Example 6: In a bolt factory machines A, B, C manufacture 20%, 30% and 50% of thetotal of their output and 6%, 3% and 2% are defective. A bolt is drawn at random and found tobe defective. Find the probabilities that it is manufactured from (i) Machine A.(ii) Machine B(iii) Machine C.

Let PA, PB and PC be the probabilities of the bolt manufactured in machine A, B and C respectively.…

Answered: Example 6: In a bolt factory machines…

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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part ii
Derek has a bag of marbles with 5 Blue marbles, 1 White marbles, and 1 Red marbles.Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.(a) A Blue, then a Red = (b) A Red, then a White = (c) A Blue, then a Blue, then a Blue =
ش2 )314 CME( الاحتمالات والعمليات العشوائية في A system is made up of three components that operate independently from one another. For the system to function (work), at least two of its components must function. Suppose that the probability that component no. 1 functions equals to 0.95, component no. 2 functions equals to 0.9, and component no. 3 functions equals to 0.8. Given that the system functions, what is the probability that exactly two components function? of stion O a. 0.967 O b. 0.293 O c. 0.034 O d. 0.98
A sorority has 38 members, 28 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (No Response) X (b) The first person selected is not a pledge. |(No Response)× (c) The second person selected is a pledge if the virst person selected was also a pledge. (No Response) X (d) The second person selected was a full member if the first person selected was a pledge. (No Response) X (e) The second person selected is a pledge if the first person selected was a full member. |(No Response) X (f) The second person selected is a full member if the first person selected was also a full member. (No Response) X (g) The second person selected was a pledge. (No Response) ×
An amount of $10,000 is to be invested for three years. The yield rate for the first year will be equally likely to be 5%, 6%, 7%, 8% or 9%; for the second year will be equally likely to be 7% or 9%; for the third year will be 7%, 8% or 9% with probabilities 0.3, 0.5 and 0.2, respectively. The yield rates in different years are independent. Find the probability that the accumulation of the investment for the three years will be greater than its expected value.
# 1 550 pieces of jewelry are classified according to the type of jewelry, whether it is a necklace, a bracelet, or a pair of earrings, and also according to the color of the jewelry, whether it is white gold, rose gold, or yellow gold. TYPE OF JEWELRY N: NECKLACE B: BRACELET E: EARRINGS TOTAL Y YELLOW 60 55 95 100 205 215 One item is picked at random. Find the following probabilities: (a) P(W) (b) P(B) (c) P(WE) (d) P(B/R) (e) P(RUE) (1) P(Y/E) (9) P(N) W WHITE 80 (h) P(WUR/E) R ROSE 70 40 20 30 130 TOTAL 210 115 225 550
A chemical compound contains 3 particles of a reactant and 6 particles of a catalyst. Particles are removed from the compound at random, and after the removed particle is examined, it is returned back to the chemical compound together with an additional particle of the same type. We call this process of removal/return a "reaction". (a) Assume there are two consecutive reactions. Compute the probability that the first and the second removed particle is a reactant. (b) Compute the probability that at least one of the two removed particles is a reactant. (c) Assume now a third consecutive reaction occurs. Compute the probability that the third removed particle is a catalyst, given that exactly one of the first two is a reactant.
S P(A/B): A Let event A = Student belongs to at least one club on campus and event B = Student participates in team sports on campus P(B|A) = ANB At AnyTown Polytechnic College, 42% of students belong to a campus club, 38% of students participate in team sports, and 5% belong to at least one campus club and participate in team sports. Compute the probabilities requested below. Round all probabilities to four decimal places, as needed. P(ANB) = P(AnB): B
A system has six components connected as shown in the following diagram: A Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F fail are 0.01, 0.05, 0.02, 0.08, 0.10, and 0.05 respectively, what is the probability that the system fails?
A system has five components connected as shown in the diagram. Assume A, B, C, D, and E function independently. If the probabilities that A, B, C, D, and E function 0.50, 0.65, 0.75, 0.95, and 0.80 respectively, what is the probability that the system fails?
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Example 6: In a bolt factory machines A, B, C manufacture 20%, 30% and 50% of the total of their output and 6%, 3% and 2% are defective. A bolt is drawn at random and found to be defective. Find the probabilities that it is manufactured from (i) Machine A.(ii) Machine B (iii) Machine C.