Question

A safety engineer claims that all rush hour automobile accidents are uniformly distributed between 2:30 pm...

  1. A safety engineer claims that all rush hour automobile accidents are uniformly distributed between 2:30 pm and 5:15 pm. Assume that this is correct and find the probability of car getting into a rush hour accident between 3:48 pm and 4:07 pm.

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Answer #1

A safety Engineer claims that all rush hour automobile accidents are uniformly distributed between 2:30 pm and 5:15 pm.

We have to find the probability of a car getting into an accident between 3:48 pm and 4:07 pm.

Now, if we convert the hours into minutes, 2:30 becomes 150, 5:15 becomes 315.

3:48 becomes 228 and 4:07 becomes 247.

Som what we have to find is

So, the probability of getting into an accident between 3:48 and 4:07 pm, is approximately 0.12.

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