If X Gamma(4,6) the the variance of X is 4 24 144
Q: TEST STATISTIC FOR NO DIFFERENCE IN MEANS, UNEQUAL VARIANCES t = x1- x- 2 s 12 n 1+s 22 n 2
A: Test statistic for no difference in means, unequal variances is given by
Q: Suppose f(x) = 0.125x for 0 < x< 4. determine the mean and variance of X. Round your answers to 3…
A: Solution-: We have, f(x)=0.125*x ;0<x<4 We find the mean and variance of X
Q: Suppose f(x) = 1.5x for – 1 < x < 1. Determine the mean and variance of X. Mean = i Variance = i
A: We find mean and variance
Q: (c) Find Var(YX 2), the conditional variance of Y given that X 0. Show all the steps. Circle the…
A: c) Var(Y/X=x)=E(Y2/X=x)-{E(Y/X=x)}2 Where, E(Y/X=x) : conditional mean of Y given…
Q: R = Ex: 0.654321 Height explains how much of the variance in number of books read? Pick v variance 1
A: Independent variable, X: Height (in inches) Dependent variance, Y: No. of books read in the last…
Q: Suppose X - Par (a = 4,0 = 300) with d = 20 a) Find the expected value of the cost per loss, E [Y].…
A: Given that X~Parα=4, θ=300 with d=20
Q: If Var(X1) = 2, Var(X2) = 4, Var(X3) = 3, Cov(X1, X2) = 1, Cov(X1, X3) = -2, and X2 and X3 are…
A: Solution
Q: If E(x; – X)² fi = 600 and E f; = 30 , The variance value is equal to %3D
A: The variance is calculated by Variance= (1/N) sigma fi(xi - X)^2
Q: Show that E [ X – m]³ = E(X)³ – 3m, o- m and o? are the mean and %3D where variance of X…
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Q: Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of X. Round your answers to 3…
A: Given f(x)=0.125x for 0<x<4 We have to determine the mean and variance of X
Q: Given r= 0.5 Ery = 90 variance of y = 36, Er= 100, then find N.
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Q: 2,...,A3 a populati ng meanu and variance Which of the estimators have a variance of u? X1+X2++X7 7…
A: Solution
Q: = Let X₁, ..., X, be a random sample from EXP(0), and define 0₁ Đ, = nX/(n + 1). 2 (a) Find the…
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Q: If E(X) = 6 and E[(X) (X-1) ] = 51, find the second moment= 1 and the variance of X= 2
A: Given Data: E(X)=6 E[(X) (X-1)]=51
Q: Policy loss X is distributed as E(0.01). If there is a deductible of d = 7, calculate the mean and…
A: 2. From the given information, the policy loss X is distributed as E0.01. Given that the deductible…
Q: 5 Find the mean and variance of Y =x (1) - dt теаn %3D
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Q: If X and Y are independent random variables with variances σ2 X = 5 and σ2 Y = 3, find the variance…
A: Given:VX=5 and VY=3
Q: If X1, X2, and X3 are independent and have the means4, 9, and 3 and the variances 3, 7, and 5, find…
A: The variables X1, X2, and X3 are independent.
Q: (E}=1 x?); i3D1 8075 so what is the variance of these population (N=8).
A: sum of x = 243 therefore mean = 2438 = 30.375 sum of squares of x = 8075
Q: Let the r.v X~P(4). Then the mean and variance are? Find Pr(X>5)?
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Q: From a set of observations the arithmetic mean and variance were calculated. It is found that one of…
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Q: Let's say p a real function p by: P(x) = ;e-w, x E R a. Calculate the variance of X
A: given the probability density function; p(x)=12e-|x|, x∈R
Q: The variance of the OLS estimator Select one: O a. increases as the number of observations increases…
A: Given problem is :
Q: Suppose that f (x) = x / 8 for 3 < x < 5. Determine the mean and variance of x.
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Q: Suppose f(x) = 0.20 for 0 <x < 5. Determine the mean and variance of X.
A: The objective is to find mean and variance
Q: 2 Show that variance o? (x²) – ((x))²
A: Variance is a measure of dispersion.
