Car repairs: Let E be the event that a new car requires engine work under warranty...
Car repairs: Let E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose thatP(E)= 0.06, P(T) = 0.09, P(E and T) -0.02. Part 1 out of 2 Find the probability that the car needs work on either the engine, the transmission, or both. The probability that the car needs work on either the engine, the transmission, or both is CHECK NEXT
Suppose that past records indicate that the probability that a new car will need a warranty repair in the first 90 days of use is 0.04. If a random sample of 400 new cars is selected, what is the probability that the proportion of new cars needing a warranty repair in the first 90 days will be: a. between 0.05 and 0.06? i.e. P(0.05 sp < 0.06) = ranswer to 4 decimal places). b. above 0.07? i.e. Plp > 0.07)...
obability of new car requires repairs during wayranty of Burs is 0.12 The dealer sells 25 cars. Let e be the number that will require repairs during warranty period find the mean I standard deviation of x.
A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = 0.6 and P(B) = 0.04. What is P(B | A)? (Round your answer to four decimal places.)
3. A car manufacturer offers a 5yr/Unlimited km warranty on one of its models. Historically, 8% of cars sold will require repairs under the terms of this warranty. Suppose a dealer sells 190 cars of that model and let X be the number of those cars that will require service under the terms of the warranty. (a) A suitable probability model for X is a binomial distribution. What are the parameters of the binomial model in this case. Justify the...
A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. x2 0 1 2 3 x1 0 0.09 0.07 0.04 0.00 1 0.05 0.15 ...
3. A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X and X, is as given in the accompanying table. 0 0.08 0.06 0.05 0 0 1 0.07 0.15 0.04 0.03 0.01 2...
Do part c 6 pts) Let E,be the event that the firstfwo coins are both heads and Ea be the event that the third coin is different from the second coin. t a. What is the P(E) and P(E2) kgoth@어 I:,-5 PCEz) : 7 Л b. Find P(EJEJ Are these events independent? Show your work. c.
Twenty percent (20%) of a certain type of cell phones are returned for repairs while under warranty. (i) If a company purchases ten of these cell phones for their employees, what is the probability that exactly two of them will need repairs while under warranty? [6 marks] (ii) Of the 10 cell phones purchased by the company, how many would you expect to be returned for repairs while under warranty? [1 mark] (iii) Suppose five hundred (500) cell phones were...
Let V be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) = 0.15, P(W) = 0.05, and P(V and W) = 0.03. Round the following answers to two decimal places. a. What is the probability that the computer contains either a virus, a worm, or both? b. What is the probability that the computer does not contain a virus?