Question
please answer the question number 1
1. (5 points) A roulette wheel cousists of 18 black slots, 18 red skots, and 2 preen slots. If a gambler bets $10 on red, what is the gambler's expected gain ot loss 2. (6 points) Suppose an insurance company pays the amount of sl,000 for ket luggage on an airplane trip. From past experience, it is known that the company pays this amount in 1 out of 200 policies it sens. What premium should the company charge to break even on average? 3. (10 points) The number of ligdut switch mrnoos st which the first filure occurs YB 8 tandom variable X whose probability distributiou is given by 1,2 Determine the constant (b) calculate the probability that the first failane will not occur until the 10th twm- 4. (5 points) The number of particles emitted by a radionctive soaree in an hour has B Paissom distribution with parameter A 20. Find the probability thust exactly one particle is emitted in a period of 2 minutes. 5. (12 points) Suppose that a fair die is rolled vimos, Lei X. be the valve obtained on the ith roll. (a) What is POSitto 100) (b) What is P x, 101) (c) what is EMC 6. (12 points) Give an example of two discrete tandon variabes, X and Y, with the same set of possible values, such that Var(X +Y) Var X) Varn Show all relevant computations.
Explanation / Answer
Expected lose = 10 (18/38) - 10 (18/38) - 10 (2/38) = -10/19 = - $0.526.
Thanks.
