Suppose a brand of light bulbs is normally distributed, with a mean life of 1900 hr and a standard deviation of 50 hr. Areas Under the Standard Normal Curve A 4332 Find the probability that a light bulb of that brand lasts between 1840 hr and 1990 hr: 1.00 3413 3643 3849 4032 4192 1.50 160 1.70 1.10 1.20 1.30 1.40 4452 4554 4641 4713 1.80 1.90 The probability that a light bulb will last between 1840 hr and 1990 hr is (Type an integer or decimal rounded to four 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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