3. The expection of a random variable X is equal to 5. What can be say about the expectations of (a) (b) In X (c) X² + 5X – 3?

Q: 2] If a random variable X is defined such that E[(X - 1)2]=10 ,E[(X- 2)²]=6. find u and o?. | =

A:

Q: Let X, Y, and Z have means 1,2, and 3, respectively, and variances 4,5, and 9 respectively. X, Y,…

A: From the provided information, Let X, Y and Z have means 1, 2 and 3, respectively, and variances 4,5…

Q: For the random variable X. E(X) = 2, E(X =7 then the value of Tar(2X+3) is

A:

Q: Suppose for a certain random variable, X, we have V( X) =1. then which of the following is a true…

A: For a certain random variable, X, we have V(X)=1.

Q: If x is a random variable (3,x-bn), find the smallest value for n so that it achieves 0.8 <(1 2 p(x)…

A: If a random variable X follows binomial distribution. X~Bx, n, p=13 and PX≥1&gt;0.8 We need to find…

Q: 2. Suppose that X is a random variable with E(X) = 6 and Var(X) = 4. Find the following: a) Е(4X +…

A:

Q: 1) If Var(X-Y) = 2, Var(X+Y) = 4, E(X) = 3 and E(Y) = 1, than what is E(XY)? 2) If X and Y are…

A: Solution is given below

Q: (1) If two random variables X and Y are statistically independent, then X and Y are said to be…

A: Given that  (1) If two random variables X and Y are statistically independent, then X and Y are said…

Q: 5. Show that for a discrete uniform random variable X, if each of the values in the range of X is…

A:

Q: Suppose for this random variable X we want to compute P(X ≤ 3)

A:

Q: 4.62 If X and Y are independent random variables with variances o of the random variable Z = -2X +…

A: Given that Var(X) = 5 And Var(Y) = 3

Q: 4.62 If X and Y are independent random variables with variances o = of the random variable Z = -2X +…

A: 4.62: Given that X and Y are independent random variables with variances σX2=5 and σy2=3. And σXY=0…

Q: 1- If the E (XY) = 3 and the mean of X and Y are both equal to 2, then what is the covariance of the…

A: We have to find covariance.

Q: 21.12. Suppose that X and Y are independent, nonnegative random variables and that E[X]=∞ and…

A: Given : X and Y are independent and non-negative random variables E(X) =infinity  E(Y)=0

Q: If a random variable X is defined such that E[(X-1)*]=10and E[(X-2)²]=6, find ux and o?,

A: Consider           EX-12=10    EX2-2X+1=10EX2-2EX+1=10      EX2-2EX=10-1…

Q: For the two random variables X and Y ,in the previous question O Xand Y are not independent OX and Y…

A:

Q: Suppose that Y is a discrete random variable with mean u and variance o and let W = 5Y. (a) Do you…

A:

Q: Suppose the p.d.f. of random variable X is defined as x³/20 if1<x< 3 f(x) = otherwise

A:

Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2 +…

Q: Suppose x is a normally distributed random variable with u= 28 and o = 5. a. P(x 2xg) = 5 b. P(x…

A: Suppose X is normally Distributed Random Variable with mean  μ=28 and Standard Deviation σ=5Given…

Q: 6.17 The pmf of a random variable X is given below. 1 2 3 4 5 p(x) |.1+0 .2+ 0 .2+30 1 0 .4 – 40 In…

A: x 1 2 3 4 5 p(x) .1+θ .2+θ .2+3θ .1-θ .4-4θ HO ; θ=0 HO ϑ =0.10 HO IS EJECTED X =1.2.3

Q: Suppose that X is an exponentially distributed random variable with A = 0.75. Find each of the…

A:

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

A:

Q: Suppose X is a random variable with E(X2)=10 , and E(X)=2. Find the following: E(2X + 5) Var(X)…

A: Suppose X is a random variable with E(X2)=10 , and E(X)=2.

Q: The mumber students who enter a Library in an hour is a poisson random variable. and suppose that…

A:

Q: If X1 and X2 are independent random variables with distribution given by P[Xi] = −1 = P[Xi = 1] =…

A: Construct the PMF of X1X2, So, P(X1X2 = x) = P(X1=1, X2 = 1) +P(X1=-1, X2 = -1)    if x =1P(X1=-1,…

Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?

