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Simulating Coin Flips
a. Simulate flipping a coin 20 times. Use the line of random numbers below to obtain and report the resulting list of heads and tails. Use odd numbers (1, 3, 5, 7, 9) for heads and even numbers for tails (0, 2, 4, 6, 8).
14709 93220 89547 95320
b. Judging on the basis of these 20 trials, what is the empirical probability of getting heads?
a clinical trial tests a method designed to increase the probability of conceiving a girl. in the study 562 babies were
Find the limiting distribution of Yn as n -+ oo. This exercise and the immediately preceding one are special instances of an important theorem that will be proved in the next section.
2.* Let X1, ... , Xn be lid, uniformly distributed on [0,1]. It was was shown in lecture that a MME estimator of 0 is 9 = 2X, which is an unbiased estimator of O. However, it is not a function of T = max(Xi,.. • , Xn), and T is a sufficient statis..
suppose bolts are being manufactured using a process so that it is known that the length of the bolts follows a normal
in order to increase revenue many video game publishers sell downloadable content dlc separately from the main game.
Of the subpopulation of customers who order in the evening, consider the proportion who are female. Similarly, of the subpopulation of customers.
An unprepared student takes a 5-question true and false quiz and guesses every answer. Find the probability that the student will pass the quiz if at least 4 correct answers is the passing grade
The proportions of success in the two samples are P1 = .43 and P2 = .51 Find the 95% confidence internal for the difference in the two population proportions.
Given an input dictionary read in from a file to use for all test cases, and several word search grids, identify all words from the dictionary that appear in each word search grid.
Apartment living You are planning a report on apartment living in a college town. You decide to select three apartment complexes at random for indepth.
what role does sample size play in the accuracy of statistical inference? why is the method of selecting the sample
suppose we choose independently 25 numbers at random uniform density from the interval 0 20. write the normal densities
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