Answer:
Explanation
As long as the expected value of the payoff isn’t negative, the Universal price cut would be statistically worthwhile.
Expected payoff = [Probability of rival not matching × Gain from price cut] + [Probability of rival matching × Loss from price cut]
Remember that:
Probability that rivals don’t match + Probability that rivals match = 1
If the probability that rivals don't match = ρ, then the probability that rivals match = 1 − ρ.
Substitute these probabilities into the expected value equation along with the loss and gain from price changes.
Expected payoff = [(ρ) × $1,000,000] + [(1 − ρ) × $−20,000]
Expected payoff = [$1,000,000ρ] + [$−20,000 + $20,000ρ]
Step-by-step explanation: