A constructor has two subcontractors for his excavation work. Experience shows that in 60% of ne time, subcontractor A was available to do a job, whereas subcontractor B was available 80% f the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the me. a. What is the probability that both subcontractors will be available to do the next job b. If the contractor learned that subcontractor A is not available for the job, what is the probability that the other subcontractor will be available c. Suppose Ea denotes the event that subcontractor A is available, and Es denotes that subcontractor B is available. i. Are Es and En statistically independent? Explain ii. Are Ea and Es mutually exhaustive? Explain iii. Are Es and Es collectively exhaustive? Explain

A constructor has two subcontractors for his excavation work. Experience shows that in 60% of ne time, subcontractor A was available to do a job, whereas subcontractor B was available 80% f the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the me. a. What is the probability that both subcontractors will be available to do the next job b. If the contractor learned that subcontractor A is not available for the job, what is the probability that the other subcontractor will be available c. Suppose Ea denotes the event that subcontractor A is available, and Es denotes that subcontractor B is available. i. Are Es and En statistically independent? Explain ii. Are Ea and Es mutually exhaustive? Explain iii. Are Es and Es collectively exhaustive? Explain

Name: A constructor has two subcontractors for his excavation work. Experie
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A constructor has two subcontractors for his excavation work. Experience shows that in 60% ofthe time, subcontractor A was available to do a job, whereas subcontractor B was available 80%of the time. Also, the contractor is able to get at least one

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: The probability of obtaining a head in one toss of a coin is 1/2 and the probability of obtaining…

A: The probability of obtaining a head in one toss of a coin is 1/2 the probability of obtaining two…

Q: In an office complex of 1110 employees, on any given day some are at work and the rest are absent.…

A: Given information: Total number of employees (N) = 1110 Number of employees at work today (X0) = 854…

Q: Calculate the probability for both groups.

A: It is given that The number of family from CA owns a home = 730 The number of family from CA do not…

Q: machine consists of two components: A and B. The machine needs both components to operate. As soon…

A: Given problem is:

Q: To generate leads for new business, Gustin Investment Services offers free financial planning…

A: From the given information ,Total number of trials , n = 25 Each seminar costs Gustin = $3900the…

Q: According to the information that comes with a certain prescription drug, when taking this drug,…

A: Given Information: PN=0.24 PD=0.53 PN∩D=0.18

Q: placekicker in pro football has a 77% probability of making a field goal over forty yards on each…

A: Given: Each attempt that is made to field goal is independent. The team will win if a goal is made…

Q: The rooftop bar of a fancy hotel can only be accessed via the two hotel elevators. If one of the…

Q: The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of…

Q: A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be…

A: p=0.03 sample size(n)=144

Q: If a basket ball player makes a 3 point shot, he has a 55% chance of making his next shot. If the…

A: Let Ei denotes the event that the player makes the ith 3-point shot, i=1,2,3. Given that if a…

Q: Jack has decided to advertise the sale of his car by placing flyers in the student union and the…

A: Let E be the event that potential buyer will read the advertisement then P(E) = 0.3 And, Let F be…

Q: Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on…

A: To estimate the probability that Elaine eventually passes the exam using the given table, following…

Q: Suppose that the probability that Bob will go downtown is 45%. Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is 45%. Now, also suppose that if…

Q: According to the information that comes with a certain prescription drug, when taking this drug,…

A: From the provided information, There is 25% chance of experiencing nausea (N) so P (N) = 0.25 49%…

Q: The probability of component A in a computer assembly being faulty is 3%. The similar probability…

Q: We roll a die once. If 3 or 6 comes up, we win 81 dollars; if 1 comes up, we lose 324 dollars; if…

A: Probability of getting 3 or 6 = 2/6 Probability of getting 1 = 1/6 Probability of any other number…

Q: expected payback for a person who buys one ticket in the raffle.

A: Suppose a local symphony decides to raise money by raffling an HD television worth 500$, a dinner…

Q: 24. BONUS: True or false: If Joe and Magdalenda each flip a fair coin 500 times, the probability…

A: probability of an event = number of event of interesttotal nummber of events\ Given: joe and…

Q: Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If…

Q: Gabrielle has purchased the 2-year extended warranty from a retailer to cover the value of hers new…

A: Given: 2-year extended warranty price=$25 cellphone price =$1400 probability that it gets damaged or…

Q: A store specializing in mountain bikes is to open in one of two malls. If the first mall is…

A: For mall 1 : Profit 825,000 -275,000 Probability 12 12 So the expected value…

Q: The probability that divon cannot solve a question is 5/9 and the problem that Suzy solves same…

Q: It is known from past eperience that the probability that a person has cancer is 0.15 and the…

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

A constructor has two subcontractors for his excavation work. Experience shows that in 60% of
the time, subcontractor A was available to do a job, whereas subcontractor B was available 80%
of the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the
time.
а.
What is the probability that both subcontractors will be available to do the next job
b. If the contractor learned that subcontractor A is not available for the job, what is the
probability that the other subcontractor will be available
c. Suppose EA denotes the event that subcontractor A is available, and Er denotes that
subcontractor B is available.
i.
Are E4 and Eß statistically independent? Explain
ii.
Are Ea and EB mutually exhaustive? Explain
iii.
Are E4 and EB collectively exhaustive? Explain
14:19
30.04.2021

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters. Profit =(New accounts opened x _______)-_________ Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.) What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees
answer the following
For the project above, suppose our rework loop was “longer.” That is, in the earlier question, we assumed that, after finishing A4 we have a 20% probability of going back to A3. Instead, assume that after completing A4, there is a 5% chance of having to redo A2 (and hence A3 and then A4), there is a 15% chance of having to redo A3 (and hence A4 as well). b) What is the probability of completing the project in 14 or fewer days? (Please enter the percentage of probability without the percentage sign)
A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $1,425,000 if successful and a yearly loss of $475,000 otherwise. The probability of success is 1. If the second mall is selected, it is estimated that the yearly profit will be $950,000 if successful; 3 otherwise, the annual loss will be $285,000. The probability of success at the second mall is Complete parts (a) through (c) below 4 - a. What is the expected profit for the first mall?
You are a doctor ,a and on average you meet with 30 patients per day. Assuming the NHANES dataset is representative of your patient population, calculate the following. 1. The probability of a single individual having health insurance. = 0.8807812125569134 2. The probability that 3 people in a row will not have health insurance. 3. The probability that 1/3 of your 30 patients for the day do not have health insurance
Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October? n.b the picture is example of solution