A Rube Goldberg machine, named after American cartoonist Rube Goldberg, is a machine intentionally designed to perform a simple task in an indirect and overly complicated way. Time (sec) Frequency 40-44 45-49 50-54 55-59 The time (sec) was recorded for various Rube Goldberg machines to turn on a lightswitch. 12 60-64 65-69 Does the frequency distribution appear to have a normal distribution? Explain. 70-74 1 Choose the correct answer below. O A. No, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric. O B. Yes, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric. O C. No, because the frequencies start low, proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is not symmetric. O D. Yes, because the frequencies start low, proceed to one or two high frequencies, then increase to a maximum, and the distribution is not symmetric.
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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