A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

Q: 7. Suppose that X is a Poisson random variable such that P(X = 1) = P(X = 2). %3D %3D (a) What is…

A: we have given that  X ~ P(lambda) X is a discrete random variable  P(X=x)=exp^-lambda . lambda^x/x!

Q: 4.3.2 The cumulative distribution func- tion of random variable X is (r+ 1)/2 -<r <1, 221. Ex(r) =…

A: The previous part of #b, c, d is not visible. I am able to see #4.3.2 only completely. So, I am…

Q: For a random variable X, suppose that E[X] = 4 and Var(X) = 9. Then %3D (a) E[(4 + X)²] = (b) Var(5…

A: We have given that  X is a random variable  E(X) = 4  And Var( X)  = 9

Q: If the probability function of the random variable x is defined as x-N(20,25), what is the standard…

A: We have to find correct answer..

Q: a.b.c

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: Let X be a random variable with probabilities as shown in Table 3.7. Table 3.7 Values of X and P(x)…

A:

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). ii. Var(X).…

A:

Q: Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d).…

A:

Q: Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)30.5, P(2)=0.2 and…

A: The discrete random variable X takes only three values 0, 2, and 3. The probabilities are P0=0.5,…

Q: Suppose that W is a random variable with E(W4)&lt; ∞. Show thatE(W2) &lt; ∞.

A: Given: Jensen’s inequality says that if g(.) is a convex function:

Q: If X is Binomial random variable with mean u = 2 and standard deviation o = 1. Find P(X > 1) %3D 15…

A:

Q: 8) Consider the following Random Variable X X = k Pr(X=k) 3 .2 7 .1 1 .4 4 .2 9. .1 Find the…

A: We want to find P(X&gt;4)= ? And E(X), and Var(X)= ?

Q: 2. Let X be a random variable with the following probability distribution: -3 6 9 1/6 1/2 1/3 Find…

A: We will first find the probability mass function of X2 x x2 = Y f(y) (Probability remains the…

Q: If X is a geometric random variable with p = 0.5, for what value of k is P(X ≤ k) ≃ 0.95?

A: A discrete random variable X is said to have a geometric distribution if it has a probability…

Q: Suppose that X is an exponentially distributed random variable with Å = 0.75. Find each of the…

A:

Q: .If a random variable X assumes the values 0 and 1 with P(X = 0) = 3 P(X = 1), then compute the…

A: From the given information, P(X=0)=3P(X=1) P(X=0)+P(X=1)=13P(X=1)+P(X=1)=1…

Q: Suppose X1,X2..X10 are independent N(H,o) random variables. Z1,Z2.Z5 are independent N(0,1) random…

A: Since X~N(μ,σ2)  &amp; Z~N(0,1) therefore,          X¯~N(μ,σ2/n) &amp; Z¯~N(0,1/m)    where n = 10…

Q: Show that if X', Y' are the deviations of the random variables X and Y from their respective means,…

A: In our daily life, we all may come across some situations that one variable that is related to other…

Q: 9.1.1. X, and X, are iid random variables with variance Var[X]. (a) What is E[X, - X2]? (b) What is…

A:

Q: Consider the random variable X such that E(X) = 3 and Var(X) = 2 if the random variable Z = 1+5X.…

A: Given information:Given that the mean and variance of the variable X is 3 and 2.That is, E(X) = 3…

Q: Each of the random variables X and Y takes only 3 values {1,2,3} with the following probabilities: 1…

A: Consider, P(1&lt;X&lt;=3, 1&lt;Y&lt;=3)=P(x=2, y=2)+P(x=2,y=3)+P(x=3,y=2)+P(x=3,y=3)…

Q: 1.) Consider the discrete random variable with pmf: P(X=x)=(A/(4^x)), x=2,3,4,5,.... What is the…

A: The PMF of the variable X is given below: The PMF of the discrete random variable X is:

Q: Suppose that X is a binomial random variable withn = 200 and p = 0.4. Approximate following…

A:

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.