Answered

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You visit a friend who lives in the suburbs of Chicago. You decide to take a commuter train into the city. Your friend says that a train stops at the station every 30 minutes. Without any more information, you logically apply the uniform probability distribution and determine that you will wait between 0 and 30 minutes for a train with a probability of 1. 0. You arrive at the train station and start timing your wait time. A train arrives 35 minutes later. A. Given your friend’s information, what was the probability that a train arrives in 35 minutes or more?

Sagot :

Considering the friend's information, using the uniform distribution, it is found that there is a 0% probability that a train arrives in 35 minutes or more.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the wait time is uniformly distributed between 0 and 30 minutes, hence the bounds are a = 0 and b = 30.

The probability that a train arrives in 35 minutes or more is given by:

[tex]P(X > 35) = \frac{30 - 35}{30 - 0}[/tex]

Negative value, which is not an acceptable probability, hence, there is a 0% probability that a train arrives in 35 minutes or more.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

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