Question

A discrete random variable Y has the following probability distribution.

Y=y
1
2
3
4
5
P(Y=y)
1/3
1/6
1/4
k
1/6

where k is a constant.
a) Find the value of k.
b) Find P(Y≤3).
c) Find P(Y>2).

Answer 1

Answer:

I'm sorry I didn't know Anna

Answer 2

Answer:

a) k = 1/12

b) 3/4

c) 1/2

Step-by-step explanation:

a) Total sum of probablity = 1

P(y=1)+ P(y=2)+ P(y=3)+ P(y=4)+ P(y=5) = 1

1/3 + 1/6 + 1/4 + k + 1/6 = 1

k = 1/12

b) P(Y<=3) =>

P(y=1)+ P(y=2)+ P(y=3)

=1/3 + 1/6 + 1/4 = 3/4

c) P(Y>2) =>

P(y=3)+ P(y=4)+ P(y=5)

=1/4+1/12+1/6 = 1/2