Question

Determine the probability distribution's missing value. The table gives the probability that a tutor will see 0, 1, 2, 3, or 4 students.

x 0 1 2 3 4
P(x) 0.38 0.35 0.16 0.008 ?

Answer 1

To find the missing probability in the distribution table, sum the given probabilities and subtract from 1. For the table provided by the student, the missing probability for x=4 is 0.096.

Step-by-step explanation:

The student has provided a probability distribution table for the number of students a tutor will see with the variables x and P(x), where x represents the number of students and P(x) represents the probability of seeing that many students. The values in the table for x are 0, 1, 2, 3, and 4, with corresponding probabilities of 0.38, 0.35, 0.16, 0.008, and an unknown probability for x=4. To find the missing probability for x=4, we know that the sum of all probabilities in a distribution must equal 1. By adding the known probabilities and subtracting from 1, we can find the missing value.

The calculation is as follows:

1 - (0.38 + 0.35 + 0.16 + 0.008) = 1 - 0.904 = 0.096

So, the missing probability P(x) for x=4 is 0.096.