To assemble a piece of furniture, a wood peg must be
Chapter 0, Problem 7.41(choose chapter or problem)
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 in. and standard deviation 0.006 in. and that the diameter of a randomly selected hole is a random variable with mean 0.253 in. and standard deviation 0.002 in. Let x1 peg diameter, and let x2 denote hole diameter. a. Why would the random variable y, defined as y x2 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.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer