O A. В. 68% 68% 68%. 95% 95% 95% 99 7% 18.5 21.6 24.7 27.8 30.9 34 37.1 99 7% 9.2 15.4 21.6 27.8 34 40.2 46.4 99 7% 9.2 15.4 21.6 27.8 40.2 52.6 65 b) In what interval would you expect the central 99.7% of autos to be found? Using the 68-95-99.7 rule, the central 99.7% of autos can be expected to be found in the interval from 9.2 to 46.4 mpg. (Do not round. Type integers or decimals.) c) About what percent of autos should get more than 34 mpg? Using the 68-95-99.7 rule, about % of autos should get more than 34 mpg. (Do not round. Type an integer or a decimal.)
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!
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