Question: A brewery utilizes two bottling machines, but they do not operate simultaneously. The second machine acts as a backup system to the first machine and

A brewery utilizes two bottling machines, but they do not operate simultaneously. The second machine acts as a backup system to the first machine and operates only when the first breaks down during operating hours. The probability that the first machine breaks down during operating hours is .20. If, in fact, the first breaks down, then the second machine is turned on and has a probability of .30 of breaking down.
a. What is the probability that the brewery’s bottling system is not working during operating hours?
b. The reliability of the bottling process is the probability that the system is working during operating hours. Find the reliability of the bottling process at the brewery.

Step by Step Solution

★★★★★

3.48 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Given Probability that first machine breaks down during ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics For Engineering And The Sciences Questions!

A bank of machines in a manufacturing shop breaks down according to the following interarrival time distribution. The time it takes one repairperson to complete the repair of a machine is given in...

A small brewery considers the output of its bottling machine as a continuous income stream with an annual rate of flow at time t given by f (t)=80e-0.1t in thousands of dollars per year. Find the...

CASES Case 1-1: Can SodaStream Disrupt the Carbonated Soft Drink Market? "Transportation for carbonated drinks in the world utilizes 100 million barrels of oil every year. That is 20 times the BP...

\ This case was developed solely for the purpose of classroom discussion. Some details of the case have been disguised. This case is not intended to serve as endorsements, sources of academic or...

this is the whole case study. i need help with the action items. This case was developed solely for the purpose of classroom discussion. Some details of the case have been disguised. This case is not...

Columbus Custom Carpentry - Active Employees First N Last NaSexAge EEO FT/PT Anthony Chad Jeffrey Molly Daniel Brook James Brian Scott Ronnie Terry Stephen Benny Don Roger Christop Raven Brian Nikki...

Provide a summary technical report with your own words about Pipelined Execution which is also named as Instruction Level Parallelism, addressing mainly the following areas: 1. What is Pipelined...

I need help with this case study. actions items page ( the last page) must be answered based on this case study Council of Supply Chain CSCMP Management Professionals The World's Leading Source for...

This case was developed solely for the purpose of classroom discussion. Some details of the case have been disguised. This case is not intended to serve as endorsements, sources of academic or...

A ladder of length ? and uniform mass density stands on a frictionless floor and leans against a frictionless wall. It is initially held motionless, with its bottom end an infinitesimal distance from...

According to an Experiential Education Survey published at JobWeb.com, the average hourly wage of a college student working as a co-op is $15.64 an hour and the average hourly wage of an intern is...

What is the future value of a 3 - year, $ 1 0 0 ordinary annuity if the annual interest rate is 4 % ?

Why do individuals act with bounded rationality?

A family of pdf's that has been used to approximate the distribution of income, city population size, and size of firms is the Pareto family. The family has two parameters, k and , both > 0, and the...

Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is f(x) = 32 / (x + 4)3 for x

The completion time X for a certain task has cdf F(x) given by a. Obtain the pdf f(x) and sketch its graph. b. Compute P(.5 X 2). c. Compute E(X). 73 01 34 03-3 ) 3 2

Consider the following sample data: 4 2 5 0 3 2 5 2 3 8 4 8 a . Calculate the range. b . Calculate MAD. ( Round your intermediate calculations to at least 4 decimal places and final answer to 2...

Matsumoto Limited (ML), a large conglomerate firm, has a capital structure that currently consists of 20 percent long-term debt, 10 percent preferred stock, and 70 percent common equity. ML has...

Investing $2,000,000 in TQM's Channel Support Systems initiative will at a minimum increase demand for your products 1.7% in this and in all future rounds. (Refer to the TQM Initiative worksheet in...