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## AP®︎/College Statistics

### Course: AP®︎/College Statistics>Unit 1

Lesson 4: Statistics for two categorical variables

# Conditional distributions

You might need: Calculator

## Problem

James is interested in the relationship between weather conditions and whether the downtown train he sometimes takes runs on time. For a year, James records whether each day is sunny, cloudy, rainy, or snowy, as well as whether this train arrives on time or is delayed. His results are displayed in the table below.
Weather conditionOn timeDelayedTotal
Sunny$167$$3$$170$
Cloudy$115$$5$$120$
Rainy$40$$15$$55$
Snowy$8$$12$$20$
Total$330$$35$$365$
Give the conditional distribution of weather condition for delayed trains.
Round your answers to the nearest tenth of a percent.
Delayed
Sunny
$\mathrm{%}$
Cloudy
$\mathrm{%}$
Rainy
$\mathrm{%}$
Snowy
$\mathrm{%}$
Stuck?
Stuck?