Consider a random variable X with PDF given by f(x)=1/10 for x = 0, 1, 2,...,9....
Consider a random variable X with PDF given by f(x)=1/10 for x = 0, 1, 2,...,9. How do we call such a distribution? Then E(X) = 4.5 and Var(X) = 8.25. Consider a sample mean of 50 observations from this distribution. Find the probability that the sample mean is above 4.
Homework Answers
Add Answer to:
Consider a random variable X with PDF given by f(x)=1/10 for x =
0, 1, 2,...,9....
Show all work! Thank you! kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1...
Show all work! Thank you!
kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)
Consider an exponentially distributed random variable X with pdf f(x) = 2e−2x for x ≥ 0....
Consider an exponentially distributed random variable X with pdf f(x) = 2e−2x for x ≥ 0. Let Y = √X. a. Find the cdf for Y. b. Find the pdf for Y. c. Find E[Y]. If you want to skip a difficult integration by parts, make a substitution and look for a Gamma pdf. d. This Y is actually a commonly used continuous distribution. Can you name it and identify its parameters? e. Suppose that X is exponentially distributed with...
Suppose the random variable X has probability density function (pdf) - { -1 < x<1 otherwise...
Suppose the random variable X has probability density function (pdf) - { -1 < x<1 otherwise C fx (x) C0 : where c is a constant. (a) Show that c = 1/7; (b) Graph fx (х); (c) Given that all of the moments exist, why are all the odd moments of X zero? (d) What is the median of the distribution of X? (e) Find E (X2) and hence var X; (f) Let X1, fx (x) What is the limiting...
8. Consider a random sample of size n from a distribution with pdf f(x) = 0...
8. Consider a random sample of size n from a distribution with pdf f(x) = 0 else (a) Find the pdf of the smallest order statistic, X(i) b) Find E() and Var(X)) c) Find the pdf of the largest order statistic, X(n)
4. Let X be a random variable with pdf f(x). Suppose that the mean of X...
4. Let X be a random variable with pdf f(x). Suppose that the mean of X is 2 and the variance of X is 5. It is easy to show that the pdf of Y = 0X is fo(y) = f(1/0) (You do not have to show this, but it's good practice.) Suppose the popula- tion has the distribution of foly) with 8 unknown. We take a random sample {Y}}=1 and compute the sample mean Y. (a) What is a...
(+3) The pdf f(x) of a random variable X is given by 0, ifx<0 Find the...
(+3) The pdf f(x) of a random variable X is given by 0, ifx<0 Find the cumulative distribution function F(r
Problem 2 (9 points) Consider a random variable X with pdf given by: (x) 0.06x +0.05...
Problem 2 (9 points) Consider a random variable X with pdf given by: (x) 0.06x +0.05 0x <5 4pts P (3.5 < X < 6.5)- Find Find Ex]- 5pts Problem 3 (9 points) Consider a random variable X with pdf given by: f(x) 0.06x +0.05 x -0, 1.5, 2, 4, 5 .ind P(3.5 <X <6.5)- 4pts 5pts Given that EN-3.46, find al
(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a)...
(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a) Find E(X). (b) Find Var(X)
For all of the following, consider the joint pdf f(, y) c(3ry) for a, yE (0, 1 and 0 otherwise. 5. Given a random sampl...
For all of the following, consider the joint pdf f(, y) c(3ry) for a, yE (0, 1 and 0 otherwise. 5. Given a random sample of 100 observations from X, find P(.5 < X HINT: Use the CLT .55)
For all of the following, consider the joint pdf f(, y) c(3ry) for a, yE (0, 1 and 0 otherwise. 5. Given a random sample of 100 observations from X, find P(.5
Show all work! Thank you!
kxk-1 4.34 Given the pdf for X is f(x)= 10 0<x<1 otherwise determine E[X] and Var[X]. 1 0<x<1 4.35 Given the pdf for X is f(x)=x. determine E[X] and Var[X]. 10 otherwise' Sections 4.5-4.8 A<x<B 4.36 Given a random variable with pdf f(x)= B-A , determine the MGF for this random variable. 10 otherwise so x50 4.37 Given a random variable with pdf f(x)= betx 0<x , determine the MGF for this random variable. '...
