The data below is a survey of undergraduate and graduate students on whether they receive financial aid. Let U represent undergraduate students and F represent receiving financial aid. F F' Total U 4222 3898 8120 U' 1879 731 2610 Total 6101 4629 10730 (a) If a graduate student is selected at random, find the probability that they receive financial aid.
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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