Question

Ebby is doing research for her catering company. She did a random study of 25 people to see who preferred her best sellers, triple chocolate cake or strawberry fudge cake.

1	1	0
2	0	0
3	0	0
4	0	0
5	1	1
6	0	1
7	0	1
8	1	1
9	1	1
10	0	0
11	0	1
12	1	0
13	0	1
15	0	0
15	0	0
16	0	1
17	1	0
18	0	0
19	0	0
20	0	1
21	1	0
22	0	1
23	0	1
24	1	0
25	0	1

1. Create a two way table: (x=1,y=1) (x=1,y=0) (x=0,y=1)(x=0,y=0)
2. What is the joint probability for (x=x, y=y)? Compute Cov(x,y)
3. What is P(x=1 ∪ y=1)?
4. What is P(y=1|x=1) & p(y=1|x=0)
5. What is the marginal probabilities of x=x & y=y? Then compute the variance of x and y, e(x), and e(y).

Are these agreeable to the sample variance of x and y?

6. Are the variable x and y independent?

Please write clear and show all work, thanks.

Answer 1

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