The number of errors occurring in a wireless sensor device in a factory is randomly distributed according to aPoissondistribution with a mean of 0.1 per day if the temperature is above 150 degrees, 0.05 per day if the temperature is between 50 and 150 degrees, and 0.01 if the temperature is below 50 degrees. There are 100 sensor devices in the factory.The number of sensors, where T > 150 is 10, the number where 150 T 50 is 40, and the number whereT< 50 is 50.

What is the mean number of errors the factory experiences in one day?

What is the mean number of errors experienced over the period of one full year?

What is the probability that at least one error occurs in the factory in one day?

Given that at least one error occurs, what is the probability that two more occur in one day?