Two pumps connected in parallel fail independently ofone another on any given day. The probability that onlythe older pump will fail is .10, and the probability thatonly the newer pump will fail is .05. What is the probabilitythat the pumping system will fail on any given day(which happens if both pumps fail)?

Two pumps connected in parallel fail independently ofone another on any given day. The probability that onlythe older pump will fail is .10, and the probability thatonly the newer pump will fail is .05. What is the probabilitythat the pumping system will fail on any given day(which happens if both pumps fail)?

Name: Two pumps connected in parallel fail independently ofone another on an
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Two pumps connected in parallel fail independently ofone another on any given day. The probability that onlythe older pump will fail is .10, and the probability thatonly the newer pump will fail is .05. What is the probabilitythat the pumping system

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

Related questions

Q: Gertrude owns a movie theatre in the town of Northern Millstone. Assume the following to be true.…

A: From the given information, If a resident of Northern Millstone patronizes Gertrude’s movie theatre…

Q: Two engines (one old and one new) fail independently of one another. The probability that both…

A: Independent events: Those two or more events are considered independent events if the appearance of…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

Q: Jim has to take two consecutive exams to get a certificate. The probability for him to pass the…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) = 0.7 The…

Q: Barbie has applied to both Harvard and Yale. The probability that Harvard will admit her is 0.65,…

A: We denote Yale by Y, Harvard by H, and thus their corresponding probabilities by P(Y) and P(H),…

Q: he probabilities that Anita and Evita will not do their homework are 0.3 and 0.2, respectively. The…

A: Given Information: P(Anita will not do her homework) = 0.3 P(Evita will not do her homework) = 0.2…

Q: uppose the probability that it will rain tomorrow is 0.66. What is the probability that it will not…

A: We will use the complement property of probability

Q: Machines A and B produce 40% and 60% respectively of the production of a component intended for the…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: 1. If the book is available in the bookstore, what is the probability that it will be published by…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Alicia believes that the probability for the stock market to go down is 0.7 give: that the economy…

A: We have find gíven probability...

Q: Q1. A pumping station has 3 identical units with a capacity of 4000 litre/hour and 2 identical units…

A: Given a pumping station has 3 identical units with capacity of 4000 liter/hour and 2 identical units…

Q: The probability that a person stopping at a gas station will ask to have his tires checked is 0.12,…

A: Given data isThe probability that a person stopping at a gas station will ask to have his tires…

Q: a. In CSE230, there were 2 assignments this semester. The probability that you would NOT get above…

Q: The probability is .21 that Disney World will raise ticket prices next year. The probability is .43…

A: GivenThe probability that Disney world will raise ticket prices next year=0.21The probability that…

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: In a certain year, the probability that a stock was in the Information Technology sector was 0.1302.…

Q: On any particular Friday evening, the probability that Jason will go to the mall and go for a…

A: event A : go to the mall event B : go for a coffee P(A∩B) = 13P(B|A) = 47P(A) = ?

Q: You have relatives coming for dinner this weekend. The probability that your uncle Josiah will show…

A: Given Data: Let A be the event that your uncle Josiah will show up Let B be the event that your aunt…

Q: Industrial robots are programmed to operate through microprocessors. The probability that one such…

A: The objective of the question is to find the probability that the robot will operate for at most 5…

Q: The probability of a tornado in your home county in any one year is 0.073. What is the probability…

A: Answer:- Given, The probability of a tornado in your home county in any one year is 0.073. That is,…

Q: | finish the mathematics assignment is 0.70, and the pro poth assignments is 0.40. What is the…

Q: Pedro has just entered university and has been informed that there is a 30% chance of receiving a…

A: Given that Pedro has just entered university and has been informed that there is a 30% chance of…

Q: When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The…

Q: The probability of a particular soccer team winning a game is 0.30. The probability of the team…

A: From the provided information, The probability of a particular soccer team winning a game = 0.30…

Q: The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk…

A: Given that P(A)=0.55 , P(B)=0.45 , P(A n B)=0.11 A=own microwave, B=CD player A n B=both a…

Q: Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10…

A: Given Information : Total number of students = 33 The number of female students = 23 and five of…

Q: The probability that a student passes mathematics is 2/3 and the probability that he passes biology…

Q: If she made the last free throw, then her probability of making the next one is 0.6. On the other…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability…

Q: A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he…

A: The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9 The…

Q: a. In CSE230, there were 2 assignments this semester. The probability that you would get above…

Q: Q1: If one card is drawn from a standard deck, what is the probability that the card is a face card?…

A: No. of cards in astandard deck = 52No. of face cards in a deck = 12

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Two pumps connected in parallel fail independently of
one another on any given day. The probability that only
the older pump will fail is .10, and the probability that
only the newer pump will fail is .05. What is the probability
that the pumping system will fail on any given day
(which happens if both pumps fail)?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Susie has three children. Josh has a z-score of 0.87 for his height and David has a z-score of 0.13 for his height. Solve for the probability the Kelley will have a height between her brothers. Positive z-scores: Z 0.0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0 0.5000 0.5040 0 5080 0 5120 0.5160 0.5199 0.5239 0.5279 0.1 0.5398 0.5438 0.5478 05517 0.5557 0.5596 0.5636 0.5675 0.2 0.5793 0.5832 0.5871 0 5910 0.5948 0.5987 0.6026 0.6064 03 06179 0 6217 0.6255 0. 6293 0.6331 0.6368 0.6406 0. 6443 0.4 0 6554 0.6591 0.6628 0.6664 0.6700 0 6736 0.6772 0.6808 0.5 0.6915 0.695o 0.6985 07019 0.70540.7088 0.7123 07157 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 DELL %24 & 23 8) 4 7 の 10
The probability that a book will be published by Penguin Classics is 0.3. The probability that it will be available in a bookstore is 0.4. If the book is publish by Penguin Classics, the probability that it will be available in a bookstore is 0.8. 1. If the book is available in the bookstore, what is the probability that it will be published by Penguin Classics? 2. Find the probability that the book will be either published by Penguin Classics and be available in Bookstore. 3. Find the probability that the book wull be published by Penguin Classics or be available in Bookstore. 4. Find the probability that the book will be publish by Penguin Classics and be available in Bookstore.
Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.Give your answer to four decimal places. 1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?
suppose that an airline has two flights each day from Toronto to Winnipeg; one scheduled at 9am and the other at 3pm. On any given day, the probability that the 9am flight departs on time is .81the probability that the 3pm flight departs on time is .68. The probability that neither depart on time is .21. Find the probability that the 3p flight does not depart on time. Find the probability that both flights depart on time. Find the probability that exactly one of the two flights depart on time. Full explanation (not too complicated) would be awesome
Suppose the probability of Harry not attending ceremony is 7 1 The probability of Harry and Chris attending ceremony is 5. Find the probability that Harry will attend the ceremony and Chris will not attend the ceremony. (Round your answer to three decimal places.)
John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077
In a certain year, the probability that a stock was in the Information Technology sector was 0.1353. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2988. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4469. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F)= and P P (F') =
Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
The probability of working on Saturday is 0.52. The probability of working on Sunday is 0.61. The probability of not working on either day is 0.12. What is the probability that you work both days?
Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.
The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?
Miss 'X' is fond of seeing films. The probability that she sees a film on the day before the test is 0.7. Miss X is any way good at studies. The probability that she maxes the test is 0.3 if she sees the film on the day before the test and the corresponding probability is 0.8 if she does not see the film. If Miss 'X' maxed the test, find the probability that she saw the film on the day before the test.