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![& A=7 f( 6 aco O<31 E(X) = 52x+d2 E(+²) = /2x3 da - 2 [x4] ~CX) = E(x²) - [€(x)]? 18](http://img.homeworklib.com/questions/34740af0-03b2-11ec-9ee8-a5d06da2847d.png?x-oss-process=image/resize,w_560)
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The value A is 7
Insert YOUR value of "A" in the following questions (all). Question...
How to slove it Question 5. Let X and Y be random variables having expected value...
How to slove it
Question 5. Let X and Y be random variables having expected value 0 and correlation p. Show that E Var(Y|X)| < (1 -β)Var(Y).
Please answer these questions. and show detail. 1: Your new job is to test the fairness...
Please answer these questions. and show detail. 1: Your new job is to test the fairness of dice in Las Vegas. What is the probability (in decimal) that one will roll a 1 with a 6 sided die? 2: What is the probability that one will roll 3 1s in 6 attempts? 3: Given a normal distribution what is the probability one would get a value greater than 3 in a population with a mean of 1 and SD of...
Two random variables, X and Y, have joint probability density function f ( x , y...
Two random variables, X and Y, have joint probability density function f ( x , y ) = { c , x < y < x + 1 , 0 < x < 1 0 , o t h e r w i s e Find c value. What's the conditional p.d.f of Y given X = x, i.e., f Y ∣ X = x ( y ) ? Don't forget the support of Y. Find the conditional expectation E [...
A probability distribution function for a random variable X has the form Fx(x) = A{1 -...
A probability distribution function for a random variable X has the form Fx(x) = A{1 - exp[-(x - 1)]}, 1<x< 10, -00<x<1 (a) For what value of A is this a valid probability distribution function? (b) Find the probability density function and sketch it. (c) Use the density function to find the probability that the random variable is in the range 2 < X <3. Check your answer using the distribution function. (d) Find the probability that the random variable...
1 Let X denote the amount of space occupied by an article placed in a 1-ftpacking...
1
Let X denote the amount of space occupied by an article placed in a 1-ftpacking container. The pdf of X is below. F(x) = {72x6 *otherwise Obtain the cdf of X. x < 0 0<x<1 F(x) = { X> 1 (b) What is P(0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) What is P(0.45 SXS 0.7)? (Round...
A value=2 A -2 It is known that for a random variable X, the Expectation of...
A value=2
A -2 It is known that for a random variable X, the Expectation of X equals 5, and that the Variance equals 7. A random variable Y is defined as: Y= AX+2A = (INSERT THE VALUE OF A) 3(a) Find the Expectation of Y 3(b) Find the Variance of Y 3(c) Find E[Y) 3(d) Find the Standard Deviation of Y Question 4 (10%) For the following probability density function. What is the probability P(x>0.? SÅ (1-x) -A<x<A
Question 4: Let X and Y be two discrete random variables with the following joint probability...
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
Question 2 a) A random variable X has the probability function f(x) = k·(7 - x)...
Question 2 a) A random variable X has the probability function f(x) = k·(7 - x) for x = 1,2,...,6 Write down the probability distribution of X i. (3 marks) (3 marks) ii. Show that k = 1/21 Find E(X) and Var(X) Deduce the standard deviation, dy from Var(X). (3 + 3 marks) (1 mark) iv
Required information [The following information applies to the questions displayed below.] Nick's Novelties, Inc., is considering...
Required information [The following information applies to the questions displayed below.] Nick's Novelties, Inc., is considering the purchase of new electronic games to place in its amusement houses. The games would cost a total of $332,000, have a fifteen-year useful life, and have a total salvage value of $33,200. The company estimates that annual revenues and expenses associated with the games would be as follows: $ 280,000 Revenues Less operating expenses: Commissions to amusement cona houses Insurance 57,000 Depreciation 19,920...
QUESTION 6 & 7. The next three questions (5 - 7) refer to the following: Weights...
QUESTION 6 & 7.
The next three questions (5 - 7) refer to the following: Weights of walleye from the Lake Winnipeg follow a normal distribution with mean 11 kg and standard deviation 2.5 kg. Question 5 (1 point) ✓ Saved What is the probability that the average weight of a random sample of 5 walleye is less than 10 kg? Keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places. Your Answer: 0.1038...
How to slove it
Question 5. Let X and Y be random variables having expected value 0 and correlation p. Show that E Var(Y|X)| < (1 -β)Var(Y).
A probability distribution function for a random variable X has the form Fx(x) = A{1 - exp[-(x - 1)]}, 1<x< 10, -00<x<1 (a) For what value of A is this a valid probability distribution function? (b) Find the probability density function and sketch it. (c) Use the density function to find the probability that the random variable is in the range 2 < X <3. Check your answer using the distribution function. (d) Find the probability that the random variable...
1
Let X denote the amount of space occupied by an article placed in a 1-ftpacking container. The pdf of X is below. F(x) = {72x6 *otherwise Obtain the cdf of X. x < 0 0<x<1 F(x) = { X> 1 (b) What is P(0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) What is P(0.45 SXS 0.7)? (Round...
A value=2
A -2 It is known that for a random variable X, the Expectation of X equals 5, and that the Variance equals 7. A random variable Y is defined as: Y= AX+2A = (INSERT THE VALUE OF A) 3(a) Find the Expectation of Y 3(b) Find the Variance of Y 3(c) Find E[Y) 3(d) Find the Standard Deviation of Y Question 4 (10%) For the following probability density function. What is the probability P(x>0.? SÅ (1-x) -A<x<A
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
Question 2 a) A random variable X has the probability function f(x) = k·(7 - x) for x = 1,2,...,6 Write down the probability distribution of X i. (3 marks) (3 marks) ii. Show that k = 1/21 Find E(X) and Var(X) Deduce the standard deviation, dy from Var(X). (3 + 3 marks) (1 mark) iv
Required information [The following information applies to the questions displayed below.] Nick's Novelties, Inc., is considering the purchase of new electronic games to place in its amusement houses. The games would cost a total of $332,000, have a fifteen-year useful life, and have a total salvage value of $33,200. The company estimates that annual revenues and expenses associated with the games would be as follows: $ 280,000 Revenues Less operating expenses: Commissions to amusement cona houses Insurance 57,000 Depreciation 19,920...
QUESTION 6 & 7.
The next three questions (5 - 7) refer to the following: Weights of walleye from the Lake Winnipeg follow a normal distribution with mean 11 kg and standard deviation 2.5 kg. Question 5 (1 point) ✓ Saved What is the probability that the average weight of a random sample of 5 walleye is less than 10 kg? Keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places. Your Answer: 0.1038...
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