Question Help ▼ Police often set up sobriety checkpoints-roadblocks where drivers are asked a few brief questions to allow the officer to judge whether or not the person may have been drinking. If the officer does not suspect a problem, drivers are released to go on their way. Otherwise, drivers are detained for a Breathalyzer test that will determine whether or not they will be arrested. The police say that based on the brief initial stop, trained officers can make the right decision 80% of the time. Suppose the police operate a sobriety checkpoint after 9:00 p.m. on a Saturday night, a time when traffic safety experts suspect that about 19% of drivers have been drinking. Complete parts a) through d) below. a) A statistics student is stopped at the checkpoint and, of course, has not been drinking. What is the probability that the statistics student is detained for further testing? The probability that the statistics student is detained for further testing is 0.20 Round t three decimal places as needed.) p) What is the probability that any given driver will be detained? The probability that any given driver will be detained is 0.314. Round to three decimal places as needed.) =) What is the probability that a driver who is detained has actually been drinking? The probability that a driver who is detained has actually been drinking is. Round to three decimal places as needed.)
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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