Suppose a geyser has a mean time between eruptions of 95 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 23 minutes, answer the following questions.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 106 minutes?
The probability that a randomly selected time interval is longer than 106 minutes is approximately 0.3156 (Round to four decimal places as needed.)
(b) What is the probability that a random sample of 12 time intervals between eruptions has a mean longer than 106 minutos?
The probability that the mean of a random sample of 12 time intervals is more than 106 minutes is approacimately (Round to four decimal places as needed.)