The construction time for a bridge is weather dependent. The project is expected to take 150 days if the weather is dry and hot. If the weather is damp and cool, it is expected to take 350 days. Otherwise, it is expected to take 300 days. Historical data suggests that there is a 40% chance of cool damp weather and a 10% chance of hot dry weather. What is the expected completion time of the project? g

The expected completion time of the project is 305 days

Explanation:

Given

Expected days = 150, if the weather is dry and hot.

Expected days = 350, If the weather is damp and cool

Otherwise, it is expected to take 300 days.

Chance of cool damp weather = 40%

Chance of hot dry weather = 10%

Chance of other weather = 100% - 40% - 10% = 50%

The expected completion time of the project is calculated as follows;

(Expected days when cool and damp) + (Expected days when hot and dry) + (Others)

= 350 * 40% + 150 * 10% + 300 * 50%

= 305 days

The expected completion time of the project is 305 days