## He horn of an auto operates on demand 99% of the time. Assume each time you hit the horn, it works or fails in?

### He horn of an auto operates on demand 99% of the time. Assume each time you hit the horn, it works or fails in?

The horn of an auto operates on demand 99% of the time. Assume each time you hit the horn, it works or fails independently of all other times.(a) How many times do you expect to be able to honk the horn with 75% probability of not having any failures.(b) What is the expected number of times you hit the horn before the tenth failure?

**тн**

Show that if T has the Weibull (¦E, ¦A) distribution with the following density: f (t) = ¦E¦At¦A1 e¦Et¦A(t > 0),where ¦E > 0 and ¦A > 0 then T ¦A has an exponential ¦E distribution. [b (10 points)]. Show that if U is uniform (0, 1) random variable then T = (¦E1 log U )1/¦A has a Weibull (¦E, ¦A) distribution. 3. Let Y be the minimum of 4 independent random variableswith uniform distribution on (0, 1) and let Z be their maximum. Find: [a (10 points)]. P (Z?U 3/4|Y ?Y 1/4). [b (10 points)]. P (Z ?U 3/4|Y?U 1/4). 4. Insurance claims arrive at an insurance company according to a Poisson process with rate ¦E. The amount of each claim has an exponential distribution with rate independently of times and amounts of all other claims. Let Xt denote the accumulated total of claims between time 0 and time t. Find simple formulae for [a (3 points)]. E(Xt ). 2 [b (5 points)]. E(Xt ). [c (5 points)]. SD(Xt ). [d (7 points)]. Corr(Xt , XS ) fort < s. 5. Let X1 , X2 , X3 , X4 be independent random variables with distribution Exp(¦E). Let Xmin denote the minimum of the X??s andXmax denote the maximum. [a (10 points)]. For a a, Xmax < b). [b (10 points)]. What is the joint density of Xmin andXmax ? 6. Let X and Y be the scores of the midterm and nal exams. Suppose that E[X] = 60 and E[Y ] = 70 and that all scores are between 0 and 100. [a (8 points)]. How can you upper bound P [X ?U 40, Y ?Y 90]? Is your bound optimal? [b (8 points)]. Suppose that in addition you are also given that (X, Y ) is bivariate normal with ¦N = 0.9 and SD(X) = SD(Y ) = 10. Find E[X|Y ?Y 90] and bound usingMarkov inequality P [X ?U 40|Y ?Y 90]. [c (6 points)]. Use the previous bound to obtain anupper bound on P [X ?U 40, Y ?Y 90] when (X, Y ) is bivariate normal with ¦N = 0.9 and SD(X)= SD(Y ) = 10.

**Where to Get Free Auto Insurance Quotes online?**

Never do on line quotes. They are not accurate. And, often a live knowledgable insurance agent will get you discounts that are not online that you may qualify for. It does not cost extra to speak to a live person.Call some local insurance agents for some quotes. Stick to the big companies...

**How do I change my Ontario G license into an equivalent Alberta one?**

If you are going to be in Alberta for less than 3 months then you do not have to change your drivers license or vehicle plates or insurance over to Alberta. I doubt any company would ask you to change your drivers license over as your Ontario license is good anywhere in Canada. I live in...

**I just passed my uk driving test?**

HOW TO BUY A CARGo onto the Auto Trader website or Piston Heads classified website to look for a car that you want. All you have to do is type in your post code, your budget, what car you want, and how far you are willing to travel to view the car. After you find the car you really like and...

**What is the sheapest driving school in cincinnati, oh?**

I'm not certain that any of them can teach a sheep to drive.Bick's Driving School of Eastern Cincinnati, Inc.Bick’s Driving School of Eastern Cincinnati, Inc. is owned by George and Garry Theodore. George Theodore Has a degree from the University of Cincinnati in ...www.bicksdrive.com/ - 7k...

**Who do you have Auto Insurance with?**

Try Allstate, they do not surcharge for minor violations (speeding tickets) at all in the state I live (TX).Source(s):Myself, I work for them