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In: Statistics and Probability

7.  The amount of time it takes Alice to make dinner is continuous and uniformly distributed between...

7.  The amount of time it takes Alice to make dinner is continuous and uniformly distributed between 10 minutes and 54 minutes. What is the probability that it takes Alice more than 47 minutes to finish making dinner given that it has already taken her more than 40 minutes in the making of her dinner?

9.

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 4 minutes and 13 minutes. What is the probability that it takes Isabella more than 8 minutes to wait for the bus? Round your answer to three decimal places.

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7.  The amount of time it takes Alice to make dinner is continuous and uniformly distributed between 10 minutes and 54 minutes. What is the probability that it takes Alice more than 47 minutes to finish making dinner given that it has already taken her more than 40 minutes in the making of her dinner?

Answer: We know that:

We have to find:

Therefore, the probability that it takes Alice more than 47 minutes to finish making dinner given that it has already taken her more than 40 minutes in the making of her dinner is 0.50

9. The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 4 minutes and 13 minutes. What is the probability that it takes Isabella more than 8 minutes to wait for the bus?

Answer: We know that:

We have to find:

  

Therefore, the probability that it takes Isabella more than 8 minutes to wait for the bus is 0.556

orchestra answered 1 year ago
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