The manufacturer claims that the lifespan of its tires is 47,000 miles. You work for a consumer protection agency and you were testing these tires.

The manufacturer claims that the lifespan of its tires is 47,000 miles. You work for a consumer protection agency and you were testing these tires. Assuming a life spans of these tires are normally distributed, you select 100 tires in random and test them. The lifespan is 46,801 miles assume standard deviation equals 800.What is the probability that the mean of the sample is 46,801 miles or less?