Final answer:
To determine the missing value in the probability distribution, subtract the sum of the given probabilities from 1. The missing value in this case is 0.05.
Step-by-step explanation:
The missing value in the probability distribution can be determined by subtracting the probabilities of all the known values from 1, since the sum of all probabilities in a probability distribution must equal 1. Since the probabilities of seeing 0, 1, 2, 3, and 4 students are already given, we can calculate the missing value as follows:
Missing value = 1 - (probability of seeing 0 students + probability of seeing 1 student + probability of seeing 2 students + probability of seeing 3 students + probability of seeing 4 students)
Missing value = 1 - (0.2 + 0.4 + 0.2 + 0.1 + 0.05)
Missing value = 1 - 0.95
Missing value = 0.05