The future lifetimes (in months) of two components of a machine have the following jointdensity function:(A)(B)(C)Determine which of the following represents the probability that both components arestill functioning 20 months from now.(D)(E)f(x,y)=125,0000,6125,0006125,0006125,00030 50-16125,0002050202030 50-x-y6-(50-x-y), 0

Answered: Image /qna-images/answer/669189d9-7789-4ab3-83ef-d706e0c1fcc6.jpg

Answered: The future lifetimes (in months) of two…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove a kilometers from home (along the road) is p(x) = 2e-2 for x ≥ 0 a. What is the probability that you dropped it within 1 kilometer of home? I b. At what distance y from home is the probability that you dropped it within y km of home equal to 0.95? km <-|
Consider times at which a parent provisions nestlings, that is, the time be- tween arrivals of a parent carrying food for the nestlings. Suppose that the waiting time between arrivals of a parent bird follows the exponential density function f (t) = 0.6e-0,61 for t z 0 and f (t) = 0 for t < 0, where the waiting times are in minutes. (a) What is the mean waiting time? (b) Find the probability that the wait will be between 2 and 5 minutes. (c) Find the probability that the wait will be at least 3 minutes.
A company uses wood chips in the manufacture of processed wood pieces of various sizes. Suppose the tons of wood chips T used per day has a probability density function f(T) = 0.25e-0.25T (a) Find the probability of using more than 4 tons of wood chips in a day. (Round your answer to three decimal places.) (b) Find the number of tons 7 (to the nearest ton) so that the probability of using more than 7 tons in a day is 0.07. tons
(6) The life in years of a certain type of electronic switch, X, has the following probability density function: f(x) = -=-e-2/², x > 0. (a) Find the value of the constant c. And compute the expected value of x. (b) Find the probability that a randomly selected switch will last more than 3 years. In other words, find P(X > 3). (c) Given that a switch has been working for 1 year already, find the probability that the switch will last more than 3 additional years. (d) If 5 of the new switches are installed in different independent systems, what is the probability that there will be 3 of these 5 switches fail during the first three years after the installation?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS