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6. Suppose we have N chips marked 1,2, ...,...
Will give thumbs up for good answers! 6. Show that the sums S-Xi + +X, of...
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6. Show that the sums S-Xi + +X, of independent random variables X, with zero mean form a martingale. Assume UxkJく00 for k-1, 2, . …
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups...
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups by simple random sampling . We then select m units in each group selected on the first step by simple random sampling . The estimate of the population mean is the average Y of the sample. Let μί be the...
The guess 0 was marked as incorrect. Suppose we have a random variable X such that...
The guess 0 was marked as incorrect.
Suppose we have a random variable X such that X = 1 with probability 1/2 and X--1 with probability 1 /2. we also have another random variable Y such that Y- X with probability 3/4 and YXwith probability 1/4. What is the covariance between them, Cov(X, Y)?
Will give thumbs up for good answers! 8. Consider a population of n couples where a...
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8. Consider a population of n couples where a boy is born to the ith couple with probability p; and c, is the expected number of children born to this couple. Assume p, is constant with time for all couples and that sexcs of successive children born to a particular couple are independent r.v's. Further, assume that no multiple births are allowed. The sex ratio is defined to be expected number of boys...
Hello can someone help me answer this please Suppose that X (X1,X2, . . . ,...
Hello can someone help me answer this please
Suppose that X (X1,X2, . . . , X.) ald Y-(Yİ,%, , Y,n) are random samples from continuous distributions F and G, respectively. Wilcoxon's two-sample test statistioc W- W(X,Y) is defined to be X/Ri where Ri is the rank of Y in the combined sample. 1. Let T Z, where Z, Z2,, Zm are numbers sampled at random without replacement from the set {1,2,...,N) Show that E(Z) = (N + 1)/2 and...
1. Suppose that N = {1,2,3} and let X be a random variable such that P(X...
1. Suppose that N = {1,2,3} and let X be a random variable such that P(X = 1), P(X = 2) and P(X = 3) are all 1/3. So the probability mass function for X is p(1) = P(2) = P(3) = 1/3. Then, for each n e N= {1,2,...}, we have 3 E[X"] - Ý k"p(k) 1" + 2 + 3" 3 (1) k=1 Calculate E[X], E[X2] and var(X).
Please answer correctly, don't rush. I will give a thumbs up if answer is correct. Let...
Please answer correctly, don't rush. I will give a thumbs up if
answer is correct.
Let Yı, Y2, Y3, ... be an iid collection of rvs with the Bernoulli distibution: P(Y = 1) =p and P(Y = 0) = 1-p That is, the Y;'s take the values 0 and 1 with probabilities q = 1 -p and p, respectively. (a) Calculate the mgf of Y. (b) Calculate the mgf of T = Yi +Y2 + ... + Yn (c) Compare...
Need answer ASAP, will give thumbs up! What is the smallest value N for which we...
Need answer ASAP, will give thumbs up!
What is the smallest value N for which we can guarantee that the error approximation of the alternating series - Echo by the partial sum iMz (-1) is at most 10-4?
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that...
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that we want to generate a random variable Y whose probability mass function is the same as the conditional mass function of X given X-k, for some k-n. Let a = P(X-k), and suppose that the value of a has been computed (a) Give the inverse transform method for generating Y. (b) Give a second method for generating Y (c) For what values of a,...
Suppose that n students are selected at random without replacement from a class containing 28 students,...
Suppose that n students are selected at random without replacement from a class containing 28 students, of whom 8 are boys and 20 are girls. We assume that 0 < n < 28. Let X denote the number of boys that are obtained. Answer the following questions: a (4 marks) State the distribution of X, with parameters b (1 mark) Write down the possible values of X c (1 mark) Express E(X) in terms of n. d (4 marks) For...
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6. Show that the sums S-Xi + +X, of independent random variables X, with zero mean form a martingale. Assume UxkJく00 for k-1, 2, . …
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups by simple random sampling . We then select m units in each group selected on the first step by simple random sampling . The estimate of the population mean is the average Y of the sample. Let μί be the...
The guess 0 was marked as incorrect.
Suppose we have a random variable X such that X = 1 with probability 1/2 and X--1 with probability 1 /2. we also have another random variable Y such that Y- X with probability 3/4 and YXwith probability 1/4. What is the covariance between them, Cov(X, Y)?
Will give thumbs up for good answers!
8. Consider a population of n couples where a boy is born to the ith couple with probability p; and c, is the expected number of children born to this couple. Assume p, is constant with time for all couples and that sexcs of successive children born to a particular couple are independent r.v's. Further, assume that no multiple births are allowed. The sex ratio is defined to be expected number of boys...
Hello can someone help me answer this please
Suppose that X (X1,X2, . . . , X.) ald Y-(Yİ,%, , Y,n) are random samples from continuous distributions F and G, respectively. Wilcoxon's two-sample test statistioc W- W(X,Y) is defined to be X/Ri where Ri is the rank of Y in the combined sample. 1. Let T Z, where Z, Z2,, Zm are numbers sampled at random without replacement from the set {1,2,...,N) Show that E(Z) = (N + 1)/2 and...
1. Suppose that N = {1,2,3} and let X be a random variable such that P(X = 1), P(X = 2) and P(X = 3) are all 1/3. So the probability mass function for X is p(1) = P(2) = P(3) = 1/3. Then, for each n e N= {1,2,...}, we have 3 E[X"] - Ý k"p(k) 1" + 2 + 3" 3 (1) k=1 Calculate E[X], E[X2] and var(X).
Please answer correctly, don't rush. I will give a thumbs up if
answer is correct.
Let Yı, Y2, Y3, ... be an iid collection of rvs with the Bernoulli distibution: P(Y = 1) =p and P(Y = 0) = 1-p That is, the Y;'s take the values 0 and 1 with probabilities q = 1 -p and p, respectively. (a) Calculate the mgf of Y. (b) Calculate the mgf of T = Yi +Y2 + ... + Yn (c) Compare...
Need answer ASAP, will give thumbs up!
What is the smallest value N for which we can guarantee that the error approximation of the alternating series - Echo by the partial sum iMz (-1) is at most 10-4?
Problem 5. Let X be a binomial random variable with parameters n and p. Suppose that we want to generate a random variable Y whose probability mass function is the same as the conditional mass function of X given X-k, for some k-n. Let a = P(X-k), and suppose that the value of a has been computed (a) Give the inverse transform method for generating Y. (b) Give a second method for generating Y (c) For what values of a,...
Suppose that n students are selected at random without replacement from a class containing 28 students, of whom 8 are boys and 20 are girls. We assume that 0 < n < 28. Let X denote the number of boys that are obtained. Answer the following questions: a (4 marks) State the distribution of X, with parameters b (1 mark) Write down the possible values of X c (1 mark) Express E(X) in terms of n. d (4 marks) For...
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