07: The weekly demand for propane gas (in 1000's of gallons) from a particular facility is...
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with pdf f(x) = k (1 − 1 /x ^2 ) , 1 ≤ x ≤ 2 (1) Determine a constant k. (2) Find a median. (3) E(X) and V (X)
The weekly demand for propane (in 1000's of gallons) from a particular facility is a rv X with the following pdf. The weekly demand for propane (in 1000's of gallons) from a particular facility is a rv X with the following pdf. f(x) = { 4.(-) 15:52 otherwise (a) Compute the cdf of X (b) What is the value of u? (Give answer to 3 decimal places.) 1.640 X (c) Compute E(X) and V(X). (Glve answers to 3 decimal places.)...
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf f(x)-21 - 0 1 sxs 2 2 otherwise (a) Compute the cdf of X. 0 F(x)2 2 > X (b) Obtain an expression for the (100p)th percentile n(p) 2 What is the value of μ? (Round your answer to three decimal places.) 2 (c) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = 2...
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf. Rx) = {2(1 - 15x52 1 sxs 2 otherwise therine (a) Compute the cdf of X. 0 x < 1 x=2 VI 1 2 > x (b) Obtain an expression for the (100p)th percentile. (P) = What is the value of u? (Round your answer to three decimal places.) 1.64 (c) Compute E(X) and (X). (Round your answers...
Question 5. The weekly demand for propane gas (in 100s of gallons) from a particular facility is an rv X with pdf 0 f(x) otherwise a. Compute the cdf of X b. Compute E(X) and V(x). c. If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week? [Hint: Let...
Calculate where: and S is the cone portion along with the circular cap ,oriented with the normal vector in the direction of the negative y axis. Ils rot(F)as F = (x2 + 3 cos(x + 2?) + arctan(x² +1) + za?i + (z?yz + x cos(y + 2)e+93)j + (-12? + sin(z? + ln(z+1))e+P+1) = x² + x2,2 <r<6 x2 + x2 < 4, y = 2
A production facility contains two machines that are used to rework items that are initially defective. Let X be the number of hours that the first machine is in use, and let Ybe the number of hours that the second machine is in use, on a randomly chosen day. Assume that X and Yhave joint probability density function given by 3. f(x)-| (x2 + y*) 0<x<1and 0 < y < 1 0 otherwise f. Find the conditional expectation E( 0.5)....
If the Pareto distribution is shifted so that its support starts at scale parameter 2m, then the support is Im < x, and the formulas become ima f(x) = very high F(x)=1 - (Com) asi a<2 u= 02- B 2x2 arm la-1 a>]: a > 2 (a − 1)2(a – 2) 2. Derive the median of a Pareto distribution with shape parameter a and scale parameter [m.
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
PROBLEM 3 Let X1, X2,L , X, be iid observations from a distribution with pdf given by f(xl0)=0x0-, 0<x<1, 0<O<00. a) Find the maximum likelihood estimator of O. b) Find the moment estimator of 0. c) (Extra credit) Compare the mean squared error of the two estimators in (a) and (b). Which one is better? (5 points)