Step 1 :The problem is asking to find the missing probability value for the discrete probability distribution. In a probability distribution, the sum of all probabilities must equal 1.
Step 2 :We are given the probabilities for the values 3, 5, and 6. We can denote these as p3 = 0.21, p5 = 0.23, and p6 = 0.29.
Step 3 :To find the missing probability, denoted as p4, we subtract the sum of the given probabilities from 1. This can be expressed as \(p4 = 1 - (p3 + p5 + p6)\).
Step 4 :Substituting the given values into the equation, we get \(p4 = 1 - (0.21 + 0.23 + 0.29)\).
Step 5 :Solving the equation, we find that \(p4 = 0.27\).
Step 6 :So, the missing probability value for the discrete probability distribution is \(\boxed{0.27}\).