this is the whole question I need help with

Suppose a geyser has a meantime between eruptions of 93 minutes. Let the interval of time between 2o minutes. Complete parts {a} through {c} below. E {a} What is the probability that a randomly selected time interval between eruptions is longer than we The probability that a randomly selected time interval is longer than we minutes is approximately El. {Round to tour decimal piaces as needed.) [b] What is the probability that a random sample of 1 5 time intervals between eruptions has a mean Id The probability that the mean of a random sample of 1 5 time intervals Is more than too minutes is ap| {Round to tour decimal places as needed.) {c} What is the probability that a random sample of 34 time intervals between eruptions has a mean lo The probability that the mean of a random sample of 34 time intervals is more than 11:15 minutes is ap| {Round to tour decimal piaces as needed.) [it] What effect does increasing the sample size have on the probability? Provide an explanation for thi If the population mean is less than ib minutes, then the probability that the sample mean of the time because the variability in the sample mean l Ti as the sample size 1'! is) What might you conclude if a random sample of 34 time intervals between eruptions has a mean It D A. The population mean may be less than Elli. E] B. The population mean is 93. and this is just a rare sampling. [l G. The population mean cannot be 93, since the probability is so low. [I D. The population mean may be greater than 93. E] E. The population mean is titi. and this is an example of a typical sampling result. [1 F. The population mean must be more than 93. since the probability is so low. E G. The population mean must be less than 93. since the probability is so low