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9 votes
9 votes
QUESTION 8 1 POINT

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 5 minutes
and 17 minutes. What is the probability that it takes Isabella more than 13 minutes to wait for the bus? Round your
answer to three decimal places.

User AlphaRL
by
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1 Answer

25 votes
25 votes

Answer:

0.706

Explanation:

To find the probability that it takes Isabella more than 13 minutes to wait for the bus, we can use the formula for the probability of a continuous uniform distribution. The probability of a continuous uniform distribution is defined as:

P(x) = (b - a)/(c - d)

In this formula, a and b are the lower and upper bounds of the distribution, respectively, and x is the outcome we are interested in. c and d are the lower and upper bounds of the range of possible outcomes, respectively.

In this case, the lower bound of the distribution is 5 minutes and the upper bound is 17 minutes. The lower bound of the range of possible outcomes is 0 minutes (since the amount of time Isabella waits for the bus can't be negative) and the upper bound is 17 minutes (since this is the maximum amount of time Isabella can wait for the bus).

Plugging these values into the formula, we get:

P(x > 13) = (17 - 5)/(17 - 0) = 12/17

Therefore, the probability that it takes Isabella more than 13 minutes to wait for the bus is approximately 0.706.

User Shrimpy
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