The height of a tree in feet over x years is modeled by the function f(x). 30 f (z) = %3D 1+29e 0sz Which statements are true about the growth of the tree? Select each correct answer. O The tree's maximum height is limited to 30 ft. O Between the 5th and 7th years, the tree grows approximately 7 ft. After growing 15 ft, the tree's rate of growth decreases. O The tree is initially 2 ft tall.
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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