Having trouble with part C. If possible please leave work. Thank You!!

Homework: Section 8.1 Homework Save Score: 0.14 of 1 pt 6 of 12 (12 complete) HW Score: 78.65%, 9.44 of 12 pts 8.1.22-T Question Help Suppose a geyser has a mean time between eruptions of 80 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 16 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 88 minutes? The probability that a randomly selected time interval is longer than 88 minutes is approximately 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 88 minutes? The probability that the mean of a random sample of 9 time intervals is more than 88 minutes is approximately 0.0668 . (Round to four decimal places as needed.) (c) What is the probability that a random sample of 26 time intervals between eruptions has a mean longer than 88 minutes? The probability that the mean of a random sample of 26 time intervals is more than 88 minutes is approximately (Round to four decimal places as needed.)