9. Let a random variable X follow the distribution with pdf f(z)=(0 otherwise (a) Find the moment generating function for X (b) Use the moment generating function to find E(X) and Var(X)
Suppose the random variable X has probability density function (pdf) - { -1 < x<1 otherwise C fx (x) C0 : where c is a constant. (a) Show that c = 1/7; (b) Graph fx (х); (c) Given that all of the moments exist, why are all the odd moments of X zero? (d) What is the median of the distribution of X? (e) Find E (X2) and hence var X; (f) Let X1, fx (x) What is the limiting...
8. Consider a random sample of size n from a distribution with pdf f(x) = 0 else (a) Find the pdf of the smallest order statistic, X(i) b) Find E() and Var(X)) c) Find the pdf of the largest order statistic, X(n)
4. Let X be a random variable with pdf f(x). Suppose that the mean of X is 2 and the variance of X is 5. It is easy to show that the pdf of Y = 0X is fo(y) = f(1/0) (You do not have to show this, but it's good practice.) Suppose the popula- tion has the distribution of foly) with 8 unknown. We take a random sample {Y}}=1 and compute the sample mean Y. (a) What is a...
(+3) The pdf f(x) of a random variable X is given by 0, ifx<0 Find the cumulative distribution function F(r
Problem 2 (9 points) Consider a random variable X with pdf given by: (x) 0.06x +0.05 0x <5 4pts P (3.5 < X < 6.5)- Find Find Ex]- 5pts Problem 3 (9 points) Consider a random variable X with pdf given by: f(x) 0.06x +0.05 x -0, 1.5, 2, 4, 5 .ind P(3.5 <X <6.5)- 4pts 5pts Given that EN-3.46, find al
(1 point) The pdf of a continuous random variable X is given by 0 otherwise (a) Find E(X). (b) Find Var(X)
For all of the following, consider the joint pdf f(, y) c(3ry) for a, yE (0, 1 and 0 otherwise. 5. Given a random sample of 100 observations from X, find P(.5 < X HINT: Use the CLT .55)
For all of the following, consider the joint pdf f(, y) c(3ry) for a, yE (0, 1 and 0 otherwise. 5. Given a random sample of 100 observations from X, find P(.5
Most questions answered within 3 hours.
-
find the critical value associated with a right sided hypothesis of
the mean using a sample...
asked 51 minutes ago -
Which of the following statements is true with respect to a
simple linear regression model?
a....
asked 1 hour ago -
The energy required to remove an electron from a surface of a
solid element is called...
asked 2 hours ago -
How would you train your employees to avoid risks of using
mobile devices?
asked 3 hours ago -
Assume Kw = 1.01 ✕ 10−14
For pure water, we can calculate [H3O+ ] = [OH...
asked 4 hours ago -
Suppose that on a temperature scale X, water boils at 203.0°X
and freezes at -105.7°X. What...
asked 5 hours ago -
BaS crystallizes in a cubic unit cell with S2- ions on each
corner and each face....
asked 5 hours ago -
A. 0≤P(Oi)≤10≤P(Oi)≤1 for each i
B. P(Oi)≤0P(Oi)≤0
C. P(Oi)=1+P(OCi)P(Oi)=1+P(OiC)
D. P(Oi)≥1P(Oi)≥1
If an experiment consists of...
asked 7 hours ago -
A battery has an emf of 9.20V and an internal resistance of 1.20
ohm. a)What resistance...
asked 7 hours ago -
The area of an elastic circular loop decreases at a constant
rate, dA/dt = −6.60×10−3 m2/s...
asked 8 hours ago -
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 9 hours ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 9 hours ago