James is interested in the relationship between weather conditions and whether the downtown train runs on time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed. Here are his results:

Weather condition On-time Delayed Total

Sunny 167167167 333 170170170

Cloudy 115115115 555 120120120

Rainy 404040 151515 555555

Snowy 888 121212 202020

Total 330330330 353535 365365365

Find the marginal distribution of arrival status in percentages.

Round to the nearest whole percent.

On-time:

/%%percent

Delayed:

/%%percent

Stuck? Use a hint.

Question

Mathematics

Devin

7 February, 18:28

James is interested in the relationship between weather conditions and whether the downtown train runs on time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed. Here are his results:

Weather condition On-time Delayed Total

Sunny 167167167 333 170170170

Cloudy 115115115 555 120120120

Rainy 404040 151515 555555

Snowy 888 121212 202020

Total 330330330 353535 365365365

Find the marginal distribution of arrival status in percentages.

Round to the nearest whole percent.

On-time:

/%%percent

Delayed:

/%%percent

Stuck? Use a hint.

+1

Answers (1)

Know the Answer?

George French · Answer 1

(i) 90%

(ii) 10%

Step-by-step explanation:

Given the data as;

Weather condition on-time Delayed Total

Sunny 167 3 170

Cloudy 115 5 120

Rainy 40 15 55

Snow 8 12 20

Total 330 35 365

The marginal distribution of arrival status in percentages = arrival status total/total sum * 100

(i) on-time = 330/365 * 100 = 90.42 = 90%

(ii) Delayed = 35/365 * 100 = 9.58 = 10%