Suppose geyser has a mean time between irruption of 86 minutes. If the interval of time between the irruption is normally distributed with Standard deviation 18 minutes. a) what is the probability that a randomly selected time interval between eruption is longer than 95 minutes. b) what is the probability that a random sample of 9 times intervals between eruptions has a mean longer than 95 minutes? c) what is the probability that a random sample of 18 intervals between eruption has a mean longer than 95 minutes? d) what effect does increasing the sample size have on the probability? e) what might you conclude if a random sample of 18 time interval between eruptions has a mean longer than 95 minutes