Question

The hazard function of a system is given by: h(?) = ? ∗ ? , ?...

The hazard function of a system is given by:
h(?) = ? ∗ ? , ? > 0 , ? ≥ 0
Find the expressions of probability density function, median time to failure, and mode
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The hazard rate is 0 at time 0 and linearly increases ?(? > 0) as time...
The hazard rate is 0 at time 0 and linearly increases ?(? > 0) as time increases 2 units. Find the following quantities: a) The survival function. b) The probability density function. c) The median of survival time. d) The mean residual time formula at time 2 . e) Describe the shape of hazard function and probability density function.
3. Suppose that h(x) is the hazard function of X, and h(x)= λ for all x....
3. Suppose that h(x) is the hazard function of X, and h(x)= λ for all x. (a) Calculate the survival function S(x). (b) Derive the mean life E(X) and the mean residual life E(X-x|X>x), where E(X) is a special case of mean residual life with x=0. (c) Based on your answer in (b), do you think h(x) can be used to model human lifespan?
Consider a system with reliability function: R(t) = 1/ (0.2t+1)̂²     for t>0 (t in months) What...
Consider a system with reliability function: R(t) = 1/ (0.2t+1)̂²     for t>0 (t in months) What is the probability density function ? What is the failure rate? What is the MTTF?
For an LTI system h[n], the output is given by y[n] = 2δ[n-1], given that x[n]...
For an LTI system h[n], the output is given by y[n] = 2δ[n-1], given that x[n] = δ[n]-2δ[n-1]+ 2δ[n-2]. a) Find the transfer function H(z) (7 Points). b) Find the difference equation of the overall system (8 Points). c) Given that the system is causal find h[n] (10 Points). d) Given that the system does not have Fourier Transform, find h[n] (10 Points).
The concept of the median of a set of data can also be applied to the...
The concept of the median of a set of data can also be applied to the probability distribution of a random variable. If x is a random variable with density function f (x), then the median of this distribution is defined to be the value  for which half the area under the density curve lies to the left of . That is, is the solution to the equation  . Suppose the lifetime x of an electronic assembly follows an exponential distribution with...
a) The joint probability density function of the random variables X, Y is given as f(x,y)...
a) The joint probability density function of the random variables X, Y is given as f(x,y) = 8xy    if  0≤y≤x≤1 , and 0 elsewhere. Find the marginal probability density functions. b) Find the expected values EX and EY for the density function above c) find Cov  X,Y .
Problem 4 The joint probability density function of the random variables X, Y is given as...
Problem 4 The joint probability density function of the random variables X, Y is given as f(x,y)=8xy if 0 ≤ y ≤ x ≤ 1, and 0 elsewhere. Find the marginal probability density functions. Problem 5 Find the expected values E (X) and E (Y) for the density function given in Problem 4. Problem 7. Using information from problems 4 and 5, find Cov(X,Y).
Let X be a random variable with probability density function given by f(x) = 2(1 −...
Let X be a random variable with probability density function given by f(x) = 2(1 − x), 0 ≤ x ≤ 1,   0, elsewhere. (a) Find the density function of Y = 1 − 2X, and find E[Y ] and Var[Y ] by using the derived density function. (b) Find E[Y ] and Var[Y ] by the properties of the expectation and the varianc
2. Show that each given function is a probability density function and find the indicated probabilities:•...
2. Show that each given function is a probability density function and find the indicated probabilities:• Let f(x) =1/4(1+x)^−5/4 in [0,∞); find P(0≤X≤2), P(1≤X≤3) and P(X≥5)
Compound probability density function of random variables x and ? ??, ? (?, ?) = {...
Compound probability density function of random variables x and ? ??, ? (?, ?) = { 6/7 (?*2 + ??/2), 0 <? <2, 0 <? <1 (? ,  other It is given as. According to this (a) Show that this function is a probability density function. (b) Find the marginal probability density function of ?. (c) Calculate the probability ? {?> ?}. (d) Find the expected value of ? [?].
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT