Question: Q2) A construction contractor is considering to bid on completing a project that promises a profit of $$ 38,342 with a probability of 0.71 ,
Q2) A construction contractor is considering to bid on completing a project that promises a profit of $$38,342 with a probability of 0.71 , or a loss (due to bad weather, worker strikes, etc.) of $$5,177 with a probability that is the complement probability of making a profit. What is the expected profit for the contractor?
Note: Please avoid rounding numbers in the middle of your calculations. However, round your final answer to two decimal places, (such as 80.76 or 1200.34, and so on) before entering it in the box below. There is no need to enter the $$ symbol in the answer box.
Q3) In a certain game, there is no cost to play the game, and the pay off can be $4 , $-2 , $2 , $-2 , each with probabilities as shown in the following table:
| Outcome | e1e1 | e2e2 | e3e3 | e4e4 |
| Probability | 0.21 | 0.24 | 0.05 | 0.50 |
| Payoff | $4 | $-2 | $2 | $-2 |
compute the expected payoff and enter the final answer in the box provided below without rounding it.
Q4) A local fan club plans to invest $$9,589 to host a soccer game. The total revenue from the sale of tickets is expected to worth $$63,059. But if it rains on the day of the game, they won't be able to sell any tickets, and the club will lose all the money invested. If the weather forecast for the day of the game is with 22%% chance of rain, calculate to see if there is going to be an expected profit or an expected loss.
Hint: Calculate the expected profit if the game happens (always a positive amount), then calculate the expected loss of only the amount invested (always a negative amount), and then add these two numbers together to find the net result.
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