dy. And they found that the lifetime of their previous products (plasma TV sets) follows an exponential distribution with a mean of 100,000 hours. C
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!
A TV manufacturing company is planning to launch a new type of product recently. To check the
lifespan status of their previous products they conduct a study. And they found that the lifetime
of their previous products (plasma TV sets) follows an exponential distribution with a mean of
100,000 hours. Compute the probability a television set:
1. Fails between 60,000 and 100,000 hours of use.
2. Find the 90th percentile. So, 10 percent of the TV sets last more than what length of time?
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