A measure of the adhesiveness of honey can be modeled as f(x, y) = -125.48 + 4.26x + 4.85y – 0.05x2 – 0.14y2 where x is the percentage of glucose and maltose and y is the percentage of moisture.t (a) Calculate the absolute maximum of the adhesiveness of honey. (Round your answer to one decimal place.) (b) If FDA restrictions for Grade A honey require that the combined percentages of glucose, maltose, and moisture equals 55%, what is the maximum measure of adhesiveness possible? (Round your answer to three decimal places.)
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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