A random variable X has the following probability distribution.
|7k2 + k|
(ii) P (X < 3)
(iii) P (X > 6)
(iv) P (0 < X < 3)
(i) It is known that the sum of probabilities of a probability distribution of random variables is one.
k = − 1 is not possible as the probability of an event is never negative.
`:.k = 1/10`
(ii) P (X < 3) = P (X = 0) + P (X = 1) + P (X = 2)
(iii) P (X > 6) = P (X = 7)
(iv) P (0 < X < 3) = P (X = 1) + P (X = 2)