In a certain factory, machines I, II, and III are all producing springs of the sameQ.2.length. Machines I, II, and III produce 3%, 2%, and 5% defective springs, respectively. Of thetotal production of springs in the factory, Machine I produces 30%, Machine II produces 25%, andMachine III produces 45%. If one spring is selected at random from the total springs produced ina given day, determine the probability that it is defective.

Answered: Image /qna-images/answer/f2c0fe92-ff99-4665-9a37-60cb452163d2.jpg

Answered: In a certain factory, machines I, II,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Using 2 independent DRVS X and Y with probability distribution px(x) and py (y) below, find E(Z) where Z = X + Y X 1 2 3 4 Px(x) 1/8 3/16 3/8 3/16 1/8 Y 3 4 5 Py(y) 1/4 1/4 1/4 1/4
A system consists of four components with A, B in series and C, D in parallel connected as shown below in the following diagram. Given that the system above with components in the order A, B, C, and D, from top to down function independently. If the probability that the component A, B, C, and D fail is 0.10,0.05,0.10, and 0.20 respectively. Estimate the probability that the system functions?
A study of the incoming freshman class at a university found that 60% of the students had taken AP Calculus in high school, 55% had taken AP English in high school, and 20% had taken both AP Calculus and AP English. One incoming freshman is randomly selected from the population of incoming freshman. Let: C = the selected student took AP Calculus E = the selected student took AP English What is the probability that the selected incoming freshman took AP English or AP Calculus, i.e. P( C or E)? 0.15 O 0.75 0.80 0.05 0.95
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
A randomly selected car owner in New York might be having a Japanese made car, where the probability of this event is 0.4. The same person might be having an American made car, where the probability of this event is 0.2. The probability that the same person is having cars of both origins is 0.1. Find the probability that the diver is New York has the car of Japensese origin, but not the American origin.
A class in advanced physics is comprised of 20 juniors, 30 seniors and 10 graduate students. The final grades showed that 5 of the juniors, 12 of the seniors, and 6 of the graduate students received an A for the course. If a student from this class is selected and is found to have earned an A, what is the probability that he or she is a junior? Ans is Blank 1 (round off your final answer into four decimal places. #.####)
1. In a red zone area from covid, it is known that there are 3 people who become Covid-19 Asymptomatic Persons (AP) out of every 8 people present. An officer randomly selects 3 people to be swab tested. If X is a variable that represents the number of peoplewho became AP,a. Find the number of possible x values of the variable X, and calculate the probability of each x value.b. Determine what is the probability that the officer will get at least 1 person who becomes the AP.
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
Consider an M/M/1 queuing system with mean inter arrival time of 4 minutes. The average service time for each customer is 3 minutes. The probability that there are 3 arrivals in the system is closest to O a. None of these O b. 0.105 Oc. 0.895 O d. 0.422
..
According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. a. State the values of n and p for this binomial experiment. b. Find the probability that exactly 156 in the sample have been fully vaccinated. Round to 4 decimal places.
A system consists of four components connected as shown below in the following diagram.Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system functions?b) A process manufactures ball bearing whose diameters are normally distributed with mean 2.505?? and standard deviation 0.008??. Specifications call for the diameter to be in the interval 2.5 ± 0.01 cm. what proportion of the ball bearings will meet the specification

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS