If the prob density of a rv is given by f(x)= kx² 0
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- Problem 22 Let Z N(0,1). If we define X = eºz+μ, then we say that X has a log-normal distribution with parameters and o, and we write X~ LogNormal(μ, o). a. If X~ LogNormal(μ, o), find the CDF of X in terms of the function. b. Find EX and Var(X).Q5. The probability density function for a random variable X is given by f(x) = {ax + bx², To, If E(X)= 0.4, find Var(X). (Note: Answer should have a numerical value.) 0≤x≤1 otherwise.Using the info obtained above, continue with the following questions:
- Let f, g be probability densities such supp(f) c supp(g). show yes i.i.d. X1,..., X, L(g) then f(X;) Wi g(X;) is hopeful 1. Argue why the weights need to be re-normalized even when the normalization constants of the densities f and g are known.Let X1, X2, ..., Xn be a random sample from a population with probability density function 4 - 33 √T.² Find a sufficient statistic for 3. Justify your answer. f(x) = 0 < x <∞.Answer all the questions. Suppose that during periods of moditation the redhuction of a person's oxygen cansumption is a random variable having the following probability density function Sx)- f(x) if-2Solve it correctly please. I will rate accordingly.Ex 2/ Let X be exponential random variable with parameter A = 1:5. Find: 1- Find the probability distribution function 2- F[X] ? 3- E[X*) ? 4- Var(X)? 5- Find standard of deviation of X?Consider the continuous random variable with probability density function fx(x) = 3x² for 0Let f, g be probability densities such supp(f) c supp(g). show yes X1, ... , Xn X1,..., X, iid. L(g) then f(X;) W; = g(X;) is hopeful 1. Argue why the weights need to be re-normalized even when the normalization constants of the densities f and g are known.Please help solve and explain. Thanks a lot!The police in a small town are in interested in the proportion of drivers that speed by more than 6 miles per hour. A sample of 69 randomly selected cars were clocked by airplane radar. It was found that 65% of the cars were speeding by more than 6 miles per hour. Use this information to construct a 95% confidence interval for the proportion of all drivers that speed. a. Which parameter(s) are you given? Mark all that apply. Onone b. Which statistic(s) are you given? Mark all that apply. р Os O noneSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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