help please

Suppose a geyser has a mean time between eruptions of 76 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 23 minutes, answer the following questions. A ) The probability that a randomly selected time interval is longer than 87 minutes is approvimately (round to four decimal places as needed) ( B ) What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 87 minutes ? (C ) What is the probability that a random sample of 22 time intervals between eruptions has a mean longer than 81 minutes ? (D)What effect does increasing the sample size have on the probability? L. The probability increases because the variability inthe Sample mean increases as the sample size increases.. 2. The probability decreases because the variability in the Sample mean increases as the sample size increases 3. The probability increases because the variability in the Sample mean decreases as the sample size increases 4. The probability decreases because the variability in the sample mean decreases as the sample size increases. ()What might you conclude if a random sample of 22 time intervals between eruptions has a mean longer than 87 mins ? 1. The population mean may be greater than 74. 2. The population mean must be more than 74, since the probabilty is so low 3. The population mean must be less than 74, since the probability it so low. 4. The population mean is the mins, and this is an example of a typical Fapling