Let f(x) = k(5x − x2) if 0 ≤ x ≤ 5 and f(x) = 0 if...
Let f(x) = k(5x − x2) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5.
(a) For what value of k is f a probability density function?
k = ______
(b) For that value of k, find P(X > 1).
P(X > 1) = _______
(c) Find the mean.
μ =________
Please show all work neatly, line by line, and justify steps so I can learn.
Thank you!
Homework Answers
The random variable X has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤...
The random variable X has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 Show that k = 2/9 Find 2 E(X), 3 the mode of X, 4 the cumulative distribution function F(X) for all x. 5 Evaluate P(X ≤ 2.5). 6 Deduce the value of the median and comment on the shape of the distribution.
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and...
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
Let X be the random variable whose probability density function is f(x) = ce−5x , if...
Let X be the random variable whose probability density function is f(x) = ce−5x , if x > 0 f(x)=0, if otherwise (a) Find c. (b) Find P(1 ≤ 2X − 1 ≤ 9). (c) Find F(2) where F denotes the c.d.f. of X. (d) Write an equation to find E[3X2 + 15]. You do not have to evaluate it.
Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Det...
Question 1(a&b)
Question 3 (a,b,c,d)
QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3 e-tz, x > 0. a. Find E(XK), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for 1, Gamma for the function, and pi for the mathematical constant i. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/n. Hint 1: Consider u = 1x2 or u = x2....
Let the mathematical function flu) be defined as: f(x)-exp-0.5x)cos(5x) - 0.5 .x>0 Write a Matlab...
Please follow the instructions
without using other solutions. Thank you in advance
Let the mathematical function flu) be defined as: f(x)-exp-0.5x)cos(5x) - 0.5 .x>0 Write a Matlab function called Newton1 that would find the zero based on a passing initial guess as an input argument x0. The function returns the estimated zero location x, the function value at the zero location (f) and the number of iteration k. The iteration function converges if f(%) < 5"eps and it should diverge...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3e-dız?, x > 0. a. Find E(X), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for \, Gamma for the function, and pi for the mathematical constant 11. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/ I. Hint 1: Consider u = 1x2 or u = x2....
Let f(x) = cxe-x if x 20 and f(x) = 0 if x < 0. (a)...
Let f(x) = cxe-x if x 20 and f(x) = 0 if x < 0. (a) For what value of c is fa probability density function? (b) For that value of c, find P(1<x< 4). 0.368
Let the mathematical function f(x) be defined as: f(x) = exp(-0.5x) cos(5x)-0.5 , x 〉 0 Write a ...
Let the mathematical function f(x) be defined as: f(x) = exp(-0.5x) cos(5x)-0.5 , x 〉 0 Write a Matlab function called Newton1 that would find the zero based on a passing initial guess as an input argument x0. The function returns the estimated zero location x, the function value at the zero location (f) and the number of iteration k. The iteration function converges if f(%) < 5*eps and it should diverge if the iteration number k>10000. When it diverges,...
Problem(2) (5 points) A continuous distribution has density function k sin(r); 0rST 0; f(x) = otherwise. (a) Find...
Problem(2) (5 points) A continuous distribution has density function k sin(r); 0rST 0; f(x) = otherwise. (a) Find the numerical value of k so that f(r) is a density function. (b) Find E[X] (c) Find E[X2. (d) Find Var X]
Problem(2) (5 points) A continuous distribution has density function k sin(r); 0rST 0; f(x) = otherwise. (a) Find the numerical value of k so that f(r) is a density function. (b) Find E[X] (c) Find E[X2. (d) Find Var X]
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
Question 1(a&b)
Question 3 (a,b,c,d)
QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3 e-tz, x > 0. a. Find E(XK), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for 1, Gamma for the function, and pi for the mathematical constant i. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/n. Hint 1: Consider u = 1x2 or u = x2....
Please follow the instructions
without using other solutions. Thank you in advance
Let the mathematical function flu) be defined as: f(x)-exp-0.5x)cos(5x) - 0.5 .x>0 Write a Matlab function called Newton1 that would find the zero based on a passing initial guess as an input argument x0. The function returns the estimated zero location x, the function value at the zero location (f) and the number of iteration k. The iteration function converges if f(%) < 5"eps and it should diverge...
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3e-dız?, x > 0. a. Find E(X), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for \, Gamma for the function, and pi for the mathematical constant 11. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/ I. Hint 1: Consider u = 1x2 or u = x2....
Let f(x) = cxe-x if x 20 and f(x) = 0 if x < 0. (a) For what value of c is fa probability density function? (b) For that value of c, find P(1<x< 4). 0.368
Let the mathematical function f(x) be defined as: f(x) = exp(-0.5x) cos(5x)-0.5 , x 〉 0 Write a Matlab function called Newton1 that would find the zero based on a passing initial guess as an input argument x0. The function returns the estimated zero location x, the function value at the zero location (f) and the number of iteration k. The iteration function converges if f(%) < 5*eps and it should diverge if the iteration number k>10000. When it diverges,...
Problem(2) (5 points) A continuous distribution has density function k sin(r); 0rST 0; f(x) = otherwise. (a) Find the numerical value of k so that f(r) is a density function. (b) Find E[X] (c) Find E[X2. (d) Find Var X]
Problem(2) (5 points) A continuous distribution has density function k sin(r); 0rST 0; f(x) = otherwise. (a) Find the numerical value of k so that f(r) is a density function. (b) Find E[X] (c) Find E[X2. (d) Find Var X]
Most questions answered within 3 hours.
-
______ activity indicates the presence of an electron transport
chain.
1- gelatinase 2- oxidase 3- caseinase...
asked 1 minute ago -
The molarity of a silver nitrate solution is 0.192 M. How many
grams of silver ions...
asked 14 minutes ago -
Which of the following solutes will produce a greater increase
in boiling point when it is...
asked 10 minutes ago -
true or false: Series connected electrical circuit is a voltage
divider, and voltage of each device...
asked 5 minutes ago -
A 100-W lightbulb has a resistance of about 12 Ω when cold (20
∘C) and 128...
asked 9 minutes ago -
For the asset shown in the following table, use the capital
asset pricing model to find...
asked 10 minutes ago -
If the impulse response of a circuit is a pulse y(t) = u(t) –
u(t-T), T...
asked 17 minutes ago -
Eukaryotic cells have __ which is similar to prokaryotes of
Archaea.
A Ester-linked membrane lipids
B...
asked 26 minutes ago -
true or false. If work is done on a system by it's
surroundings, its value is...
asked 31 minutes ago -
Rene Descartes establishes a dualist approach to the world.
Explain this dualism, and how it connects...
asked 37 minutes ago -
According to a recent national Gallup Poll of U.S. smartphone
user, 35% upgrade their cell phone...
asked 40 minutes ago -
Suppose researchers perform a large-sample test of a population
proportion where the null hypothesis is that...
asked 39 minutes ago