Mean value of the random variable

Reference no: EM131010210

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.

Reference no: EM131010210

Questions Cloud

Compute the line tangent to the given curve : Find the line tangent to this curve when t = t0. Find the x- and y- intercepts for this tangent line. Describe what happens to the tangent line as t0 gets large.

What are your racial and ethnic identities : What are your racial and ethnic identities? Where did they come from? How do you know them? How are they reproduced in your life

Single-wall corrugated shipping containers : The article "Compression of Single-Wall Corrugated Shipping Containers Using Fixed andFloating Text Platens" (Journal of Testing and Evalua- tion [1992]: 318-320) described an experiment in which several different types of boxes were compared with ..

Compute the mean and standard deviation : a. Compute the mean and standard deviation of x. b. Compute the mean and standard deviation of y. c. Compute the mean and variance of the total amount of money collected in tolls from cars.

Mean value of the random variable : 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..

Calculate the maximum compression of the springs : The stiffness of each spring is 30kNim and the initial resisting force in each spring before impact is 4.5kN. Using an energy method calculate the maximum compression of the springs.

Factors that cause shifts in demand and in a multi-paragraph : Use your knowledge of the factors that cause shifts in demand, and in a multi-paragraph essay, provide at least three reasons why ice cream sales fluctuate in this manner

Should newton have stuck to minding the london mint : The crowd stares at you. Is he correct? Should Newton have stuck to minding the London mint? Should Leibniz have stayed a librarian at Wolfenbuettel?

Different models of upright freezers : An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following proba..

User Account

All Pages