A random variable X has the following probability distribution. X 0 1 2 3 4 5 6 7P(X)0 k 2k 2k 3k k2 2k2 7k2+k P(X<3)
P(X<3)=P(0)+P(1)+P(2)=0+k+2k=0+110+210=310 (Put k=110)
A random variable X has the following probability distribution.
X 0 1 2 3 4 5 6 7P(X)0 k 2k 2k 3k k2 2k2 7k2+k
P(X > 6)
X01234567P(X)0k2k2k3kk22k27k2+k
P(0<X<3)
X
0
1
2
3
4
5
6
7
P (X)
k
2k
3k
k2
2k2
7k2 + k
Determine
(i) k
(ii) P (X < 3)
(iii) P (X > 6)
(iv) P (0 < X < 3)