A die has 2 red faces, 2 blue faces, and 2 green faces. It is rolled 240 times. Let R be the number of times red faces appear, and B the number of times blue faces appear.

The random variable R is the sum of 240 draws at random with replacement from

[pick all that are correct]
red, red, blue, blue, green, green
red, 0, 0
1, 0, 0, 0, 0, 0
1, 1, 0, 0, 0, 0
1, 0, 0 0, 1, 0
1, -1, 0, 0, 0, 0
1, 1, -1, -1, 0, 0
1, -1, 0
.......................
Consider the random variable D = R - B. That’s D for “difference.� If all 240 rolls show blue faces, then D = -240; if they all show red faces, then D = 240; otherwise D is somewhere in between. The random variable D is the sum of 240 draws at random with replacement from

[pick all that are correct]
red, red, blue, blue, green, green
red, red, blue, blue, 0, 0
1, 0, 0, 0, 0, 0
1, 1, 0, 0, 0, 0
1, 0, 0 0, 1, 0
1, -1, 0, 0, 0, 0
1, 1, -1, -1, 0, 0
1, -1, 0
...................................
Find E(D)
..................................
Find SE(D)

Please help

A)

1, 1, 0, 0, 0, 0

B)
1, -1, 0

These are wrong

Cheater beware.

A)red, red, blue, blue, green, green

1, 1, 0, 0, 0, 0
1, 1, -1, -1, 0, 0
B)red, red, blue, blue, green, green
red, red, blue, blue, 0, 0
1, 1, -1, -1, 0, 0
C)0
D)7.303

john

c=0 ok
rest wrong

laughing

A)

1, 1, 0, 0, 0, 0
1, 0, 0
0, 1, 0
B)
1, 1, -1, -1, 0, 0
1, -1, 0
C)
0

and D is 7.303?

7.303 is true

d 7.303 is wrong