Problem 2; chapter 8; # 46 Find the sampling distributions of Y1 and Y for random samples of size n from a continuous uniform population with a = and B 1 10 Problem 3; chapter 8; # 48 Find the mean and the variance of the sam- pling distribution of Y1 for random samples of size n from problem 2 (previous problem) 22 adt Y is df of frst order stahishic -1 गरी- पु) । Ondara otheruise fyy) 910 दव The pdf ofE the maximam order stahshc The tae istm n- n a= नगजकगो ।-५oJ तहसी दि 0। y फी)ण 21 63 atboA Ya is order stanshc pdf of the nth 1-1 एालि) युलो 3प. S/- otherwise Yn nim 1
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!
distributions of both Y1 and Yn are uniform and continuous
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