The weight of certain mushrooms are normally distributed with a mean of 12g and a variance of 5g2.The heaviest 10% of mushrooms are considered too large for use by a particular restaurant. What is the weight of heaviest mushroom that the restaurant would use? The lightest 5% mushrooms are too small to use and hence discarded. What is the minimum weight of mushrooms used?
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!
The weight of certain mushrooms are
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