show how to generate random variables from a uniform density on an interval (a,b)
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show how to generate random variables from a uniform density on an interval (a,b)
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- If X is a continuous random variable find the CDF and density of the function y = x/3• Find the density of Z = (X+ Y)2, where X and Y are independent uniform random variables over (-1, +1).Actuary Tong has to study for two actuarial exams: Exam P and Exam FM. The amount of study time that Actuary Tong will spend on each exam in a day follows a continuous random variable that ranges from o to i hour. The amount of study time that Actuary Tong spends on both exams in a day has a joint density function that is equal to the sum of the study times that Actuary Tong spends on ench exam in a day. Caleulate the probability Actuary Tong spends at least half an hour in a day studying for exactly one of the exams. A 0.45 B 0.50 0.55 D 0.60 0.65 REP
- Determine the marginal or density function and whether the random variables are independent.(Let) the j_oin_t pro+babilty density function of two con random variable Y and X find in the follow pictureThe density function of two random variables X and Y is ,-2(x+y) fx,r (x, y) =u(x)u(y)4e¯¾x*y) X,Y Find the mean value of the function e-*+),
- the popularity density function f(x) for a uniform random variable X defined over the interval [2,10] is?If a dealer’s profit, in units of $5000, on a new automobile can be looked upon as a random variable X having the density function Find the variance of X.Let Z be a standard normal random variable. Find formulae for thedensities of |Z|, Z^2, 1/Z, and 1/Z^2
- variable X distributed A continous random between has a Probability zero elsewhere. if variable X os random at two Values, X=0 and X 2, density function fo)= 9x²+bx, and the mean of the random 1.25 1) Show thal the values of a and b -3 and a are 16 3. respectively 4 (i) find the mode of x Ce) Find the median Value ofLet X and Y be independent random variables. X is N(1,9) and Y is uniform on the interval {--1, 1]. Lat Write down the joint density for (X,Y) o Give the mean and variance of Y c) Give the median of X I dY Give the correlation coefficient p of X and Y1) The joint probabílity density function of the X and y random variables, fxy (Xy)= cx,0SEE MORE QUESTIONS
