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Alex Is in a Hurry to Get to Work and Is

question 116

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Alex is in a hurry to get to work and is rushing to catch the bus. She knows that the bus arrives every six minutes during rush hour, but does not know the exact times the bus is due. She realizes that from the time she arrives at the stop, the amount of time that she will have to wait follows a uniform distribution with a lower bound of 0 minutes and an upper bound of six minutes. What is the probability that she will have to wait more than two minutes?


Definitions:

Weighted Average

A calculation that takes into account the varying degrees of importance of the numbers in a dataset, assigning weights to each number.

Expected Time

The estimated time assumed for the completion of a task or project, often used in planning and scheduling.

Optimistic

A mindset or attitude that tends to expect the most favorable outcomes of situations or believes that good ultimately predominates over evil in the world.

Pessimistic

A tendency to anticipate unfavorable outcomes or emphasize the negative aspects of a situation.

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