Q. 24.5( 2 Votes )
A random variable X has the following probability distribution:
Answer :
The key point to solve the problem:
If a probability distribution is given then as per its definition, Sum of probabilities associated with each value of a random variable of given distribution is equal to 1
i.e. ∑(pi) = 1
∴ P(X = -2) + P(X = -1) + P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1
0.1 + k + 0.2 + 2k + 0.3 + k = 1
0.6 + 4k = 1
4k = 0.4
K = 0.1
Value of k = 0.1
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