An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars are normally distributed with a mean mileage per gallon (mpg) of 36.8 and a standard deviation of 1.3(d) What is the probability that one of these cars will have anmpg of between 34 and 38 mpg?(e) What is the minimum mpg of the 15% most fuel efficient cars?(f) What is the maximum mpg of the 10% least fuel efficient cars?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars are
(d) What is the probability that one of these cars will have an
mpg of between 34 and 38 mpg?
(e) What is the minimum mpg of the 15% most fuel efficient cars?
(f) What is the maximum mpg of the 10% least fuel efficient cars?
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