Let X1,.,Xn be i.i.d with n 2 6, E(Xi) > 1 and Var(Xi) > 0. X1x2 and X3X5 are then. (A) not independent, but identically distributed. (B) not identically distributed, but independent. (C) independent and identically distributed. (D) neither independent nor identically distributed.

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: b. Маx z %3DX1 + X2 s.t. 2x1 + x2 < 20 X1 +3x2 < 15 X2 < 4 X1, X2 2 0

A:

Q: A bucket has three marbles.  Two are black and one is white.  You keep drawing until you get a while…

A: Given information A bucket has 3 marbles 2 Black, 1 white X denotes the total number of marbles…

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: Let X₁, X₂ be a random sample from N (1,1) and Y₁, Y₂ be a random sample from N (0,1), where the…

A:

Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

Q: Suppose that f (x) = x / 8 for 3 < x < 5. Determine the mean and variance of x.

A:

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

A:

Q: (4) If a point x is taken at random on the interval [0, 2a] and all the points are equally likely to…

A: Given :x2a-x&gt;a22

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: Let X a b(4,) find Var(3x) and distribution function.

A:

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: Assume that all variables are approximately normally distributed.  Help me with 13 please.

A:

Q: For events A, B, and C, we have the following probabilities: P(A) 0.7, P(B) = 0.5, P(C) = 0.3, P(A…

A:

Q: Let Y₁ 1 X=(x,-X₂), where X, and X₂ are independent random variables and each of them is distributed…

A: Given that the independent random variables X1 and X2 follows χ22 distribution.

Q: Within the interval (0,1)we randomly choose two numbers: x and y . Determine the probability that…

A: The problem can be solved using the concept of basic probability.

Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

A:

Q: 7. Suppose that X and Y are independent random vari- ables for which Var(X)= Var(Y)=3. Find the…

A: Given tat Var(X)=Var(Y)=3 a) Var(X-Y)=Var(X)+Var(Y)=3+3=6

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: If 25% of the oranges produced by a farm is defective in a random sample of 20 oranges, then if the…

A: Given 25% of total 20 oranges are defective, To calculate (X&gt;3) if X represents the number of…

Q: Express var(X + Y), var(X − Y), and cov(X + Y, X −Y) in terms of the variances and covariance of…

A: From the property of Variance we know that Var(ax+by)= a2 +b2 +2abcov(x,y) ...(1) Substitute…

Q: Let g(v) = (-v- 3) (6v + 7) Determine the derivative of g. g'(v) -12v- 25 OF Determine the…

A:

Q: Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time…

A:

Q: (a) Е(X), (Ь) var (X), (c) P(-2 <x < 0.5),

A: Let ,  The pdf of X is given by , = 0 ; otherwise Our aim is to find the following : a) E(X) b)…

Q: return 1 else: 2 return n * factorial(n-1) def factorial(n): if n==1: return 1 else: return n*…

A: The relationship mentioned over here is,  n!=n×n-1!, if n&gt;1n!=1, if n=1   Proving the relation…

Q: Suppose X-U (-54, 60) and F(t) is the cumulative distribution function. What is the probability that…

A: Given,X~U(-54 , 60)f(x)=160-(-54)f(x)=1114      ;   -54&lt;X&lt;60

Q: Find​ p(x) for x=​0,​1, 2,​ 3, 4, 5.

A: Answer:- Given, The formula for probability distribution of X is,

Q: The value of Wronskian of two functions y, =7* and y2 =7** is

A:

Q: (13) Let X b(6,) find E(5+6x) and distribution function.

A: (13) The random variable X follows binomial distribution with sample size 6, and probability of…

Q: Let g(v) = g'(v) 0-5 9-v Determine the derivative of g. 4 (-v+9)² 0 Determine the slope of g at v =…

A:

Q: Let f(x, y) = x + y for 0 < x < 1 and 0 < y < 1 The Conditional Variance of Y when X = ; is

A: From the given information, the joint density function for X  and Y is,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.