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Suppose a geyser has a mean time between eruptions of 98 min. If the interval of the time between the eruptions us normally distributed with standard deviation 36 mins.,A) What is the probability that a randomly selected time interval between eruptions is longer than 126 min?B) What is the probability that a random sample of 8 time intervals between eruptions has a mean longer than 116 min?C)What is the probability that a random sample mean of 25 time intervals between eruptions had a mean longer than 116 min?D) What effect does increasing the sample size have on the probability?