Question

In: Statistics and Probability

An undergraduate business student has purchased a laptop computer for use during exams. This laptop is...

An undergraduate business student has purchased a laptop computer for use during exams. This laptop is perfectly reliable except for two parts: its microchip, which has a failure rate of one in every twenty hours of operation; and its battery, which has a failure rate of one in every ten hours of operation. Also, on average the battery will wear out in five hours, with a standard deviation of 30 minutes. Assuming that a new battery has just been installed, what is the probability that the battery will perform reliably during a one-hour exam?

Solutions

Expert Solution

answer:

given data,

  • probability of failure of microchip =1/20 and ,
  • probability of failure of microchip =1/10 and ,
  • probability of failure of battery= 1/30,

to find the probability of the  battery will perform to reliably during the  one-hour of the exam is ....?

the probability is shown in the below step by step,

here we are know as the values is already

now the probability is,

the battery perform  probability in 1 hour is

its the probability is write as the

1/20+1/10 + 1/30

0.05+0.10+0.0333333

0.183333

therefore 0.183333

so finally the probability is 0.0833

0.0833

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Miller Manufacturing builds and markets laptop computers for home and small business use. During the past...
Miller Manufacturing builds and markets laptop computers for home and small business use. During the past five years, sales have been as low as 10,000 units in a year and as high as 15,000 units in a year. The company has been approached by an outside supplier offering to provide completed screens to the company for $65 each. The company’s marketing director negotiated the deal personally and is thrilled about how much cheaper it will be to purchase the screens...
Miller Manufacturing builds and markets laptop computers for home and small business use. During the past...
Miller Manufacturing builds and markets laptop computers for home and small business use. During the past five years, sales have been as low as 10,000 units in a year and as high as 15,000 units in a year. The company has been approached by an outside supplier offering to provide completed screens to the company for $65 each. The company’s marketing director negotiated the deal personally and is thrilled about how much cheaper it will be to purchase the screens...
Assume that Ernesto purchased a laptop computer on July 10 of year 1 for $3,000. In...
Assume that Ernesto purchased a laptop computer on July 10 of year 1 for $3,000. In year 1, 80 percent of his computer usage was for his business and 20 percent was for computer gaming with his friends. This was the only asset he placed in service during year 1. Ignoring any potential §179 expense and bonus depreciation, answer the questions for each of the following alternative scenarios: (Use MACRS Table 1, Table 2.) (Do not round intermediate calculations. Round...
Lina purchased a new car for use in her business during 2019. The auto was the...
Lina purchased a new car for use in her business during 2019. The auto was the only business asset she purchased during the year and her business was extremely profitable. Calculate her maximum depreciation deductions (including §179 expense unless stated otherwise) for the automobile in 2019 and 2020 (Lina doesn’t want to take bonus depreciation for 2019 or 2020) in the following alternative scenarios (assuming half-year convention for all): (Use MACRS Table 1, Table 2, and Exhibit 10-10.) 1.The vehicle...
Lina purchased a new car for use in her business during 2019. The auto was the...
Lina purchased a new car for use in her business during 2019. The auto was the only business asset she purchased during the year and her business was extremely profitable. Calculate her maximum depreciation deductions (including §179 expense unless stated otherwise) for the automobile in 2019 and 2020 (Lina doesn’t want to take bonus depreciation for 2019 or 2020) in the following alternative scenarios (assuming half-year convention for all): (Use MACRS Table 1, Table 2, and Exhibit 10-10.) b. The...
Lina purchased a new car for use in her business during 2019. The auto was the...
Lina purchased a new car for use in her business during 2019. The auto was the only business asset she purchased during the year and her business was extremely profitable. Calculate her maximum depreciation deductions (including §179 expense unless stated otherwise) for the automobile in 2019 and 2020 (Lina doesn’t want to take bonus depreciation for 2019 or 2020) in the following alternative scenarios (assuming half-year convention for all): (Use MACRS Table 1, Table 2, and Exhibit 10-10.) The vehicle...
Lina purchased a new car for use in her business during 2019. The auto was the...
Lina purchased a new car for use in her business during 2019. The auto was the only business asset she purchased during the year and her business was extremely profitable. Calculate her maximum depreciation deductions (including §179 expense unless stated otherwise) for the automobile in 2019 and 2020 (Lina doesn’t want to take bonus depreciation for 2019 or 2020) in the following alternative scenarios (assuming half-year convention for all a. The vehicle cost $32,800 and business use is 100 percent...
Andre, a student preparing for his final exams, has an argument with his parents regarding the...
Andre, a student preparing for his final exams, has an argument with his parents regarding the use of IPod during study hours. According to his parents, listening to music while studying affects cognitive performance and will pose serious impediments in Andre’s ability to focus. But Andre provides a counter-argument, as he believes that music acts as a stress buster. He says that it helps in the release of dopamine that relieves stress and relaxes the mind. Do you agree with...
Business Problem: A computer company produces laptop and desktop computers. The data analytics team in collaboration...
Business Problem: A computer company produces laptop and desktop computers. The data analytics team in collaboration with the marketing team developed a predictive model that forecasts the expected demand for laptops to be at least 1,000, and for desktops to be at least 800 per day. (Assumption: production is in accordance with the demand) The production facility has a limited capacity of no more than 2,000 laptops and 1,700 desktops per day. The Sales Department indicates that contractual agreements of...
A student in economics has completed her undergraduate degree and has been accepted into a one-year...
A student in economics has completed her undergraduate degree and has been accepted into a one-year postgraduate business programme. Upon completion of this degree she will earn an additional $2,000 a year for each of the next 50 years. She will give up $18,000 income that she would otherwise earn and sustain additional costs of $2,000 for educational materials such as books. She cares only about the financial implications of her decisions. (a) if the interest rate for borrowing and...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT