Please help answer this question:You have been informed that the assessor will visit your home sometime between 10:00 am and 12:00 pm. it is reasonable to assume that his visitation time is uniformly distributed over the specified two-hour interval. suppose you have to run a quick errand at 10:00 am.a. If it takes 30 minutes to run the errand, what is the probability that you will be back before the assessor visits?b. If it takes 60 minutes to run the errand, what is the probability that you will be back before the assessor visits?

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Asked Sep 23, 2019
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Please help answer this question:

You have been informed that the assessor will visit your home sometime between 10:00 am and 12:00 pm. it is reasonable to assume that his visitation time is uniformly distributed over the specified two-hour interval. suppose you have to run a quick errand at 10:00 am.

a. If it takes 30 minutes to run the errand, what is the probability that you will be back before the assessor visits?

b. If it takes 60 minutes to run the errand, what is the probability that you will be back before the assessor visits?

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Expert Answer

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Step 1

Probability density function:

Let x denotes the time of the assessor visits home. Here, X ~ U(10, 12).

The probability density function is given as follows.

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1 f(x)12-10) 1 2

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Step 2

a. Computation of probability that you will be back before the assessor visits, if it takes 30 minutes to run the errand:

The probability that you will be back bef...

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12 P(x>10.5)= d 10.5 1 10.5 1 (12-10.5) 2 1.5 2 0.75

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