Let X and Y be two independent random variables. If the variance of X is 12 and the variance of Y is 20, find the variance of the random variable Z = 2X +3Y. Answer:

Q: The mean of 5 observations is 4.4 and the variance is 8.24. If three of the five observations are…

A: Given: Number of observations (n) = 5 Mean x¯=4.4 Variance (s2) = 8.24 The three observations are 1,…

Q: Determine the variance of Z.

A: Helpful formulas (i)VaX=a2VX(ii)VC=0,where c is the constant(iii)VaX+ bY=a2VX+ b2VY

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A: The strength and direction of linear relationship between two variables is measured by correlation.

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A: We have to find corrcet answer.

Q: Find the variance with solution

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Q: b) The following table shows the time students from a college took to complete a marathon. Time…

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Q: The range and the variance are both measures of distance.

A: Solution-: The range and the variance are both measures of distance.

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A: Solution

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A: Consider a random variable X defines the number of eggs eaten in 10 days.

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A: Given that  Sample size n1=20 , n2=20 Sample variance s12=42.3 s22=47.6

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Q: Suppose the variance of X is 95. What is the variance of .09X?

A: The objective of this question is to find the variance of a variable that has been scaled by a…

Q: You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins…

A: Here Given  two  balanced coin is tossed So Probability of tail=12=Probability of head Now Here…

Q: Let X; be independent Uniform(-10,10) random variables, for i=1, 2, ..., 5. Let Y = X₁+X₂+...+X5.…

A: Let  be independent random variable follows uniform(-10, 10) distribution for i=1, 2,....., 5the…

Q: A. B. O n = 28, X = 118, s = 10.0 n=25, X = 112, S = 12.0 Find the variance of A and B

A: n=28 , x¯=118   ,   s=10.0

Q: The mean of 5 observations is 4.4 and the variance is 8.24. If the three of the five observations…

A:

Q: e) Determine the mean and variance of W = 3X,-2X2+5

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Q: The average lateness for one of the top airline companies is 10 minutes. The variance of the…

A: Given,mean(μ)=10standard deviation (σ)=9  =3and X=13

Q: X, =2, o =9, X2 =-1, ox, = 4 and Cx,x2 =-3, are transformed to new random variables Y, and Y,…

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Q: The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city…

A: Solution:  Given information: μ= 1000  Population mean σ2= 1200  Population varaince tax = 10%

Q: The average number of newspapers for sale in an airport newsstand is 12, and the variance is 25. The…

A: We have given that  Average and variance for newspapers.  Average = 12 Variance = 25 Standard…

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Q: Let X and Y be nonnegative integer-valued discrete random variables such that JC. 2-m-n P(X = m, Y =…

A: Given the joint pmf of the nonnegative integer-valued discrete random variables X and Y:

Q: Given a binomial variable with a mean of 20 and a variance of 16, find n and p.

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Q: Suppose for 40 observations the variance is 50. If all the observations are increased by 20, the…

A: given If the values of all 40 observations are increased by 20 the mean increases by 20 as well,the…

Q: A biased die is thrown thirty times and the number of sixes seen is eight. If the dic is thrown a…

A: Given No of trails (n)=12 Out of 30 rolls we observe 8 sixes

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Q: Two statistically independent ran dom have variances of Variables X and new Man- Y o² = 9 and of dom…

A: U=3X+4YV=5X-2Yand X , Y two independent random variables.

Q: find the variance for the given data 7 7 2 5 1

A: The mean of the data can be calculated as:

Q: Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance…

A: n1=n2 =30 dfn =n1-1  dfd=n2-1

Q: Assume that we have a data set composed of three features. After doing PCA we find that the…

A: PCA.

Q: If covariance between X and Y variables is 10 and the variances of X and Y are respectively 16 and…

A: The objective is to find correlation coefficient