What is lognormal density and how was these results derived. This is regard to Brownian motion and Ito process

Let X~n ( x; µ‚10) and p(x > 53 ) = 0.45 Find the value of mean.

Find the mgf of the random variable Y = e¬^X when X ~ Exp(X). What is the name of the distribution of Y?

9. A simple random sample of size n is drawn. The sample mean, x, is found to be 18.3, and the sample standard deviation, s, is found to be 4.8. 15 Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about µ if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: (b) Construct a 95% confidence interval about µ if the sample size, n, is 61. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? O A. The margin of error decreases. O B. The margin of error does not change. C. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: Compare the results to those obtained in part (a). How does increasing the level of confidence affect…

S0, 1- 0.3e-0.00001x x < 0, x 2 0. F4(x) = « For the above model, determine the following: a. Mean Excess Loss Function b. Limited Expected Value Function c. The 75th Percentile

Please help me with the question in the image, possibly provide detail answer, i want to understand and learn before the test. Thank you in advanced!

% read in data data = xm ут csvread('measurements.csv'); data(:,1); % 50 measurements for x data (:,2); % 50 measurements for y M = [ones (size (xm)), xm, xm.^2]; % b = (MM) (-1) *M'*y; % (1) (2) & display results. figure (1), clf, hold on prepare figure plot (xm, ym, ' . '); 응 (3) linspace (min (xm), max (xm),200); % define values for x & determine predicted model values y = plot (x, y,'-') & (4) (5) Please answer the following multiple choice questions in part a.), b.) and c.): (a) Which numerical method has been used in the above given example? polynomial interpolation numerical differentiation least-squares regression numerical integration (b) Choose the correct code that needs to be put into the line denoted with the number (4): (4) O О y y = 1+b(2) + b(3) ; 1 + x + x.^2 ; y = b (1) = b (1) y = b (2) *x + b (3) *x. ^2 ; + b (2) *x ;

Central angles and arc mea X A Classes Maya Paniagua - L A ixl.com/math/geometry/central-angles-and-arc-measures BC Bookmarks Maya Paniagua - C.. Geumetry U.2 CenLI di dnyies anu diC Tmeasures VZA What is mZRUS? x+98° U 770 x+96° 53° MZRUS = Submit

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What is the equation of the normal line to y=x at x=1? а. y-1%3-1/2(х-1) b. y-1=2(x-1) с. у-13-2(x-1)