Question

If the probability distribution of a random variable \( X \) is given as follows, then find \( k \):

• A. \( \frac{1}{10} \)
• B. \( \frac{2}{10} \)
• C. \( \frac{3}{10} \)
• D. \( \frac{4}{10} \)

Hint:

For probability distributions, always check that the total probability sums to 1 before solving for unknowns.

Answer 1

The Correct Option is A

Step 1: Use the property of probability distribution The sum of all probabilities must equal 1: \[ 2k + 4k + 3k + k = 1. \] Step 2: Solve for \( k \) \[ 10k = 1. \] \[ k = \frac{1}{10}. \]