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Suppose that a study shows that an electric bike is driven 23,500 km/year on average and...

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Statistics

Suppose that a study shows that an electric bike is driven23,500 km/year on average and has a standard deviation of 3900 km.Assume that the measurements’ distribution is approximatelynormal.

a) Calculate the 3rd quartile.

b) Solve for the probability that a randomly selected electricbike is driven at most 15,000 km per year, and then solve for theprobability that a randomly selected electric bike is drivenbetween 10,000 and 20,000 km per year.

c) If the average cost of leasing an electric bike is $300 permonth with an SD of $110. You want to buy an electric bike so yourandomly sample 20 people who are currently leasing. Solve for theprobability that the sample mean, amongst the randomly selected 20people, is less than $250.

d) Solve for the probability that the sample mean is greaterthan $300, amongst the randomly selected 20 people sampled in partc)

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