A study was done in a large undergraduate classroom asking the students to record how many hours they spent doing homework on a typical day rounded to the nearest hour. The data was organized by recording the number of hours (X) and the number of students who responded with that number of hours (frequency). Frequency of X=x (# of hours) x = 0 6 x = 1 7 x = 2 14 x = 3 x = 4 Based on these findings, what is the expected number of hours than a student selected at random from this classroom would spend studying each day?
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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