. A manufacturer uses three different suppliers for a particular component. In current inventory, there are 450 parts fromsupplier A, 350 from supplier B, and 200 from supplier C. The manufacturer found that 0.2\% of parts from supplier A isdefective; 0.51% of parts from supplier B is defective; 0.61% of parts from supplier C is defective. Let A, B, C denote theevents that the part came from supplier A, B, C, respectively.1 Based on the inventory mix, determine P(A), P(B), P(C).2. If one randomly selected part is defective, determine the probability that it came from supplier C.

First, we need to calculate the total number of parts in the inventory. This is the sum of the parts…

Answered: . A manufacturer uses three different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?
9. A law firm employs three types of lawyers: junior lawyers, senior lawyers, and partners. During a given year, there is a 0.1 probability that a junior lawyer will be promoted to senior lawyer and a 0.05 probability that he or she will leave the firm. Also, there is a 0.2 probability that a senior lawyer will be promoted to partner and a 0.15 probability that he or she will leave the firm. There is a 0.03 probability that a partner will leave the firm. The firm never demotes a lawyer. th Let Xn be the status of an employee at the n' year after he or she has been hired, it could be one of the three types of lawyers (junior, senior, or partner) or two types of leaving (either leaving as a partner or leaving as a non-partner). Let state 0-junior, state 1-senior, state 2=partner, state 3= leave as non-partner, state 4= leave as partner The (one-step) transition matrix is P = 0.85 0 0 0 0 0.1 0 0.05 0.65 0.2 0.15 0 0.97 0 0 1 0 0 0 0 0 0 0.03 0 1 (a) Use the fundamental matrix method,…
An insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consistsof drivers 22—33 years old, and Group C consists of drivers older than 33 years.Its portfolio consists of 10% Group A policyholders, 38% Group B policyholdersand 52% Group C policyholders.The probability of a claim in any 12 month period for a policy belonging to GroupA, B or C is 13%, 3% and 2%, respectively.(i) Calculate the probability that a randomly chosen policy holder from thisportfolio will make a claim during a 12 month period. One of the company’s policyholders has just made a claim(ii) Calculate the probability that the policy holder is younger than 22 years.
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
1). If three events, A, B, and C, are such that P(A) = 0.5, P(B) = 0.3, P(AUC) = 0.65 and P(An B)= 0.1, Find the following: a). P(A/B) b). P (AUB) c). For what value of P(C) are A and C independent?
4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation – e.g., P(A|B) =..) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service? d. What is the probability that a randomly selected home with a lawn service has a sprinkler system? e. What is the probability that a randomly selected home has a lawn service? f. What is the probability that a randomly selected home that does not have a lawn service has a sprinkler system?
A set of 345 college players (graduates and undergraduates) are interviewed by the NFL to play professional football, 240 players graduated from college, of these 190 studied a major in the humanities (history, philosophy, political science, etc.), a total of 95 players (graduates and non-graduates) studied a specialty in applied sciences (administration, engineering, accounting, etc.) of which 45 did not obtain a degree. The following events are defined: Event A -> Humanities Major Player Event A’ -> Player majoring in science Event B -> Graduated Player Event B’ -> Player not graduated Answer the following questions: What is the probability of interviewing a player with a major in the humanities? What is the probability of interviewing a graduate player with a major in the humanities? If a player majoring in the humanities is interviewed, what is the probability that the player has graduated? What is the probability of interviewing a graduated player? What to…
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

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