The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between eruptions is normally distributed with standard deviation 21.25 minutes, answer the following questions:
1.What is the probability that a randomly selected time interval between eruptions is longer than 95 minutes?
2.What is the probability that a random sample of 20 time intervals between eruptions has a mean longer than 95 minutes?