Q: If X~ Bin(98, 0.06), what is the variance of (30X+3)? a. None of the answers. O b. = 4974.48 c. =…
A: It is given that the random variable X follows Binomial distribution i.e, X ~ Bin( 98, 0.06 ) Here,…
Q: An analysis of variance produces SSbetween = 30, SSwithin = 60, and an F-ratio with df = 2, 15. For…
A: The given information is, The formula for calculating the F-ratio is,
Q: Show that E {X - m3 = E(X) -3m, o- m where m, and o are the mean and variance of X respectively,
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Q: Use this covariance matrix to find the estimated variance of the estimated mean of y when z = 8.…
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Q: Two independent variables x, and x, are with means 5 and 10 and variances 4 and 9. If u = 3x, +4x,…
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Q: If C.V.=6.8 and variance is 4.36141 then mean = %3D O a. 30.7117 O b. 64.138 O c. 307.117 O d.…
A: C.V. is the coefficient of variation which is the ratio of standard deviation to the mean. The…
Q: Show that their covariance is Cry=a o where oy is the variance of X
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Q: If the correlation between X and Y is r = -0.61 and if the standard deviations of X and Y…
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Q: Two independent variables x and y have means 5 and 10 and variances 4 and 9 respectively. Find the…
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Q: Example 10: Show that r= where r = coefficient of correlation 20,0, between x and y, o.o are the…
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Q: -Ar 45. First three moments of a variable measured by point "2" are 1, 16 and - 40. Prove that mean…
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Q: Suppose X = number of direct injuries occurring in a fire incident. Its PMF is given by x 0 1 2 3 4…
A: Given that x 0 1 2 3 4 5 6 7 8 f(x) 0.08 0.08 0.09 0.14 0.18 0.16 0.09 0.06 0.06
Q: A sample of n observations has a sample mean of �̅x= 100 and variance of σ2 =100. If a new…
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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: Find the variance of X + 3Y + Z + 6 in terms of the variances and covariances of X, Y, and Z.
A: Given: X + 3Y + Z + 6
Q: 2. The mean of X = 10 and the standard deviation of X = 2. The variable X is linearly transformed…
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Q: Find the variance. Si f 2 4 4 7 6 3 O A) 4,54 B) 1,46 C) 2,13 O D) 27,72 E) 3,12
A: Measures of Dispersion: The word dispersion is used to denote the degree of heterogeneity in the…
Q: For the relation Y= 12-4 X between X and Y; if standard deviation of X, a, =5 then, variance of Y…
A: Given information: Y=12-4X Here, the slope value is -4 and the intercept is 12. Moreover, the slope…
Q: Suppose X and Y are two independent variables with variance 1. Let Z = X+bY where b > 0. If Cor(Z, Y…
A: Given that, V(X)= V(Y)= 1 So V(Z) = V(X+bY) = V(X)+b2V(Y) { x and Y are independent} = 1+ b2
Q: Suppose these measurements as random variables, where X has the mean of 1 and standard deviation of…
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Q: Let X have a mean of 13 and a variance of 1.1. Let Y have a mean of 9.1 and a variance of 0.75. The…
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Q: If all rhe scores in a set of test scores were the same , the variance would be equal to : a. 0 b.…
A: Solution :The Formula for variance is :Variance Σxi-x2n
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- Suppose that X1, ..., Xn are random variables such that the variance of each variable is 1 and the correlation between each pair of different variables is 1/4. Determine Var (X1 + ...+Xn).Find variance of Y1A park ranger is searching for bears in a region of the park where on average there are 5 bears per square mile. The bears are solitary independent creatures, so it is reasonable to assume that the numbers of bears in disjoint regions are independent unknowns and that the number expected in any region is proportional to the area of the region. The ranger can also assume that in a very tiny region, say a square inch, it is impossible to find more than one bear. What is the variance in the number of bears he will find in a 5 square mile region of the park?
- Suppose X and Y are two random variables with covariance Cov(X, Y) = 3 and Var(X) = 16. Find the correlation coefficient between X and Y.Express var(X + Y), var(X − Y), and cov(X + Y, X −Y) in terms of the variances and covariance of Xand Y.A manufacturer of cigarettes wishes to test the claim that the variance of thenicotine content of the cigarettes the company manufactures is equal to0.638 milligram. The variance of a random sample of 25 cigarettes is 0.930milligram. At α = 0.05, test the claim.