For a liability coverage, you are given:
Losses for each insured follow an exponential distribution with mean (alpha)
(alpha)varies by insured.
(alpha)follows a single-parameter Pareto distribution with parameter= 1, with= 1000.
Calculate the probability that a loss will be less than 500.
(a) 0.2131(b) 0.3131(c) 0.4131(d) 0.5131(e) 0.6131
For a liability coverage, you are given: Losses for each insured follow an exponential distribution with...
2. The number of losses on an automobile comprehensive coverage has the following distribution: Number of losses Probability 0.3 0.4 0.2 0.1 2 Loss sizes follow a Pareto distribution with parameters a -5 and 0 1240 and are independent of loss counts and each other. Calculate the variance of aggregate losses.
2. The number of losses on an automobile comprehensive coverage has the following distribution: Number of losses Probability 0.3 0.4 0.2 0.1 2 Loss sizes follow a Pareto distribution...
Losses follow an exponential distribution with mean 1. Two independent losses are observed. Calculate the expected value of the smaller loss.
Problem 5 You are given: i) In 2009, losses follow a Pareto distribution with parameters θ--400 and α i) Inflation of 3.5% impacts all losses uniformly from 2009 to 2010. 2. Calculate the 75th percentile of the portion of the 2010 loss distribution above 500. (A) 639 (B) 641 (C) 1366 (D) 1400 (E) 1414
3. X is the random variable for claim sizes. Given A, X follow a single-parameter Pareto distribution with parameters θ 1000 and A. The distribution of A over the entire population is an exponential distribution with mean 3 Calculate Pr(X> 1500)
5. You are given that X1 and X2 follow an exponential distribution with mean 10 and 20, respectively. Both Tommy and Tony want to create a new distribution using X1 and X2 to model the waiting time (in mins), X, at a doctor's office. (i) Based on Tommy's Judgement: 80% of the chance, the waiting time follows a distribution as X1 and 20% of the chance, it follows the same distribution as X. (ii) Tony would like to use a...
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?
8. Losses in a certain business follow an exponential distribution with mean 90. Currently polcies of 15%. Using educes the have no modifications. Next year, the company is expecting uniform inflation only an ordinary deductible, define a policy using the following modifications that r expected value of the per-loss random variable to the pre-inflation level.
8. Losses in a certain business follow an exponential distribution with mean 90. Currently polcies of 15%. Using educes the have no modifications. Next year,...
The circled answer is wrong please show the work to arrive at a
correct answer please.
n insurance policy reimburses 100% for losses up to $100, less a deductible. In addition, the policy reimburses 50% of losses beyond $100. The deductible is $20 and losses follow an Exponential distribution with mean $80. Calculate the probability that the reimbursement for a loss is less than $100, given that (12) the reimbursement is greater than SO A) 0.202 B) 0.632 (C)0.736 D)...
4. Let X follow the exponential distribution for given θ > 0 and assume that θ follows the discrete distribution h(0);,1,1 for #2 1,2,3, respectively. (a) Find the posterior distribution of θ given X-z. (b) Find the Bayesian estimator of θ (based on minimizing the risk associated with the squared error loss) given X-r. (c) List your concrete results when
4. Let X follow the exponential distribution for given θ > 0 and assume that θ follows the discrete distribution...
Question 2:(15 pts In a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes. a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. e. Find the probability that a given request takes between 1 and 2.5 minutes to process.