Example 5-1. A random variable X has the following probability function: Values of X, x : 1 3 4 7 p(x) : k 2k 2k 3k 2k2 7k2 + k (i) Find k, (ii) Evaluate P(X < 6), P(X 2 6), and P(0 < X < 5), (iii) If P(X sa) >5, find the minimum value of a, and (iv) Determine the distribution function of X.
Example 5-1. A random variable X has the following probability function: Values of X, x : 1 3 4 7 p(x) : k 2k 2k 3k 2k2 7k2 + k (i) Find k, (ii) Evaluate P(X < 6), P(X 2 6), and P(0 < X < 5), (iii) If P(X sa) >5, find the minimum value of a, and (iv) Determine the distribution function of X.
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Transcribed Image Text:Example 5-1. A random variable X has the following probability function :
Values of X, x :
1
3
4
5
7
p(x) :
k
2k
2k
3k
k2
2k²
7k? + k
> find
1
(i) Find k, () Evaluate Р(X < 6), Р(Х26), and P(0 <X<5), (i) If P(X Sa) >
2'
the minimum value of a, and (iv) Determine the distribution function of X.
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