Using the result of exercise 7(see question 7 below), give algorithms for generating random variables from the following distributions.
b.
Using the result of exercise 7(see question 7 below), give algorithms for generating random variables from...
Give algorithms for generating random variables from the following distributions. b. 1-2 if 0<<1
max{a1, a2, n<3 Show that 1 1 1 7 . 3 (a1a +.an) 3 an 3 a2 3- a1 using definition of convex
There are 30 people that donated to a church. The amount each person donated has probability density function Find out the probability that exactly 5 people donated between 20 and 30. ,(1)-(*(50-r), (50-x), ifo ifo < x < 50 otherwise TA
Consider a potential well, whose potential is given by (a) Evaluate the reflection and transmission coefficient for the case E > 0. (b) Use your result for the transmission coefficient obtained in (a) above, to evaluate the transmission coefficient for the potential barrier, (V0 > 0) for the case E < V0. Please show all steps thoroughly S-V, (-a <r <a) 10, elsewhere JV, (-a <r <a) V.C) = 0. elsewhere
The amount of kerosene, in thousands of litres, in a tank at the beginning of any day is a random amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied during the day so that x y, and assume that the joint density function of these of these variables is Determine the correlation coefficient between X and Y and interpret the value calculated. We were unable to transcribe this imagef...
If X is a Poisson random variable with parameter ?, show that the Tchebyshev’s inequality will indicate P(0 < X < 21) >1–
Let be the distribution function defined by Let be the Lebesgue-Stieltjes measure asociated to . Determine the measurements of the fpllowing sets: We were unable to transcribe this imageF(x) = 0 if 1+r if 2+x? if 19 if I <-1 -1 <r <0 0<r<2 > 2 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image(-1, 0]υ (1,2) 10, ) U (1, 2 (1 :...
0Let X1, ....., Xn be iid Random variable from a Uniform distribution with pdf given by . (1) Is the 2-dimensional statistics T1(X) = (X(1), X(n)) a complete sufficient statistics? Justify your answer (2) Is the one-dimensional statistic a complete sufficient statistic? Justify your answer We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
(6) . We pick samples randomly from the population which distributes uniformly between the interval of. . Answer the following questions regarding the median of the samples Show that the distribution which follows has the distribution as shown below. Find the expected value of . Show = . When , show that is the consistent estimator of . We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imagen = 2m...
Question 5.[15 marks] [Chapters 7 and 8] Data from a random sample of a recent large second semester stage 2 statistics course (STATS 20x) were collected. Below is some information on the variables collected. Variable Grade The student's final grade for the course: A, B. C, D Pass Whether the student passed the course: Yes, No Programme The programme the student is enrolled in: BA, BCom BSc, Other Sex The student's sex: Female, Male ผhether the student regularly attended class:...