Question

A piecewise-linear cumulative distribution, function associated with the data values 1, 2, and 9 can be...

A piecewise-linear cumulative distribution, function associated with the data values 1, 2, and 9 can be found by connecting the points (1,0), (2,, 1/2), and (9,1) with lines. Find

a: the population mean

b: the population variance

c: the moment generating function

of the random variable associated with this piecewise-linear cumulative distribution

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
- Determine the cumulative distribution function for the random variable with probability density function ?(?) =...
- Determine the cumulative distribution function for the random variable with probability density function ?(?) = 1 − 0.5? for 0 < ? < 2 millimeters. - Determine the mean and variance of the random variable with probability density function
Let Z~N(0;1) and Y=Z^2. Find the cumulative distribution function, probability density function, and moment generating function...
Let Z~N(0;1) and Y=Z^2. Find the cumulative distribution function, probability density function, and moment generating function of Y.
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t)...
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t) Find E(X) using the moment generating function 2. If X1 , X2 , X3  are independent and have means 4, 9, and 3, and variencesn3, 7, and 5. Given that Y = 2X1  -  3X2  + 4X3. find the mean of Y variance of  Y. 3. A safety engineer claims that 2 in 12 automobile accidents are due to driver fatigue. Using the formula for Binomial Distribution find the...
A random variable X has the cumulative distribution function (cdf) given by F(x) = (1 +...
A random variable X has the cumulative distribution function (cdf) given by F(x) = (1 + e−x ) −1 , −∞ < x < ∞. (i) Find the probability density function (pdf) of X. (ii) Roughly, take 10 points in the range of x (5 points below 0 and 5 points more than 0) and plot the pdf on these 10 points. Does it look like the pdf is symmetric around 0? (iii) Also, find the expected value of X.
3. (10pts) Let Y be a continuous random variable having a gamma probability distribution with expected...
3. (10pts) Let Y be a continuous random variable having a gamma probability distribution with expected value 3/2 and variance 3/4. If you run an experiment that generates one-hundred values of Y , how many of these values would you expect to find in the interval [1, 5/2]? 4. (10pts) Let Y be a continuous random variable with density function f(y) = 1 2 e −|y| , −∞ < y < ∞ 0, elsewhere (a) Find the moment-generating function of...
1) Let the random variables ? be the sum of independent Poisson distributed random variables, i.e.,...
1) Let the random variables ? be the sum of independent Poisson distributed random variables, i.e., ? = ∑ ? (top) ?=1(bottom) ?? , where ?? is Poisson distributed with mean ?? . (a) Find the moment generating function of ?? . (b) Derive the moment generating function of ?. (c) Hence, find the probability mass function of ?. 2)The moment generating function of the random variable X is given by ??(?) = exp{7(?^(?)) − 7} and that of ?...
10pts) Let Y be a continuous random variable with density function f(y) = 1 2 e...
10pts) Let Y be a continuous random variable with density function f(y) = 1 2 e −|y| , −∞ < y < ∞ 0, elsewhere (a) Find the moment-generating function of Y . (b) Use the moment-generating function you find in (a) to find the V (Y ).
1.a)Pregnancy lengths are normally distributed with a mean of 39 weeks and a standard deviation of...
1.a)Pregnancy lengths are normally distributed with a mean of 39 weeks and a standard deviation of 2 weeks. Find the following. a. P(X > 36) b. P(37 < X < 40) c. The cutoff for the shortest 10% of all pregnancy lengths 1.b)Suppose the random variable X has a Poisson distribution with rate L use the moment generating function method to show that the mean and variance of X are both L. 1.c)Let X have a gamma distribution. a. Use...
Find the moment generating function of each of the following random variables. Then, use it to...
Find the moment generating function of each of the following random variables. Then, use it to find the mean and variance of the random variable 1. Y, a discrete random variable with P(X = n) = (1-p)p^n, n >= 0, 0 < p < 1. 2. Z, a discrete random variable with P(Z = -1) = 1/5, P(Z = 0) = 2/5 and P(Z = 2) = 2/5.
Evaluate the cumulative distribution function of a binomial random variable with n equals 3 and p...
Evaluate the cumulative distribution function of a binomial random variable with n equals 3 and p equals 1/3 at specified points. Give exact answers in form of fraction. Upper F(0 ) equals Upper F(1) equals Upper F (2) equals Upper F(3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT