LED bulbs: mean = 2,300 days, standard deviation = 230 days incandescent bulbs: mean = 100 days, standard deviation = 10 days Estimate the proportion of LED bulbs that are expected to burn out in the interval between 1,900 days and 2,100 day
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!
- LED bulbs:
mean = 2,300 days, standard deviation = 230 days - incandescent bulbs: mean = 100 days, standard deviation = 10 days
- Estimate the proportion of LED bulbs that are expected to burn out in the interval between 1,900 days and 2,100 days.
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