t2:17KClick here to view the standard normal distribution table (page 1)Click here to view the standard normal distribution table (page 2).mylab.pearson.com/+Suppose a geyser has a mean time between eruptions of 91 minutes. If the interval of time between the eruptions isnormally distributed with standard deviation 27 minutes, answer the following questions.Vo) 1LTE2.ill 4G ..ll 5%(a) What is the probability that a randomly selected time interval between eruptions is longer than 102 minutes?(Round to fourThe probability that a randomly selected time interval is longer than 102 minutes is approximatelydecimal places as needed.)(b) What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 102minutes?The probability that the mean of a random sample of 9 time intervals is more than 102 minutes is approximately(Round to four decimal places as needed.)3 :(c) What is the probability that a random sample of 35 time intervals between eruptions has a mean longer than 102minutes?The probability that the mean of a random sample of 35 time intervals is more than 102 minutes is approximately(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.Choose the correct answer below.OA. The probability increases because the variability in the sample mean decreases as the sample sizeincreases.OB. The probability increases because the variability in the sample mean increases as the sample size increases.OC. The probability decreases because the variability in the sample mean decreases as the sample sizeincreases.D. The probability decreases because the variability in the sample mean increases as the sample sizeincreases.|||(e) What might you conclude if a random sample of 35 time intervals between eruptions has a mean longer than 102minutes? Choose the best answer below.OA. The population mean cannot be 91, since the probability is so low.B. The population mean may be greater than 91.OC. The population mean must be more than 91, since the probability is so low.OD. Thepopulation mean is 91 minutes, and this is an example of a typical sampling.=O 0.02Standard Normal Distribution0,040.030.040.00Standard Normal Distribution Table (page 1)0.010.020.070.030.08Standard Normal Distribution0.040.040.050.070.02390.00750.06940.25300.080.09IX

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