The Blacktop Speedway is a supplier of automotive parts. Included in stock are 5 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable æ represent the number that are not correctly calibrated. Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.) P(x) Find the mean of this probability distribution. (Appropriate rounding rules apply.) mean = HINT: The round-off rule for measures of center and variation is one place more than the x-values. 1, 3.
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!
From the provided information,
Total speedometers that are correctly calibrated = 5
Total speedometer that are not correctly calibrated = 2
Total speedometer = 5 + 2 = 7
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