Question

Ukted Odwolanis Korespondenga RecencaWidok Pomoc P Powiedz mi co chcesz zrobi Fuedamentals of Quantitative Methods Part IV (Exercises from Business Sharistics: Sharpe, De Veaux, Velleman) 1. You and your friend decide to get your ears inspected. You are informed that 79% of cars pass inspection. If the event of your car's passing is indepeodent of your frieed's cr a) What is the probability that your car passes inspection? b) What is the probability that your car doesn't pass inspection? c) What is the probabelity that both of the cars pass? d) What is the probability thst a least one of the two cars passes Quality control. A tire manufacturer recently announced a recall because 2% of its tires are defective. If you just bought a new set of four tires from this manufactarer, what is the probability that at least ooe of your new tires is defective? 2. Pepsi promotion. For a sales promotion, the manufacturer places witing symbols under the caps of 10% of all Pepsi bottles. If you buy a sjx-pack of Pepsi, what is the probability that you win soanething? 3. 4. Auto warrasty, In developing their warracty policy, an atomobile coumpany estimates that over a I-yesr period 17% of their tiew cars will meed to be repaired once. 7% will need repairs trice, and 4% will require three or more repairs If you bry s new car from them, what is the probability that your car will need a) No repairs? bi No more than oue repair? c) Some repaies If you boughr two new cars, what is the probability that: a) Neither will need repair? b) Both will need repair? e) At least one car will weed repair? 5. Consulting team You work for a large global management cousulting compazy. Of the entire work force 55% lave had no experience in the teleconumunicatious industry, 32% lave had limited of analysts, experience (less than 5 years), and the rest have had extensive experience (5 years or more). On a receut project. you an the peoject involves twlecommicaticns. What is the probability that the first teanumate you meet has a) Extensive telecomenunications experience? by Some telecommnications experience?c) No move th lamited teleconmunications experience? What is the probability that of your other two tenm mates a) Neitber has any telecomzonications experience? bi Both have some telecomusosications experience c) At least one lhas bad estensive telecoamunications experience? d two other analysts were cbosen at raudom to coustitute a team. It tonss out that part of

Answer 1

1. A) as the probability of cars being passing inspected is independent, the probability of my car passing inspection = 0.75 * 0.75 + 0.75 * 0.25 = 0.75

B) probability of my car not passing inspection = 1-0.75 = 0.25

C) probability that both cars pass = 0.75*0.75 = 0.5625

D) probability atleast one car passes = 0.75*0.75 + 0.75*0.25 + 0.25*0.75 = 0.9375

2) probability atleast one of them is defective = 1- probability none is defective = 1-0.98^4 = 0.0776394