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Guppose the time between buses at a particular stop is a positively skewed random varlable with an average of 50 minutes and standard deviation of 5 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of t= 35 t mes. The average of this tampi x, is a randon an able that comes from a specific probability distribution. (ajwhich of the following is true about the distribution of mean times for n-357 The distribution will be positively skewed with a mean of 59 minutes and a standard deviation of 5 minutes. O The distribution will be normally distributed with a mean of 59 minutes and a standard deviation of o.85 minutes 0 The distribution will be positively skewed with a mean of 59 minutes and a standard deviation of 0.05 minutes O The distribution will be normally distributed with a mean of so minutes and a standard deviation of S minutes s x s 60) . (b) Calculate the probability the mean time for the sample of 35 buses will be between sa minutes and 60 minutes, (c) How likely is it the average time will exceeds 6o minutes? R 2 0 You may need to use the z table to complete this problem
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