Prob-3Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw typecompressors, (S1,S2) and one-reciprocal type compressor, (R). Each compressor, at any given time, is either off (0), or on (1). Assume that event Ais denoted to reciprocal compressor (R) that is always off. Event B is denoted that at least one of the screw type of compressor is always on. IfP(A)=41%; P(AUB)=97%, and at any given time, "probability of all compressor off'is 2%, compute probability of B; P(B) =?Sol:

The events A and B are given as- A : Reciprocal compressor (R) is always off. B: At least one of the…

Answered: Prob-3 Pressurized air are being used…

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

Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A, be the event that the receiver functions properly throughout the warranty period, A, be the event that the speakers function properly throughout the warranty period, and A, be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A,) = 0.96, P(A,) = 0.92, and P(A,) = 0.70. (Round your answers to four decimal places.) (a) What is the probability that all three components function properly throughout the warranty period? 0.6182 (b) What is the probability that at least one component needs service during the warranty period? 0.3818 (c) What is the probability that all three components need service during the warranty period? 0.0010 (d) What is the probability that only the receiver needs service during the warranty period? 0.0269 (e) What is the probability that exactly one of the three…
If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =
4 In a communication system the signal sent from point a to point b arrives by two paths in parallel. For path 1, the signal passes through two repeaters (in series ). Each repeater has probability of failing ( becoming an open circuit ) of 0.1 . For path 2, the signal passes through one repeater with a probability of failing of 0.08 . All repeaters fail independently of each other. Find the probability that the signal will not arrive at point b. 0.0152 0.016 0.008 0.09
(a) For two events A and B, suppose that P(A) = 0.3, P(B) = 0.5, and P(AUB) = 0.6. Calculate P(An B). (b) If P(A) = 0.6, P(B) = 0.3, P(An Bc) = 0.4, and BCC, calculate P(AŬBªỤCª).
Question No. 1: Suppose that for a call center “ALPHA" want to hire some more staff. A Resume of 351 applicant for a job is received. For this job, it approved 153 applicants initially, rejected 110 outright, and on hold 88 for the future consideration. In the past, this call center has approved 20% of the on hold initial applications of applicants. Let I, R, and H represent the events that an applicant who applies for a job is approved Initially, Rejected outright, and on Hold for a call center need. a) Use the data to estimate P(I), P(R), and P(H). b) Are events I and R mutually exclusive? Find P (I U R). c) Suppose an applicant applies for a job. What is the probability that the applicant will be approved for initially job or be on hold and later got the job in a call center?
The highways connecting two resorts at A and B are sometimes closed due to snow and ice. Let E,, E, and E, denote the events that highways AB and AC and CB are passable, respectively. From past years' records: 3 P(E,) =. P(E,) =, P(E,) =, =. 4 P(E,\ E,) = and P[E, |(E,nE,)]= 4 What is the probability that a traveler will be able to get from A to B? E, E2 Hint: Define E: the event that a traveler can get from A to B E= E, U(E,E), and %3D compute P(E) to find the probability that a traveler will be able to get from A to B, ie. P(E), for this computation use the definition of conditional probability and compute P(E) to find the probability that a traveler will be able to get from A to B, i.e. P(E), for this computation use the definition of conditional probability.
If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B) is?
Events A and B are independent. Suppose event A occurs with probability 0.26 and event B occurs with probability 0.65. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that B occurs but A does not occur. (b) Compute the probability that either B occurs without A occurring or A and B both occur.
Please answer d and e. P.9.2
Which of the following statements is false? Two independent events cannot occur at the same time. Two complementary events cannot occur at the same time. Two disjoint events cannot occur at the same time.
. If A is an arbitrary event, then show that P(A) = 1- P(A).
Suppose that A and B are two INDEPENDENT events for which P(A) = 0.19 and P(B) = 0.55. Find each of the following: A. P(A|B) = B. P(B|A) = C. P(A and B) = D. P(A or B) = ENTER YOUR ANSWER TO 2 DECIMAL PLACES ENTER YOUR ANSWER TO 2 DECIMAL PLACES ROUND YOUR ANSWER TO 4 DECIMAL PLACES ROUND YOUR ANSWER TO 4 DECIMAL PLACES

SEE MORE QUESTIONS

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