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6. Show that the sums S-Xi + +X, of...
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4. Let (Xn);-o be a martingale with respect to {期000, show that Cov (Ann-Xi, A4) = 0 for all k s ism.
4. Let (Xn);-o be a martingale with respect to {期000, show that Cov (Ann-Xi, A4) = 0 for all k s ism.
Will give thumbs up for good answer! 6. Suppose we have N chips marked 1,2, ...,...
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6. Suppose we have N chips marked 1,2, ..., N, respectively. We take a random Hample of size 2n +1 without replacement. Let Y be the median of the random Hample. Show that the probability function of Y is for k-n +1, n +2, ..., N - n. 2n +1 Verify and Var(Y) 8n +12
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...
Let us consider the biased random walk S,-X1 +X2+···+X,, with S: is a sequence of independent...
Let us consider the biased random walk S,-X1 +X2+···+X,, with S: is a sequence of independent randon variables with P(X,--1)-g,P(X.-1) p+q=1 and Mt Show that M.-Sn-b- calculate Elr), where τ = inf{n : S" = a or-6) with a, b > 0. 0. where Xi, X2 p. where g)n is a martingale. Use this martingale to
6.7. Let X,, be a sequence of independent and identically distributed X, and show Pl random varia...
6.7. Let X,, be a sequence of independent and identically distributed X, and show Pl random variables with mean 0 and variance σ. Let 1-1 that {Z., n 2 1j is a martingale when
6.7. Let X,, be a sequence of independent and identically distributed X, and show Pl random variables with mean 0 and variance σ. Let 1-1 that {Z., n 2 1j is a martingale when
Please show ALL your work. Will give thumbs up for proper answers! 8. Consider a population...
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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...
Show all work and answer fully! will give a good rating for a good solution
Show all work and answer fully!
will give a good rating for a good solution
2. Let {y,/-1 be a sequence of independent identically distributed random = k) = ak for variables with values in the set S {0,1, ali n E N and k E S. Let Xo = 0 and ,9), where P( x, = Yǐ + . . . + Y,, (mod 10). Show that XJn-o is a Markov chain, and find its transition probabilities in terms...
PLEASE ANSWER ALL. I will give thumbs up and leave a good comment if answers are...
PLEASE ANSWER ALL. I will give thumbs up and leave a good comment
if answers are accurate. NOTE: Please explain clearly in words.
Please be detailed.
The combination of these two carbonyl systems can give an aldol product. Part 1. Will more than one enolate form? Part 2. What kind of base would you use? (NaOH or LDA) Why? Part 3. If you were in the lab running this experiment, which reagent (2,2-dimethylpropanal or phenylacetaldehyde) should you add slowly to...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for each n 2 0 let Sn-1 Xi. Use importance sampling to obtain good estimates for each of the following probabilities: (a) Pfmaxn<100 Sn> 10; and (b) Pímaxns100 Sn > 30) HINTS: The basic identity of importance sampling implies that d.P n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance 1. The...
Please show all work and give correct answer. Will give a thumbs up and good rating...
Please show all work and give correct answer.
Will give a thumbs up and good rating :)
3. The circumference of a sphere was measured to be 84 cm with a possible error of .5 cm. Use differentials to estimate the maximum error in the calculated volume. Then find the relative error (C = 27r; V= #r3, relative error "Y). You may leave the maximum error in terms of 3 TT.
show all work and answer fully. will give a good
rating for a good answer
4. Let (Xn);-o be a martingale with respect to {期000, show that Cov (Ann-Xi, A4) = 0 for all k s ism.
4. Let (Xn);-o be a martingale with respect to {期000, show that Cov (Ann-Xi, A4) = 0 for all k s ism.
Will give thumbs up for good answer!
6. Suppose we have N chips marked 1,2, ..., N, respectively. We take a random Hample of size 2n +1 without replacement. Let Y be the median of the random Hample. Show that the probability function of Y is for k-n +1, n +2, ..., N - n. 2n +1 Verify and Var(Y) 8n +12
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...
Let us consider the biased random walk S,-X1 +X2+···+X,, with S: is a sequence of independent randon variables with P(X,--1)-g,P(X.-1) p+q=1 and Mt Show that M.-Sn-b- calculate Elr), where τ = inf{n : S" = a or-6) with a, b > 0. 0. where Xi, X2 p. where g)n is a martingale. Use this martingale to
6.7. Let X,, be a sequence of independent and identically distributed X, and show Pl random variables with mean 0 and variance σ. Let 1-1 that {Z., n 2 1j is a martingale when
6.7. Let X,, be a sequence of independent and identically distributed X, and show Pl random variables with mean 0 and variance σ. Let 1-1 that {Z., n 2 1j is a martingale when
Please show ALL your work. Will give thumbs up for proper
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...
Show all work and answer fully!
will give a good rating for a good solution
2. Let {y,/-1 be a sequence of independent identically distributed random = k) = ak for variables with values in the set S {0,1, ali n E N and k E S. Let Xo = 0 and ,9), where P( x, = Yǐ + . . . + Y,, (mod 10). Show that XJn-o is a Markov chain, and find its transition probabilities in terms...
PLEASE ANSWER ALL. I will give thumbs up and leave a good comment
if answers are accurate. NOTE: Please explain clearly in words.
Please be detailed.
The combination of these two carbonyl systems can give an aldol product. Part 1. Will more than one enolate form? Part 2. What kind of base would you use? (NaOH or LDA) Why? Part 3. If you were in the lab running this experiment, which reagent (2,2-dimethylpropanal or phenylacetaldehyde) should you add slowly to...
1. Let Xi, X2,... be independent random variables each with the standard normal distribution, and for each n 2 0 let Sn-1 Xi. Use importance sampling to obtain good estimates for each of the following probabilities: (a) Pfmaxn<100 Sn> 10; and (b) Pímaxns100 Sn > 30) HINTS: The basic identity of importance sampling implies that d.P n100 where Po is the probability measure under which the random variables Xi, X2,... are independent normals with mean 0 amd variance 1. The...
Please show all work and give correct answer.
Will give a thumbs up and good rating :)
3. The circumference of a sphere was measured to be 84 cm with a possible error of .5 cm. Use differentials to estimate the maximum error in the calculated volume. Then find the relative error (C = 27r; V= #r3, relative error "Y). You may leave the maximum error in terms of 3 TT.
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