A random variable X has the following probability distribution: X : 1 2 3 4 5 P X :   k 2 2 k k 2 k 5 k 2 Then, P X > 2 is equal to:

Question

A random variable X has the following probability distribution: X : 1 2 3 4 5 P X : &#160; k 2 2 k k 2 k 5 k 2 Then, P X &#62; 2 is equal to:

Aicharya · Accepted Answer

W e know &#8721; P i = 1 &#8658; 6 k 2 + 5 k = 1 6 k 2 + 5 k - 1 = 0 6 k 2 + 6 k - k - 1 = 0 6 k - 1 k + 1 = 0 &#8658; k = - 1 (rejected) ; k = 1 6 P X &#62; 2 = k + 2 k + 5 k 2 = 1 6 + 2 6 + 5 36 = 6 + 12 + 5 36 = 23 36

A random variable X has the following probability distribution: X : 1 2 3 4 5 P X :   k 2 2 k k 2 k 5 k…

Solution

A random variable X has the following probability distribution: X : 1 2 3 4 5 P X : &#160; k 2 2 k k 2 k 5 k…

Solution

A random variable X has the following probability distribution: X : 1 2 3 4 5 P X : k 2 2 k k 2 k 5 k…