Question

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

x 0 1 2 3 4
P(x) 0.57 0.07 0.16 0.02 ?

A. 0.18
B. 0.82
C. -0.82
D. 0.36

Answer 1

The missing probability value for the tutor seeing 4 students is 0.18, which is calculated by subtracting the sum of provided probabilities from 1, as they must all sum up to 1 in a complete distribution. The correct answer is A. 0.18.

Step-by-step explanation:

The task is to determine the missing value in the probability distribution of a tutor seeing 0, 1, 2, 3, or 4 students, given the probabilities for seeing 0, 1, 2, and 3 students. The sum of the probabilities of all possible outcomes should equal 1 because the total probability in a distribution must always equal 1.0. We already have probabilities for 0, 1, 2, and 3 students, which are 0.57, 0.07, 0.16, and 0.02, respectively. To find the missing probability for 4 students, we simply need to subtract the sum of the given probabilities from 1:

P(4 students) = 1 - (P(0 students) + P(1 student) + P(2 students) + P(3 students))

P(4 students) = 1 - (0.57 + 0.07 + 0.16 + 0.02)

P(4 students) = 1 - 0.82

P(4 students) = 0.18.