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).
Answers
Answered by
0
Answer:
I'm sorry I didn't know Anna
Answered by
0
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
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