Question

Steven's P.E. class participated in a push-up competition, and Steven wrote down how many push-ups each person could do. Number of push-ups Number of people 14 3 29 2 33 2 71 3 X is the number of push-ups that a randomly chosen person did. What is the expected value of X? Write your answer as a decimal.

Answer 1

By formula, the expected value of X is given by:

$E(X)=\sum ^4_{i\mathop=1}x_iP(x_i)=4.2+5.8+6.6+21.3=37.9_{}$

Solution: The expected value of x is 37.9