Random Variables · Challenge problem

A company can invest in a project that gains $\$100$ thousand with probability $0.6$ and loses $\$120$ thousand with probability $0.4$, or it can decline and gain nothing. It chooses whatever has the larger expected value. A consultant offers a perfectly reliable forecast of whether the project will succeed, before the decision is made. What is the most, in thousands of dollars, the company should pay for the forecast?