Question

Find value of k, If a random variable X has following Probability function:
Values of X, x: 0 1 2
p(x): 0 k 2k

Answer 1

Step-by-step explanation:

The poem is about the characteristics of the Schoolmaster who is respected by all the villagers due to his knowledge and interest in reading. It also talks about how things could change in the course of time, a kind of looking back at past. The village school master runs his little school in a small village.

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Answer 2

The value of k is 1/5.

Given: A random variable X has the following Probability function:

    Values of X :   0 1 2

                 p(x) : 0 k 2k

To Find: The value of k.

Solution:

• In a probability function, we know that the summation of the products of the probability and their respective frequency is equal to 1. This can be shown by,

                ∑ Xi p (xi ) = 1                                                   ...(1)

Where i = 1, 2, 3 ...

Coming to the numerical, we are given;

Values of X : 0 1 2

p(x) : 0 k 2k

So, according to (1), we get;

         ( 0 × 0 ) + ( 1 × k ) + ( 2 × 2k ) = 1

     ⇒  0 + k + 4k = 1

     ⇒   5 × k = 1

     ⇒    k = 1/5

Hence, the value of k is 1/5.

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