1. The time to failure of an AC compressor is a random variable T, with the following pdf. 200 f(t) = (10 + 1)3 (a) Find R(t). (b) Determine the reliability for the first year of operation. (c) Find the probability of failure occurring in the interval of time (15,20]. (d) Find the design life if a religbility of 0.99 is desired.

1. The time to failure of an AC compressor is a random variable T, with the following pdf. 200 f(t) = (10 + 1)3 (a) Find R(t). (b) Determine the reliability for the first year of operation. (c) Find the probability of failure occurring in the interval of time (15,20]. (d) Find the design life if a religbility of 0.99 is desired.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Solve it early I upvote
TF.8
With an American penny, the likelihood of getting H when it is spun on edge is 0.3. If X is the random variable where X(H ) = 1, X(T ) = −1, find the expected value E(X), the variance, Var(X), and express X in its standard form.
A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in years is given by f(y) = -10 ye 10 100 0
Please i needs these two. Help me
X 1:YY KB/S robability & Statistics Time left 1:12:20 For the probability distribution in the table. What is the probability of 1 or 5 P(x) 1 0. 2 2 0. 15 3 0.1 4 0. 15 5 a. 0. 52 b. Correct answer is not listed с. .4 d. 0. 08 е. О. 6
Suppose the random variable X has the following PDF: 2 √2π This distribution is often called half-normal. Find E(X) and V(X). f(x) = , for x > 0.
In the daily production of a certain kind of rope, the number of defects per foot given by Y is assumed to have a Poisson distribution with mean λ = 3. The profit per foot when the rope is sold is given by X, where X = 60 - 4Y - y². Find the expected profit per foot. $ per foot
Please help. I am trying to review for a test and these practice problems are stumping me. Please no code just math :)
Question 3: Let the random variable X'be the amount of error in a recently calibrated machine. Suppose X'has pdf f(x) = 0.75(1-x²) -1≤x≤1 a) What is the probability that the error is between — and ½? b) Find the expected amount of error.
Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 45, and (iii) |X – 30l > 5.