There have been numerous attempts that relate happiness with income. In a recent survey, 290 individuals were asked to evaluate happiness (Yes or No) and income (Low, Medium, or High). The accompanying table shows a portion of the data.

a. Use the data to construct a contingency table. 

b. Find the probability that a randomly selected individual feels happy. 

c. Find the probability that a low-income individual feels happy. Find the corresponding probabilities for medium income and high-income individuals. 

d. Is income related to happiness? Explain using probabilities.

Individual	Income	Happy?
1	Low	No
2	Low	Yes
3	Medium	Yes
4	Medium	Yes
5	High	No
6	High	Yes
7	Low	No
8	Medium	Yes
9	Medium	Yes
10	Medium	Yes
11	High	Yes
12	High	No
13	Low	No
14	Medium	Yes
15	Medium	Yes
16	High	No
17	Low	No
18	Low	Yes
19	Low	No
20	Medium	No
21	Medium	No
22	Medium	No
23	Low	Yes
24	High	No
25	High	Yes
26	Low	No
27	Low	Yes
28	Low	Yes
29	High	Yes
30	High	No
31	Medium	Yes
32	Medium	No
33	High	Yes
34	Medium	No
35	Medium	No
36	High	Yes
37	Low	Yes
38	High	Yes
39	Medium	No
40	High	No
41	Low	Yes
42	High	Yes
43	High	No
44	High	Yes
45	Low	Yes
46	Low	Yes
47	Medium	No
48	Medium	Yes
49	Low	No
50	Medium	No
51	Medium	No
52	High	Yes
53	High	No
54	Low	No
55	High	Yes
56	High	Yes
57	High	Yes
58	Medium	Yes
59	Medium	No
60	Medium	No
61	Medium	No
62	Low	No
63	Low	No
64	Medium	Yes
65	Low	Yes
66	Medium	No
67	High	No
68	Medium	No
69	High	Yes
70	High	No
71	High	No
72	Medium	No
73	High	Yes
74	Low	Yes
75	High	Yes
76	High	Yes
77	Low	No
78	Medium	Yes
79	Medium	Yes
80	Medium	Yes
81	High	No
82	High	Yes
83	Low	No
84	Medium	Yes
85	Medium	No
86	Medium	No
87	Low	No
88	Low	No
89	High	No
90	High	Yes
91	High	Yes
92	Low	No
93	Low	No
94	Medium	Yes
95	Medium	Yes
96	High	Yes
97	Low	No
98	Medium	No
99	Medium	Yes
100	High	No
101	Low	Yes
102	Medium	Yes
103	Medium	No
104	Medium	Yes
105	Low	No
106	Low	Yes
107	Medium	Yes
108	High	No
109	Low	No
110	High	Yes
111	Low	No
112	High	Yes
113	Low	Yes
114	Low	No
115	High	Yes
116	Medium	No
117	High	Yes
118	Medium	Yes
119	High	Yes
120	Medium	Yes
121	Medium	Yes
122	Medium	No
123	Medium	No
124	Medium	Yes
125	Low	Yes
126	High	Yes
127	Medium	No
128	Medium	No
129	Medium	Yes
130	Medium	Yes
131	Low	Yes
132	High	No
133	Medium	Yes
134	Medium	Yes
135	Low	No
136	Medium	Yes
137	Low	No
138	Medium	No
139	Low	Yes
140	High	Yes
141	High	Yes
142	High	No
143	Low	No
144	High	Yes
145	High	No
146	Medium	No
147	Medium	Yes
148	Medium	Yes
149	Medium	Yes
150	High	Yes
151	Medium	No
152	Medium	No
153	Medium	Yes
154	High	Yes
155	High	Yes
156	High	No
157	Medium	Yes
158	Medium	Yes
159	Low	No
160	High	No
161	High	Yes
162	Medium	Yes
163	Medium	Yes
164	Low	Yes
165	High	Yes
166	Low	Yes
167	Medium	Yes
168	Medium	Yes
169	Low	Yes
170	Low	No
171	Low	No
172	Medium	Yes
173	Low	Yes
174	High	No
175	High	Yes
176	Low	Yes
177	Medium	No
178	Medium	No
179	Medium	No
180	Low	No
181	Medium	Yes
182	High	Yes

Transcribed Image Text:

Individual 1 2 ⠀ 290 Income Low Low ⠀ High Happy? No Yes : Yes