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The time traveling between two campus locations of a university in a city via shuttle bus...

The time traveling between two campus locations of a university in a city via shuttle bus follows a normal distribution with a mean of 32 minutes and a with a standard deviation of 6 minutes. (a) What is the probability that a single bus takes more than 30 minutes to transport passengers? (b) What is the probability that the sample mean time of 40 bus trip times is more than 30 minutes? (c) When conisdering the distribution of the sample mean time of bus transports, what time would be considered the 67th percentile?

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