The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes, complete parts (a) through (f). (a) What is the probability that a randomly selected time interval between eruptions is longer than 94 minutes? The probability that a randomly selected time interval is longer than 94 minutes is approximately 0.3372. (Round to four decimal places as needed.) (b) What is the probability that random sample of 10 time intervals between eruptions has a mean longer than 94 minutes? The probability that the mean of a random sample of 10 time intervals is more than 94 minutes is approximately 0.0901. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 33 time intervals between eruptions has a mean longer than 94 minutes? The probability that the mean of a random sample of 33 time intervals is more than 94 minutes is approximately 0.0075. (Round to four decimal places as needed.) (d) 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 94 minutes, then the probability that the sample mean of the time between eruptions is greater than 94 minutes V because the variability in the sample mean as the sample size

The weights of truffles follow a normal distribution, with a mean weight of 347 grams and a standard deviation of 15.3 grams.  When out truffle hunting, what is the probability that of finding a single truffle that is 300 grams or less?  More than 370?  between 300 and 370 grams?

What is the answer to part F?

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)