To assemble a piece of furniture a wood peg must be, Ask an Expert

Statistics

To assemble a piece of furniture, a wood peg must be inserted into a predrilled hole. Suppose that the diameter of a randomly selected peg is a random variable with mean 0.25 inch and standard deviation 0.006 inch and that the diameter of a randomly selected hole is a random variable with mean 0.253 inch and standard deviation 0.002 inch. Let x1 5 peg diameter, and let x2 5 denote hole diameter.

a. Why would the random variable y, defined as y 5 x2 2 x1, be of interest to the furniture manufacturer?

b. What is the mean value of the random variable y?

c. Assuming that x1 and x2 are independent, what is the standard deviation of y?

d. Is it reasonable to think that x1 and x2 are independent? Explain.

e. Based on your answers to Parts (b) and (c), do you think that finding a peg that is too big to fit in the predrilled hole would be a relatively common or a relatively rare occurrence? Explain.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91725914

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A study indicates that the weights of adults are normally

A study indicates that the weights of adults are normally distributed with a mean of 140 lbs and a standard deviation of 25 lbs. Find a value of weight x such that only 20% of adults weigh less than that. A. 136 B.190 ...

Jen amp barrys fast fresh salad bags starts with 280000

"Jen & Barry's Fast Fresh Salad Bags" starts with $280,000 invested. Jen and Barry pay 20% down and finance the balance with a 20-year small business loan at 4.5% compounded monthly. What is the amount of their monthly l ...

A representative from your company visited a prison and

A representative from your company visited a prison and sampled 500 prisoners in Kailil, concluding that 90 of them are political prisoners. The Test hypothesis, at the 5% significance level, that one third of the prison ...

A blaster rifle manufacturing facility on naboo has 6500

A blaster rifle manufacturing facility on Naboo has 6,500 employees. The employees were asked whether they preferred a four-day work week (10 hours per day), a five- day work week (8 hours per day), or flexible hours. Yo ...

How could legislation impact on operations within your

How could legislation impact on operations within your organisation in relation to innovation, project management, and operational planning? Briefly outline any relevant requirements (e.g. intellectual property, WHS).

Your company doesnt face any taxes and has 760 million in

Your company doesn't face any taxes and has $760 million in assets, currently financed entirely with equity. Equity is worth $51.00 per share, and book value of equity is equal to market value of equity. Also, let's assu ...

From a sample of 35 presidential elections - 19 of those

From a sample of 35 presidential elections - 19 of those have been Republican (R) victories - and 16 have been Democrat (D) victories. I need to know how to construction a 95% confidence interval about the proportion o ...

In the game of roulette a player can place a 7 bet on the

In the game of? roulette, a player can place a ?$7 bet on the number 18 and have a 1/38 probability of winning. If the metal ball lands on 18?, the player gets to keep the ?$7 paid to play the game and the player is awar ...

A foreign trader at the banks tx desk calls to inform you

A Foreign trader at the bank's TX desk calls to inform you that the company TD Bank is quoting $1.20/€1, and Bank of America is offering $1.40/£1. The trader also noticed thatCredit Z is also making the market in pound ...

Leprosy also called hansens disease is a disease produced

Leprosy, also called Hansen's disease, is a disease produced by infection with a bacterium called Mycobacterium leprae. It has a long incubation period (time between getting infected and developing the disease), usually ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert