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.

Using proportions, it is found that the marginal distribution is:

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(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%