The failures of a certain device occur according to a, Ask an Expert

Statistics

The failures of a certain device occur according to a nonhomogeneous Poisson process whose intensity function λ(t) is given by

where t is the age (in years) of the device.

(a) Calculate the probability that a five-year-old device will have exactly two failures over the next 10 years.

(b) Knowing that the device had exactly one failure in the course of the first 5 years of the 10 years considered in (a), what is the probability that this failure took place during its sixth year of use?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91887257

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Phillips owns 25 of mintor inc a private company in 2007

Phillips owns 25 % of Mintor, Inc. (a private company). In 2007, Mintor had sales of $22,00,000, had net income of $82,000 and Mintor paid $32,000 in dividends. If Phillips uses the Equity Income method, what did Phillip ...

Discrete probability variablesthirtynbsppercent of

Discrete probability variables. Thirty percent of households say they would feel secure if they had? $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had? $50,000 in sav ...

European bonds pay coupons annually while us bonds pay

European bonds pay coupons annually, while U.S. bonds pay coupons semiannually. If the coupon rate on a European bond is 12% (annual coupons), what is the comparable coupon rate for a U.S. bond (semiannual coupons) assum ...

Assume that showing a car is a bernoulli trial and each

Assume that showing a car is a Bernoulli trial, and each time she shows a car, there is a probability of 0.15 that the customer will buy the car. The saleswoman has a goal of selling at least one car a week. 1) How many ...

A manufacturing company wishes to compare two production

A manufacturing company wishes to compare two production facilities based on Defective units out of total unit production. The company obtains random samples from both facilities. Facility A produced a total of 983 units ...

Seedlings come in packages of 10 and consist of the

Seedlings come in packages of 10 and consist of the following: 2 Douglas-fir, 3 spruce, and 5 pines. In any given package, how many ways can the 10 seedlings be arranged if seedlings that are the same species cannot be d ...

Consider a binomial probability distribution with p03

Consider a binomial probability distribution with p=0.3. Complete parts a through c below. a. Determine the probability of exactly four successes when n=5 P(4)=

Given the following partial relative frequency

Given the following partial relative frequency table Republican Democrat Independent Male 0.174 0.124 0.178 Female 0.126 0.106 ? Compute P(Republican | Male), and enter your answer with 3 decimal places. show working ple ...

Doctor wants the estimate the hdl cholesterol of all 20 to

Doctor wants the estimate the HDL cholesterol of all 20 to 29 year old females. How many subjects are needed to estimate the HDL cholesterol within 3 points with 99% confidence assuming o=18.2? Suppose the doctor would b ...

Two fair dice are rolled and the sum of the points is noted

Two fair dice are rolled and the sum of the points is noted. Find the probability that the sum is 6 given that at least one of the numbers is less than 3.

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