A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B.
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 factory produces two types of artificial lamp A and B. The
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