Question

The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 B. 15.31 о O C. 15.50 O D. 15.35 SUBMIT​

Answer 1

15.31

Explanation:

The expected value, E(X) is given by :

E(X) = Σx*p(x)

From the table above :

E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)

E(X) = 15.31