Question

3.9 Suppose r.v. X has the exponential pdf f(x) = A exp[-. x], for x >...

3.9 Suppose r.v. X has the exponential pdf f(x) = A exp[-. x], for x > 0. and f(x) = 0. for x ? 0.

Find Pr(x > a + b l x > a) given a, b > 0.

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
Suppose that X is an exponential random variable with pdf f(x) = e^(-x),0<x<∞, and zero otherwise....
Suppose that X is an exponential random variable with pdf f(x) = e^(-x),0<x<∞, and zero otherwise. a. compute the exact probability that X takes on a value more than two standard deviations away from its mean. b. use chebychev's inequality to find a bound on this probability
Suppose a r.v. X has pdf fX (x), cdf FX (x), and mgf MX (t). Which...
Suppose a r.v. X has pdf fX (x), cdf FX (x), and mgf MX (t). Which of these three functions would you use to compute the median value of this distribution? Explain why, and write one equation that you could use/solve to find the median.
A continuous r.v. X follows the pdf: ?(?) = 2? 3 when 1 ≤ ? ≤...
A continuous r.v. X follows the pdf: ?(?) = 2? 3 when 1 ≤ ? ≤ 2. (a) Find the cdf of X for 1 ≤ ? ≤ 2. (b) Find the mean and variance of X. (c) Find P(X = 1.22)
4. Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β))...
4. Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0, ∞)(x), B > 0 where β is an unknown parameter. Find the UMVUE of β2.
Suppose the random variable X has pdf f(x;?, ?)=??x?−1e−?x? for x≥0;?, ? > 0. a) Find...
Suppose the random variable X has pdf f(x;?, ?)=??x?−1e−?x? for x≥0;?, ? > 0. a) Find the maximum likelihood estimator for ?, assuming that ? is known. b) Suppose ? and ? are both unknown. Write down the equations that would be solved simultaneously to find the maximum likelihood estimators of ? and ?.
The r.v. X has the probability density function f (x) = ax + bx2 if 0...
The r.v. X has the probability density function f (x) = ax + bx2 if 0 < x < 1 and zero otherwise. If E[X] = 0.6, find (a) P[X < 21] and (b) Var(X). (Answers should be in numerical values and not be as expressions in a and b.)
Suppose that the pdf for X is f ( x ) = 3 8 x 2...
Suppose that the pdf for X is f ( x ) = 3 8 x 2 , 0 ≤ x ≤ 2, f(x) = 0 otherwise. Suppose that Y is uniformly distributed on the interval from x to 2x for any given x.    Determine P(Y < 2)
Suppose a random sample of size n was drawn from a distribution with pdf f(y,a)=(1/a )...
Suppose a random sample of size n was drawn from a distribution with pdf f(y,a)=(1/a ) exp(-y/a) where y is between y>0 and a>0. Write down the central limit theorem for the standardized sample mean in terms of a and find a formula for a 95% confidence interval ..(hint: this is the exponential distribution with mean a)
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0,...
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0, ∞)(x), B > 0 where β is an unknown parameter. Find the UMVUE of β^2.
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT