please answer correctly

Suppose e geyser has a mean time be ions of 83 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 29 minutes. Complete parts (a) through (e) below. (#) What is the probablety that a rand time interval between eruptions is longer than 96 minutes? The probability that a randomly selected time interval is longer than 96 minutes is approximately(] (Found to four decimal places as needed) (6) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 96 minutes? The probability that the mean of a random sample of 13 time intervals is more than 96 minutes is approximately ]. (Round to four decimal places as needed.) () What is the probability that s random sample of 27 time intervals between eruptions has a mean longer than 96 minutes? The probeblity that the mean of a random sample of 27 time intervals is more than 96 minutes is approximately. (forend to foot decimal places as needed.) () What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below. If the population mean is less than 96 minutes, then the probability that the sample mean of the time between eruptions is greater than 96 minutes because the variability in the sample mean as the sample size (e) What might you conclude if a random sample of 27 time intervals between eruptions has a mean longer than 96 minutes? Select all that apply. () A. The population mean is 83, and this is an example of a typical sampling result. (3 B. The population mean is 83, and this is just a rare sampling. C. The population mean may be greater than 83. (0. The population mean must be less than 83, since the probability is so low. E. The population mean cannot be 83, since the probability is so low. F. The population mean may be less than 83. ()6. The population mean must be more than 83, since the probability is so low. Click to select your answer's)