Probability

Concept:Expected number of correct statements = sum of (number of statements × probability of a correct statement).Explanation:Probability that A's statement is correct = $1 - 0.2 = 0.8$.Probability that B's statement is correct = $1 - 0.3 = 0.7$.Probability that C's statement is correct = $1 - 0.1 = 0.9$.Expected correct statements from A = $60 \times 0.8 = 48$.Expected correct statements from B = $70 \times 0.7 = 49$.Expected correct statements from C = $90 \times 0.9 = 81$.Total expected correct statements = $48 + 49 + 81 = 178$.Answer:178