A random variable X has the following probability function. X: 1 2. 3 4 P(X): K 2K 2K 3K K2 2K2 7K2+K (i) Find K (ii) Evaluate P(X) P(X 2 6) and P(0 X 5) (iii) P(X< K) , find the minimum value of K and

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A random variable X has the following probability function.
X :
3
4
5n
P(X):
2K
2K
2K2
7K2+K
K
3K
K2
(i) Find K
(ii) Evaluate P(X) P(X 2 6) and P(0 X 5)
(iii) P(X S K)
find the minimum value of K and
(iv) Determine the distribution function of X
Transcribed Image Text:A random variable X has the following probability function. X : 3 4 5n P(X): 2K 2K 2K2 7K2+K K 3K K2 (i) Find K (ii) Evaluate P(X) P(X 2 6) and P(0 X 5) (iii) P(X S K) find the minimum value of K and (iv) Determine the distribution function of X
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