Question

Back to the experiment of rolling the fair octahedral die. Let Y=1 if you get a 7, or 0 otherwise. What kind of a random variable is Y?

A

Bin(8; 1/6)

B

Bern(1/7)

C

Bern(1/8)

How many different values takes the pmf of Y?

A

1

B

2

C

8

Answer 1

1) Since, we are throwing a dice just once. So it's not binomial but Bernoulli trial. Now out of 8 face of the octahedron dice, only one i.e "7" is favourable. So p = 1/8

Hence, Y ~ Bern(1/8)

2) Only possible value Y can take are either 0 or 1.

Hence, no of different values = 2