Final answer:
The expected profit after one year for a person who invests $1,000 in stock, considering all possible outcomes with their respective probabilities, is calculated to be $150.
Step-by-step explanation:
To calculate the expected profit after one year for the person who invests $1,000 in stock, we need to consider all possible outcomes and their respective probabilities. We have three scenarios given:
- The stock could become worthless, which has a 35% probability. In this case, the loss is $1,000.
- The stock retains its value of $1,000, with a 60% probability, leading to no profit or loss.
- The stock increases in value by $10,000, with a 5% probability, resulting in a profit of $10,000.
To find the expected profit, we use the formula:
Expected Profit = Sum of (Probability of Outcome x Value of Outcome)
Inserting the given values, we get:
Expected Profit = (0.35 x -$1,000) + (0.60 x $0) + (0.05 x $10,000) = -$350 + $0 + $500
Expected Profit = $150
Therefore, the expected profit after one year is $150.