they might not blame the vehicle and assume user error. The magic number before the vehicle manufacturer was to blame for this event was found to be 4.
Four spinnings by every driver and the company would be crushed by all the lawsuits. Calculate the probability of 4 or more spinnings in that 10 year period for a single car?
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