Shocks occur according to a poisson process with rate, Ask an Expert

Statistics

Shocks occur according to a Poisson process with rate λ, and each shock independently causes a certain system to fail with probability p. Let T denote the time at which the system fails and let N denote the number of shocks that it takes.

(a) Find the conditional distribution of T given that N = n.

(b) Calculate the conditional distribution of N, given that T = t, and notice that it is distributed as 1 plus a Poisson random variable with mean λ(1 - p)t.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91721563

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

There are twenty stores for a grocery chain in the

There are twenty stores for a grocery chain in the Mid-Atlantic region. The regional executive wants to visit five of the twenty stores. She asks her assistant to choose five stores and arrange the visit schedule. (Pleas ...

The following is data a veterinarian collected from some of

The following is data a veterinarian collected from some of her clients. It is a rough estimate % of dogs weight and how long the dog lived estimate of dog's weight(xi) life span(yi) 20 ...

A pawnshop will lend 4750 for 45 days at a cost of 35

A pawnshop will lend $4,750 for 45 days at a cost of $35 interest. What is the effective rate of interest? (Use a 360-day year. Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal ...

A study showed that in 1990 47 of all those involved in a

A study showed that in? 1990, 47?% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat? belts,44?% were injured and 27?% were killed. For those not wearing seat? belts, the ...

Using chebysheffs theorm you have concluded that at least

Using Chebysheff's theorm, you have concluded that at least 77.66% of the 3,075 runners took between 60.5 and 87.5 minutes to complete the 10km race. What was the standard deviation of these 3,075 runners?

The mean throwing distance of a football for a luis a high

The mean throwing distance of a football for a Luis, a high school freshman quarterback, is 50 yards, with a standard deviation of three yards. The team coach tells Luis to adjust his grip to get more distance. The coach ...

Kurt simmons has 7013020 auto insurance coverage one

Kurt Simmons has 70/130/20 auto insurance coverage. One evening, he lost control of his vehicle, hitting a parked car and damaging a storefront along the street. Damage to the parked car was $7,300, and damage to the sto ...

A company that supplies batteries for watches guarantees

A company that supplies batteries for watches guarantees that 95% of the batteries it ships will be free from defects. You test a sample of 50 batteries you received. You find that fewer than 10 have defects. Does this l ...

A tire company measures the tread on newly-produced tires

A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire wi ...

Which level of risk considers sources of danger or

Which level of risk considers sources of danger or uncertainties that have a direct and model-wide impact?

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert