A summer day in Ames has a 30% chance to have high temperatures over 95 degrees. The probability that on a random summer day, the temperature will rise over 95 degrees AND our AC fails is 10%. What is the conditional probability that our AC fails on a random summer day, given that the temperature rises over 95 degrees?

A summer day in Ames has a 30% chance to have high temperatures over 95 degrees. The probability that on a random summer day, the temperature will rise over 95 degrees AND our AC fails is 10%. What is the conditional probability that our AC fails on a random summer day, given that the temperature rises over 95 degrees?

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Description: A summer day in Ames has a 30% chance to have high temperatures over 95 degrees. The probability that on a random summer day, the temperature will rise over 95 degrees AND our AC fails is 10%. What is the conditional probability that our AC fails on

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

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A summer day in Ames has a 30% chance to have high temperatures over 95 degrees. The probability that on a random summer day, the temperature will rise over 95 degrees AND our AC fails is 10%.
What is the conditional probability that our AC fails on a random summer day, given that the temperature rises over 95 degrees?

a. 1/3, or 33.33... percent

b. 30/10, in other words 3.00

c. Not enough information given.

d. 0.03

e. 0.003

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