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# Let $f(t)$ be the probability density function for the time it takes you to drive to school in the morning, where $t$ is measured in minutes. Express the following probabilities as integrals.(a) The probability that you drive to school in less than 15 minutes(b) The probability that it takes you more than half an hour to get to school

## A. $\int_{0}^{15} f(t) d t$B. $\int_{30}^{\infty} f(t) d t$

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Applications of Integration

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### Video Transcript

So if 50 is given to me Probability, density, function what I am It takes two drive to school. He is my Jordan minutes. So the probability that the it will take less than 15 minutes is be off. He lives in equal to 15. Here is an equal to zero. You see the entitled 0 15 and 50 You deep. What? Probably there it'll take more than often are often hours, 30 minutes. So probably be off key. Better than eagles hearty is the integral rt to infinity if you speak duty.

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Applications of Integration

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