Among drivers who have had a car crash in the last year, 88 are randomly selected and categorized by age, with the results listed in the accompanying table. If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, and 13% of the subjects, respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distributions of ages. Does any age group appear to have a disproportionate number of crashes? Explain. Age____|___Under 25,_____25 – 44=21,_____45 – 64=12,_____Over 64=19, Drivers | 36, 21, 12, 19,
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!
Among drivers who have had a car crash in the last year, 88 are randomly selected and categorized
by age, with the results listed in the accompanying table. If all ages have the same crash rate, we
would expect (because of the age distribution of licensed drivers) the given categories to have 16%,
44%, 27%, and 13% of the subjects, respectively. At the 0.05 significance level, test the claim that
the distribution of crashes conforms to the distributions of ages. Does any age group appear to have
a disproportionate number of crashes? Explain.
Age____|___Under 25,_____25 – 44=21,_____45 – 64=12,_____Over 64=19,
Drivers | 36, 21, 12, 19,
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