Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.