


You are given the following: 3 (1000 r 100) I. The annual loss amount random variable...
An insurance policy pays for a random loss X subject to a deductible of 550. The loss amount is modeled as a continuous random variable with density function 4500 for x > 500 f(x) = { otherwise Determine the expected payment made under this insurance policy.
You are given the following: i) X is a random variable representing size of loss. ii) Y = In X is a random variable having a normal distribution with a mean of 6.503 and standard deviation of 1.500. Determine the probability that X is greater than 1,000. Possible Answers A 0.360 B 0.372 C 0.376 "D 0.380 € 0.394 Help Me Start
Losses have a uniform distribution from 0 to 250. An insurance pays 100% of the amount of a loss in excess of an ordinary deductible of 23. The maximum payment is 210 per loss. Determine the expected payment, given that a payment has been made.
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# 1: Given R-134a at 100 psia, find Tsat, Y, Yg, and hf #2: Given water at 100 psia & T=1000°F, find u and s #3: Given R-134a at 100 kPa & T-50°C, find u and s #4 : Given water at 100 kPa, if u 1000 kJ/kg, find h (Hint: mixture) #5: Given water at 5 MPa & T-40°C, find u and h #6: Given R-134a at 1,0 MPa & T-40C, find h...
insurance paying I at the moment of 3. The expected present value of an meyear term death to (r) is 0.0572. You are giv (i) Aa.,-0.007, , > 0. δ-0.05 (ii) Determine n 4. You are given: (i) Ar =0.4275 (ii) δ= 0.055 (İİİ) Ar.,-0.045 for all Calculate A r치
insurance paying I at the moment of 3. The expected present value of an meyear term death to (r) is 0.0572. You are giv (i) Aa.,-0.007, , > 0. δ-0.05...
Additional Problem A: The CDF of random variable X is given by: I< -3 -3 < z< -2 Fx(r) = -2 <I< 2 a) Find the possible range of values that the random variable can take. b) Find E(X) = 4x, the expec ted value. c) Find P(X > 1). d) Find P(X > 1|X > -2).
(e) A continuous random variable X has the probability density function given by: f(x) = ( 2x/√ k for 0 ≤ x ≤ 2 0 otherwise. i. Show that the constant k equals 16. ii. Find the expected value of X. iii. Find the variance of X. iv. Derive the cumulative distribution function, F(x). v. Calculate P(X < 1 | X < 1.5)
A prescription drug plan provides that the insured has the following annual payment re- sponsibilities: (i) All costs up to a deductible of 250. (ii) 25% of costs between 250 and 2250. (iii) All costs above 2250 until the total insured's payment reaches 3600. (iv) 5% of all remaining costs. The plan's costs are modeled by a Pareto distribution with a 2 and 0- 2000. Find the expected annual payment made by the plan.
A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function (x)-Ida-92-r) ; otherwise (i)Determine the value of c (ii) Obtain cumulative distribution function. iii) Find P(X 1.2)
A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function (x)-Ida-92-r) ; otherwise (i)Determine the value of c (ii) Obtain cumulative distribution function. iii) Find P(X 1.2)