If x is distributed according to N(2,2^2), which one is its antithetic variable? A. 4-X B. 2-4X C. 2-X D. 4-2X E. 0
Given, =2, =4,
Answer is E.0
Since,this the only option which gives less variance than given variance i.e. 4
If x is distributed according to N(2,2^2), which one is its antithetic variable? A. 4-X B....
Let random variable X be distributed according to the p.m.f P( 0.3 0.5 0.2 · If Y=2X, what are li E r Var(Y) . If Z = aX + b has EZj-0 and Var(Z)-1, what are: lal
Suppose that a random variable X 15 distributed according to the Gramma distribution with mean: 10 and vanance : 20. Un b o (a) Find the parameters oc and VAL (b) Find the probability density function of X, Ivana (C) Find P(X<6) L ED bodo dj compute E[4X-5X1 X o Milladolib
Let random variable X be distributed according to the p.m.f P(a) 0.3 0.5 0.2 · If Y = 2x, what are ELY Var(Y) If Z = aX + b has E121 = 0 and Var(Z) = 1, what are: .
Exercise 4 (Continuous Probability) For this exercise, consider a random variable X which is normally distributed with a mean of 120 and a standard deviation of 15. That is, x-.. N (μ = 120, σ. 225) (a) Calculate P(X<95) (b) Calculate P(X > 140) c) Calculate P(95<X<120 (d) Find q such that P(X<)-0.05 (e) Find q such that P(X>) 0.10
2. Suppose you have a random variable X distributed as N(2,6). Compute the following probabilities b) P(X<2) c) P(1 X<2) d) P(IX-21 <2)
Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579 b. 0.869 c. 0.847 d. 0.680
Consider an exponentially distributed random variable X with pdf f(x) = 2e−2x for x ≥ 0. Let Y = √X. a. Find the cdf for Y. b. Find the pdf for Y. c. Find E[Y]. If you want to skip a difficult integration by parts, make a substitution and look for a Gamma pdf. d. This Y is actually a commonly used continuous distribution. Can you name it and identify its parameters? e. Suppose that X is exponentially distributed with...
2. Suppose you have a random variable X distributed as N(2,6). Compute the following probabilities. b) P(X<2) c) P(1<X<2)
Which is the correct formula for C[i,j] in product of n x n matrices A and B. explain A (A[1,1] + A[2,2] + ... + A[n,n]) + (B[1,1] + B[2,2] + ... + B[n,n]) B (A[1,1] + A[2,2] + ... + A[n,n]) x (B[1,1] + B[2,2] + ... + B[n,n]) C (A[1,1] x A[2,2] x ... x A[n,n]) x (B[1,1] x B[2,2] x ... x B[n,n]) D (A[1,1] x A[2,2] x ... x A[n,n]) + (B[1,1] x B[2,2] x ......
Question 4 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function (x)-{06r' + 18x-12 ; ishervise : otherwise (iv) Determine the mean and variance of X (v) Determine Var (4X?). Question 5 Consider the following probability distribution for X 30.3 10.2 0.2 0.1 (i) Find E(X). (ii) Find E(2x +4x). (ii) Determine the MGF of X (iv) Calculate Var (X) using MGF ofx Question 6...