Question
The pdf of two-component spliced distribution is given below. f(x) =0.01, for 0 ≤ x <...
The pdf of two-component spliced distribution is given below. f(x) =0.01, for 0 ≤ x < 50 and 0.02 for 50 ≤ x ≤ 75 and 0 otherwise. Find the variance of X.
Homework Answers
Answer #1
Variance of X = Var(X) = E(X2) - [ E(X) ]2
Integrating we get :
Now,
Integrating we get :
Variance of X = Var(X) = E(X2) - [ E(X) ]2 = 2395.833 - ( 43.75)2 = 481.771
Not the answer you're looking for?
Similar Questions
2. Let X be a continuous random variable with pdf given by f(x) = k 6x...
2. Let X be a continuous random variable with pdf given by f(x)
= k 6x − x 2 − 8 2 ≤ x ≤ 4; 0 otherwise.
(a) Find k.
(b) Find P(2.4 < X < 3.1).
(c) Determine the cumulative distribution function.
(d) Find the expected value of X.
(e) Find the variance of X
The pdf of X is f(x) = 2xe−x2, 0 < x < ∞ and zero otherwise....
The pdf of X is f(x) = 2xe−x2, 0 < x < ∞ and
zero otherwise. Find the pdf of W = X2.
Suppose X is a random variable with pdf f(x)= {c(1-x) 0<x<1 {0 otherwise where c >...
Suppose X is a random variable with pdf
f(x)= {c(1-x) 0<x<1
{0 otherwise
where c > 0.
(a) Find c.
(b) Find the cdf F ().
(c) Find the 50th percentile (the median) for the
distribution.
(d) Find the general formula for F^-1 (p), the 100pth percentile
of the distribution when 0 < p < 1.
A random variable X has the following pdf f(x)=2x^-3, if x ≥1 0, Otherwise (a) Find...
A random variable X has the following pdf
f(x)=2x^-3, if x ≥1
0, Otherwise
(a) Find the cdf of X (b) Give a formula for the pth quantile of X
and use it to find the median of X. (c) Find the mean and variance
of X
Let f(x) = e^-2(2^x)/x! for x= 1,2,3,... and 0 otherwise. Show that f(x) is a pdf....
Let
f(x) = e^-2(2^x)/x! for x= 1,2,3,... and 0 otherwise.
Show that f(x) is a pdf.
Find the expected value of f(x).
2. Let the probability density function (pdf) of random variable X be given by: ...
2. Let the probability density function (pdf) of random variable
X be given by:
f(x) = C (2x -
x²),
for
0< x < 2,
f(x) = 0,
otherwise
Find the value of
C.
(5points)
Find cumulative probability function
F(x)
(5points)
Find P (0 < X < 1), P (1< X < 2), P (2 < X
<3)
(3points)
Find the mean, : , and variance,
F².
(6points)
Suppose that X is a random variable with pdf f(x) = cxe^(-x) for 0<x<1 and 0...
Suppose that X is a random variable with pdf f(x) = cxe^(-x) for
0<x<1 and 0 elsewhere.
a. find the value of c
b. find the expectation of x
c. find the variance of x
Suppose that a random variable X has the distribution (pdf) f(x) =kx(1 -x^2) for 0 <...
Suppose that a random variable X has the distribution (pdf) f(x)
=kx(1 -x^2) for
0 < x < 1 and zero elsewhere.
a. Find k.
b. Find P(X >0. 8)
c. Find the mean of X.
d. Find the standard deviation of X.
2. Assume that test scores for all students on a statistics test
are normally
distributed with mean 82 and standard deviation 7.
a. Find the probability that a single student scores greater than
80.
b. Find the...
Suppose X and Y are continuous random variables with joint pdf f(x,y) = 2(x+y) if 0...
Suppose X and Y are continuous random variables with joint pdf
f(x,y) = 2(x+y) if 0 < x < < y < 1 and 0 otherwise.
Find the marginal pdf of T if S=X and T = XY. Use the joint pdf of
S = X and T = XY.
Compute the variance of the PDF f(x)= 64xe^(-8x). if x > 0 and 0 elsewhere
Compute the variance of the PDF f(x)= 64xe^(-8x). if x > 0
and 0 elsewhere
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 5 minutes ago
asked 8 minutes ago
asked 13 minutes ago
asked 39 minutes ago
asked 39 minutes ago
asked 53 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago