Reference no: EM131130677
A system is composed of two components that operate at alternate times. When component f, for i = 1,2, starts to operate, it is active during Xi days, where Xi is an exponential random variable with parameter 
and is independent of what happened previously. The state of the components is checked only at the beginning of each day. If we notice that component I is down, then we set the other component going, and component i will be repaired (in less than one day).
(a) Let Ni be the number of consecutive days during which component I is responsible for the functioning of the system, for i = 1,2. What is the probability distribution of 
?
(b) Suppose that the two components are identical. That is, λ1 = λ2 := λ. At what rate do the components relieve each other (over a long period)?
(c) If λ1 = 1/10 and λ2 = 1/12, what proportion of time, when we consider a long period, is component 1 responsible for the functioning of the system?
|
What can be gained through analyzing film
: How has this changed the way you view movies - How are you able to use film theory and criticism to find and interpret meaning in movies?
|
|
Draw a rune line depicting all of the cash flows associated
: Draw a rune line depicting all of the cash flows associated with Sunrise's view of the retirement annuity. How large a sum must Sunrise accumulate by the end of year 12 to provide the 20-year, $42,000 annuity?
|
|
What issues could arise when a panicked public believes
: What issues could arise when a panicked public believes it has been exposed, or has been exposed, to an element that may require decontamination?
|
|
Security returns-calculate the standard deviations
: Security Returns If State Occurs State of Economy Probability of State of Economy Roll Ross Bust .20 –18 % 21 % Boom .80 18 6 Calculate the standard deviations for Roll and Ross by filling in the following table (verify your answer using returns expr..
|
|
Composed of two components that operate at alternate times
: (a) Let Ni be the number of consecutive days during which component I is responsible for the functioning of the system, for i = 1,2. What is the probability distribution of ?
|
|
A woman makes long-distance calls with the help
: A woman makes long-distance calls with the help of her cell phone according to a Poisson process with rate λ. Suppose that for each long-distance call billed, the next call is free and that we fix the origin at the moment when a call has just been..
|
|
Government requirements imposed on public corporation
: What are some of the government requirements imposed on a public corporation that are not imposed on a private, closely held corporation? Discuss pros and cons of each.
|
|
Prepare the journal entry to record the payment of interest
: Prepare the journal entry to record the payment of interest and the amortization of the discount on July 1, 2011, assuming that interest was not accrued on June 30.
|
|
Make calculations in cost estimates has the advantage
: Using BY$ to make calculations in cost estimates has the advantage that ______
|