Question

A random sample of adults were asked about their education level and favorite leisure activity. The results are recorded in the table below:

		Favorite Leisure Activity
Education Level	Outdoors	Games	Other	Total
High School	17	25	32	74
College	28	38	14	80
Graduate School	31	16	23	70
Total	76	79	69	224

1. Find the marginal distribution (in percents) for favorite leisure activity.
2. Find the conditional distribution (in percents) of education level given that games were the favorite leisure activity.
3. What percent of those with a graduate degree said that games were their favorite leisure activity?
4. What percent of those that enjoyed some other leisure activity had attended college?
5. What percent of all adults surveyed were high school graduates that said spending time outside was their favorite leisure activity?

Answer 1

1) marginal

Education Level	Outdoors	Games	Other	Total
High School	7.59%	11.16%	14.29%	33.04%
College	12.50%	16.96%	6.25%	35.71%
Graduate School	13.84%	7.14%	10.27%	31.25%
Total	33.93%	35.27%	30.80%	100.00%

2)

conditional

Education Level		Games
High School		31.65%
College		48.10%
Graduate School		20.25%
Total		100.00%

3)

percent of those with a graduate degree said that games were their favorite leisure activity=16/70 = 22.86%

4) percent of those that enjoyed some other leisure activity had attended college = 14/224=6.25%

5) percent of all adults surveyed were high school graduates that said spending time outside was their favorite leisure activity=17/74 =  22.97%