Grayson and Claire are reading the same book. At the beginning of the month, Grayson was on page 40 and Claire was on page 19. Grayson will read 7 pages per day and Claire will read 14 pages per day. Let G represent the page of the book that Grayson is on at the end of t days into the month, and let C represent the page of the book that Claire is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Grayson and Claire will be on the same page of the book.
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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