The mean and standard deviation of a random variable x are 0 and 4 respectively. Find the mean and standard deviation of the given random variables: (1) y = x+ 1 (2) v = 8x = (3) w = 8x +1

Q: . A sample of 60 women found that they run an average a  of 5km a week with a variance of 64.…

A: Given Data : For Sample 1 x̄1 = 5 s1 = 8 n1 = 60 For Sample 2 x̄2 = 3 s2…

Q: The mean and standard deviation of a random variable x are 3 and 1 respectively. Find the mean and…

A: Given that Let X denotes the random variable having mean =3 and standard deviation =1 Then we have…

Q: Consider the variable X whose mean and variance are given respectively by Hx = 27.2 and Var(X) =8.…

A: GivenμX=27.2Var(X)=8

Q: Consider two random variables, X and Y, such that Y =-4X +20. The mean value and the variance of X…

A: The correlation is the relationship between two variables. It can be measured using the correlation…

Q: Suppose that the random variable has mean and variance o2>0. What are the values of a and b >0 such…

A:

Q: A process produces batches of a chemical whose impurity concentrations follow a normal distribution…

A: Given: Normal distribution, σ2=1.75 Number of samples, n=20 Sample variance, S2>3.10 The…

Q: A population has a mean of μ = 50, a variance of σ2 = 9, and a standard deviation of σ = 3.  The…

A:

Q: The time it takes to bake a Blueberry Muffin is normally distributed with a mean of 45 minutes and a…

A: Given that , The time it takes to bake a Blueberry Muffin is normally distributed with a mean of 45…

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: The random variable X has a probability distribution with mean 3 and variance 9 and the random…

A:

Q: Suppose the variance of X is 14. What is the variance of .47X?

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

Q: Calculate the mean and standard deviation of the metabolic rates in Example 3.29 (page 116), showing…

A: Solution: x (x-x) (x-x)2 1792 192 36864 1666 66 4356 1362 -238 56644 1614 14 196 1460…

Q: Find the range, variance, and standard deviation of the SAMPLE. Range :  Variance:    Standard…

A: Given observation and calculation is shown below

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: The following is the formulae for Var (X + Y)                               Var (X + Y) = Var (X) +…

Q: Suppose Y = 6x-8, where x is a random variable with mean 2 and a variance of 4/3. Determine the…

A:

Q: If X has a mean μ and variance σ and Y = aX+b where a and b are constants: Find the mean, variance,…

A: Given, Mean, E(X)= mu Variance = E(X2)- (E(X))2 = sigma From this equation we can calculate the…