A company manufactures automobile transmissions. It has been determined that the lifetime (time until failure) of this transmission is normally distributed with an average of 78,000 miles and a standard deviation of 15,000 miles. What percentage of these transmissions will last at least 90,000 miles?

The probability that there will be a power failure during a snowstorm is .35. The probability that the generator will stop working during a snowstorm is .05. Find the probability that during a snowstorm the company will have at least one power source. Of course, the two power sources function independently.