Step 1 :Given the probabilities for x = 3, 5, and 6 as 0.32, 0.27, and 0.12 respectively.
Step 2 :The sum of all probabilities in a probability distribution must equal 1.
Step 3 :Therefore, to find the missing probability for x = 4, we need to subtract the sum of the given probabilities from 1.
Step 4 :Calculate the sum of the given probabilities: \(0.32 + 0.27 + 0.12 = 0.71\)
Step 5 :Subtract this sum from 1 to find the missing probability: \(1 - 0.71 = 0.29\)
Step 6 :Final Answer: The required value of the missing probability to make the distribution a discrete probability distribution is \(\boxed{0.29}\).