According to a recent survey of 1500 people, 64% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptab job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) In words, define the random variables X and P. O Xis the number of people who feel the president is not doing an acceptable job, and P'is the proportion of people in the sample who feel the president is not doing an acceptable job. O Xis the proportion of people in the sample who feel the president is doing an acceptable job, and Pis the number of people who feel the president is doing an acceptable job. O X is the proportion of people in the sample who feel the president is not doing an acceptable job, and P'is the number of people who feel the president is not doing an acceptable job. O Yis the pumber of people u
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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