A random variable has the following probability distribution: X 0 1 2 3 4 5 6 7 8 Then, the value of ' ' is:

Explanation: 1. Property of Probability Distribution: The sum of all probabilities in a discrete probability distribution must always equal . 2. Substitute the given probabilities: 3. Sum the terms: Adding the coefficients: (This is an arithmetic progression with terms, sum for odd numbers). 4. Solve for : Conclusion: The value of is . The correct option is (a) .

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