Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Find the probability that... a) the new engine fails b) both engines work (do not fail)

Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Find the probability that... a) the new engine fails b) both engines work (do not fail)

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: connection and one for his phone connection. The probability that the home connection will fail at…

A: Given Data: P( home connection failure)=0.23 P( phone connection failure)=0.18

Q: Q. 2 The probability that a smoker who consumes over 20 cigarettes 4 The 10 5 The 10 a day will…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: at all. The probability that a referee making a serious mistake in a match is 0.4. What is the…

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

Q: event that the smoke will be detected by at least one of A and B. b. event that the smoke will not…

A: Here given , A smoke detector system uses two devices, A and B. If smoke is present, the…

Q: Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been…

A: let X be the hit the target n=3, p=0.90 X~B(3,0.90) (1) P(X>=2)= ? (2) P(X=2)= ?

Q: Ahmed and Rashid are two friends. Probability that Rashid will live more than 20 years is 0.85.…

Q: The probability that a newborn baby does not cry after midnight is 2/50. The probability that a…

A: Given that Probability mass function of X is x 0 1 2 3 4 5 P(X=x) 2/50 11/50 23/50 9/50 5/50…

Q: 12. Suppose that the probability that Bob eats a banana at lunch is 41%. Also, suppose that the…

Q: The probability of event A to happen is 3/4, and the probability of event B to happen is 3/5. If the…

A: Given : p ( A ) = 3/4 p ( B ) = 3/5 p ( A n B ) = 1/4

Q: 15. Suppose that the probability that Bob eats an apple at lunch is 32%. Also, suppose that the…

A: 15) The probability that Bob eats an apple at lunch is 32%. The probability that Bob eats a pear at…

Q: We know that on a random day during the summer the probability that the student jogs is 0.65, the…

A: Let J - jogs, S-swim. P(J) = 0.65 P(S) =0.40 P(J and S) = 0.18

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours…

A: Given Data collected at an airport suggests that an exponential distribution with mean value 2.675…

Q: A small town has two fire engines available for emergencies and are operating independently. The…

A: From the provided information, Probability that a specific engine is available when needed is 0.96…

Q: Q 1: A box contains 10 red balls, 11 black balls, and 4 white balls. If four balls are drawn in a…

A: According to our guidelines we can answer only three subparts and rest can be repost. Given data:…

Q: Evaluate Lee draws two cards from a well-shuffled standard deck of 52 cards. Find the probability…

A: Given: Lee draws two cards from a well-shuffled standard deck of 52 cards.We have to find some…

Q: Q2. One organization argues that the sonar system using in the Navy constitutes a substantial risk…

A: c. 1. Events are A= mass stranding of whales in this area B= military…

Q: true/False 1.Events E and F are dependent if the probability of event E is unaffected by the…

Q: Let there be two newly launched phones A and B. The probability that phone A has good battery life…

A: Obtain the probability that a phone has a good battery life. The probability that a phone has a…

Q: The bison population lives and breeds in the central and northern regions of the Yellowstone…

A: Let X be a random variable representing the number of bison sightings such that the rate of bison…

Q: We know that on a random day during the summer the probability that an adult in California goes to…

A: Introduction :- Here we have to find various probabilities for given scenerio. Given :-…

Q: gold watch? 692 In a factory manufacturing fountain pens, machines X, Y and Z manufacture 20, 30 and…

A: Given that,In a factory manufacturing fountain pens, machines X, Y and Z manufacture 20, 30 and 50…

Q: The probability that I will take a Science class is 0.6. The probability that I will take Math class…

A: Let A is the event of taking Science class and B is an event of taking Math class. then, PA = 0.6 ,…

Q: Use the following table to answer questions 1 and 2: Light colors Dark colors Vibrant colors Female…

A: (1) Obtain the probability that a randomly chosen person is male or prefers light colors. The…

Q: An automobile is being filled with petrol. The probability that oil is also need to be changed is…

A: If a certain condition is imposed on happening of an event, then the probability of happening of…

Q: A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The…

A: Solution

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

A: Let, A = The old engine fail B = The new engine fail Given that the probability that both engines…

Q: Ex.3 if the probability of someone sick from a disease is = 0.4 If there are 5 persons having this…

A: Given data: Probability of someone sick from a disease = 0.4 Total number of persons having this…

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: Suppose you have a possibility to pass in mathematics 0.5. Also you have a possibility to pass in…

A: Let A represents mathematics1 and B represents mathematics2 so given that P(A) = 0.5 and P(B) = 0.7…

Q: (cv² Scu ,v = 1,2, 3, 4 Py(v) = , otherwise Find the value of the constant c. b. Find the…

Q: Suppose that two persons are working on a project together. The probability that person A works for…

A: Given

Q: Q20. If a number x is chosen at random from the numbers -2,-1,0,1,2. Then, the probability that x²<2…

Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

Q: Your drawer contains 10 red socks and 6 blue socks. It's too dark to see which are which but you…

A: As per our guidelines we are suppose to answer only one question. Given,no.of red socks=10no.of blue…

Q: We know that on a random day during the summer the probability that the student jogs is 0.65, the…

A: The probability that the student jogs is 0.65, the probability that the students swims is 0.40 and…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

TF.3

Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Find the probability that...

a) the new engine fails

b) both engines work (do not fail)

Video Video

Expert Solution

Step 1

Independent events:

Those two or more events are considered independent events if the appearance of any one of the events has no impact on any of the other remaining events; that is, the likelihood of one does not affect the likelihood of others.

Given information:

Two engines (one old and one new) fail independently of one another.

Let the failure of old engine be represented by O.

Let the failure of new engine be represented by N.

The probability that both engines fail is, $P (O and N) = 0.01$

The probability that ONLY the new engine fails is, $P (only N) = 0.03$

Step by step

Solved in 2 steps

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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

Q7 A faculty member meets two students in Paris, one of whom arrives by train from Amsterdam and the other from Brussels at approximately the same time. The probability that the train from Amsterdam will arrive on time is 0.93. The probability that the train from Brussels will arrive on time is 0.89, and the probability that both trains will arrive on time is 0.87. What is the probability that at least one train will arrive on time?
The probability that a certain kind of component will survive a shock test is 3/4. Find the probability that exactly 2 of the next 4 components tested survive. Assume the test are independent. a.27/128 b.1/8 c.13/15 d.3/5
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.
Q P.16: P(A and B) = 0. 32, P(not A and B) = 0.48. Find P(A) and P(B) if events A and B are independent.
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?
Assume that n 16, and p = 9/10. Find the probability of at least 2 successes and at least 3 failures.
3) Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be17 . Who is correct? Explain and justify your answer by showing work. _______________ is correct because ____________________________________________ ____________________________________________________________________________
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
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.
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?