P(X+Y<=1)=f(x,y) dx dy = (1/8)*(x+y) dx dy = (1/8)*(x2/2+xy|1-y0 dy
=(1/8)*((1-y)2/2+y-y2) dy=(1/8)*((1-y)3/3+y2/2-y3/3)|10 =(1/8)*(-1/3+1/2-1/3)=1/24
option A is correct
The circled answer is wrong, please show steps to arrive at a correct answer. (17) Assume...
The circled answer is wrong Just show steps to arrive at a correct answer please. (19) Assume Xi and X2 are independent random variables with a common proba- bility density function: f(x) 0<x<5 , Determine the cumulative distribution fun G(s), where Y = max(X1, X2) 1 5
The circled answer is wrong, show steps to arrive at a correct answer please. 9) Assume that the number of hurricanes during a given year follows a Negative Binomial distribution where r-4 and p-31%. Investor A and Investor B have entered an agreement where Investor A will pay Investor B $1,000,000 in the event that a hurricane does not occur. Given the probability density function for a Negative Binomial is P(X = n) = (n+r-1 calculate the expected payment that...
the circled answers are wrong can show a good work on those two problems to arrive at correct answers please, will rate more points. (13) Th e probability density function of the loss X is /r(x) = { 0.02 (1-100), 0<x <100 100 0< otherwise The amount paid Y is 70 percent of that portion of the loss that e xceeds a deductible of 20. Determine E(Y). A)12 B)15 C)21。23 E) 25 (14) You are given that X is a...
The circled answer is wrong please show steps to arrive at a correct answer. Company ABg offers hurricane insurance to homeowners in Texas. Assume that the premium collected for hurricane insurance can be modeled by an Ex- ponential distribution with a mean of 3. Suppose that the hurricane losses can be modeled by an Exponential distribution with a mean of 1. If the premium collected and hurricane losses are independent, what is the probability that the ratio of losses to...
The circled answer is wrong please show all work to arrive at a correct answer (23) Let X and Y represent the number of hours that a person spends cooking and doing the dishes, respectively, during a 30-day period. Assume that during a 30 -day period, the ex pected number of hours that a person spends in cooking is 20, with a variance of 40. Also assume that during a 30-day period, the expected number of hours that a person...
Is a joint density function? If yes, assume it is the joint density function of r.v.s X and Y , and compute the marginal densities of X and Y . f(r,y) = { " 0 <y<<11 , otherwise
Assume that the joint density function of X and Y is given by f (x, y) = 4,0 < x < 2,0 < y = 2 and f (x, y) = 0 elsewhere. (a) Find P (X < 1, Y > 1). (b) Find the joint cumulative distribution function F(x, y) of the two random variables. Include all the regions. (c) Find P (X<Y). (d) Explain how the value of P (1 < X < 2,1 < Y < 2)...
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)...
The circled answer is wrong, please show clear steps to arrive to a correct answer I will rate more points. 2) You are given the following information about an insurer's book of business: . Policyholders are divided in three groups: low-risk, medium-risk, and of policyholders are considered medium-risk and 50% are considered high-risk. low-risk. . The probability that a low-risk policyholder has filed a claim is 0.05 .The probability that a randomly selected policyholder is considered medium- risk and has...
The circled answer is wrong show clear work to arrive at a correct answer please. 22) Assume that losses fro m policyholders A, B, and C are independent and Expo- unt for policyholders A, B a d C oss d 700, respectively. What is the probability that the maximum is 200, 450, an loss from the three policyholders will exceed 900? A) 0.001 B) 0.381 C) 0.450 (D0.619 E) 1.000