Question
5. Let X be a continuous random variable with PDF fX(x)= c(2+x), −2 < x <...
5. Let X be a continuous random variable with PDF
fX(x)= c(2+x), −2 < x < −1,
c(2−x), 1<x<2,
0, elsewhere
(a) Find the value of c such that fX(x) is indeed a PDF.
(b) Determine the CDF of X and sketch its graph.
(c) Find P(X < 1.5).
(d) Find m = π0.5 of X. Is it unique?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
3. Let X be a continuous random variable with PDF fX(x) = c / x^1/2, 0...
3. Let X be a continuous random variable with PDF
fX(x) = c / x^1/2, 0 < x < 1.
(a) Find the value of c such that fX(x) is indeed a PDF. Is this
PDF bounded?
(b) Determine and sketch the graph of the CDF of X.
(c) Compute each of the following:
(i) P(X > 0.5).
(ii) P(X = 0).
(ii) The median of X.
(ii) The mean of X.
Let X be a continuous random variable with a PDF of the form fX(x)={c(1−x),0,if x∈[0,1],otherwise. c=...
Let X be a continuous random variable with a PDF of the form
fX(x)={c(1−x),0,if x∈[0,1],otherwise.
c=
P(X=1/2)=
P(X∈{1/k:k integer, k≥2})=
P(X≤1/2)=
Let X be a continuous random variable with a PDF of the form fX(x)={c(1−x),0,if x∈[0,1],otherwise. Find...
Let X be a continuous random variable with a PDF of the form
fX(x)={c(1−x),0,if x∈[0,1],otherwise.
Find the following values.
1. c=
2. P(X=1/2)=
3. P(X∈{1/k:k integer, k≥2})=
4. P(X≤1/2)=
Let X be a random variable with pdf given by fX(x) = Cx2(1−x)1(0 < x <...
Let X be a random variable with pdf given by fX(x) = Cx2(1−x)1(0
< x < 1), where C > 0 and 1(·) is the indicator
function.
(a) Find the value of the constant C such that fX is a valid
pdf.
(b) Find P(1/2 ≤ X < 1).
(c) Find P(X ≤ 1/2).
(d) Find P(X = 1/2).
(e) Find P(1 ≤ X ≤ 2).
(f) Find EX.
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0...
Let X be a continuous random variable with probability density
function (pdf) ?(?) = ??^3, 0 < ? < 2.
(a) Find the constant c.
(b) Find the cumulative distribution function (CDF) of X.
(c) Find P(X < 0.5), and P(X > 1.0).
(d) Find E(X), Var(X) and E(X5 ).
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
A continuous random variable X has pdf ?x(?) = (? + 1) ?^2, 0 ≤ ?...
A continuous random variable X has pdf ?x(?) = (? + 1) ?^2, 0 ≤
? ≤ ? + 1, Where B is the
last digit of your registration number (e.g. for FA18-BEE-123,
B=3).
a) Find the value of a
b) Find cumulative distribution function (CDF) of X i.e. ??
(?).
c) Find the mean of X
d) Find variance of X.
1. Let X be a random variable with PDF f(x) = C*absolute value(x), -1 <= x...
1. Let X be a random variable with PDF f(x) = C*absolute
value(x), -1 <= x <= 1
A. Find the constant and plot the PDFof X. Identify P(X >
0.5) in the plot.
B. Determine and plot the CDF of X. Identify P(X > 0.5) in
the plot.
C. Compute E(X^2 + X + 1).
Let X be a continuous random variable rv distributed via the pdf f(x) =4e^(-4x) on the...
Let
X be a continuous random variable rv distributed via the pdf f(x)
=4e^(-4x) on the interval [0, infinity].
a) compute the cdf of X
b) compute E(X)
c) compute E(-2X)
d) compute E(X^2)
A random variable X has the pdf given by fx(x) = cx^-3, x .> 2 with...
A random variable X has the pdf given by fx(x) = cx^-3, x .>
2 with a constant c. Find
a) the value of c
b) the probability P(3<X<5)
c) the mean E(X)
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 26 seconds ago
asked 24 minutes ago
asked 24 minutes ago
asked 31 minutes ago
asked 31 minutes ago
asked 32 minutes ago
asked 35 minutes ago
asked 39 minutes ago
asked 46 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago