If X is a Poisson random variable with parameter ?, show that the Tchebyshev’s inequality will indicate
If X is a Poisson random variable with parameter ?, show that the Tchebyshev’s inequality will...
Give algorithms for generating random variables from the following distributions. b. 1-2 if 0<<1
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
Using the result of exercise 7(see question 7 below), give algorithms for generating random variables from the following distributions. b. 1-2 if 0<<1 7. (The Composition Method) Suppose it is relatively easy to generate random variables from any of the distributions F,,-I, . . . , n. How could we generate a random variable having the distribution function 12 i-1 where p,, -1.... . n, are nonnegative numbers whose sum is 1?
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
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
max{a1, a2, n<3 Show that 1 1 1 7 . 3 (a1a +.an) 3 an 3 a2 3- a1 using definition of convex
(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...
We say that the string x = x1x2 ... xn is a subsequence of the string y = y1y2 ... ym in the usual way: and there are indices such that, . The goal is a greedy strategy to test in O(n+m) time whether x is a subsequence of y (no code is required) (a) Describe the greedy choice (b) Justify the correctness of your greedy choice. 1 < 1
are order statistics from same distribution . Sample size is 3. Define and Finding marginal density of . We were unable to transcribe this imageplz) = 1 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
are order statistics from same distribution . Sample size is 3. Define and Finding joint density of and . We were unable to transcribe this imageplz) = 1 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image