(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found above to find the first 3 moments of Y about 0. 1st Moment: 2nd Moment: 3rd Moment: Us...
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Results for this suBHiSsIOH Entered Answer Preview Result (1/(1-b*t)*a correct Incorrect 26.25 26.25 Incorrect Incorrect 1.25 1.25 incorrect At least one of the answers above is NOT correct. 2 of the questions remain unanswered. (1 point) If Z is gamma(a, B), find the MGF of Z. (Enter a as a and B as b) M(t) = (1/(1-bt))*a Hint: If a = 20 and B = 4. differentiate the MGF you found above to find the first 3...
(1 point) If Y-LX, and every X, is ii.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial(n, m p) B. negative binomial (n, p) C. negative binomial(m,p) D. binomial (n, p) E. negative binomial(n, m * p) F. binomial(m *n,p) G. binomial(m, p) OH. negative binomial(m * n, p) I. None of the above
(1 point) If Y-LX,...
1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) = What is the distribution of Y? Select all that apply. There may be more than one correct answer. DA, binomial(rn * n, p) B. binomial(n, m*p) | | C. binomial(m, p) D. negative binomial(n,p) E. negative binomial(m,p) F. negative binomial(n, m* p) G. binomialn,p) OH. negative binomial(m * n, p) I. None of the above
(1 point) If Y-Σǐn 1 X, and every Xi is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial (n, m * p) B. negative binomial(m * n,p) C. negative binomial(n,p) D. negative binomial(m, p) E. binomial(m,p) F. binomial(n,p) G. binomial(m * n,p) H. negative binomial(n,m* p) I. None of the above
problems binomial random, veriable has the moment generating function, y(t)=E eux 1. A nd+ 1-p)n. Show that EIX|-np and Var(X) np(1-p) using that EIX)-v(0) nd E.X2 =ψ (0). 2. Lex X be uniformly distributed over (a b). Show that ElXI 쌓 and Var(X) = (b and second moments of this random variable where the pdf of X is (x)N of a continuous randonn variable is defined as E[X"-广.nf(z)dz. )a using the first Note that the nth moment 3. Show that...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
All of the following questions are in relation to the following journal article which is available on Moodle: Parr CL, Magnus MC, Karlstad O, Holvik K, Lund-Blix NA, Jaugen M, et al. Vitamin A and D intake in pregnancy, infant supplementation and asthma development: the Norwegian Mother and Child Cohort. Am J Clin Nutr 2018:107:789-798 QUESTIONS: 1. State one hypothesis the author's proposed in the manuscript. 2. There is previous research that shows that adequate Vitamin A intake is required...