Let X [cm] and Y [cm] be the diameters of a pin and hole, respectively. Suppose that

Question:

Let X [cm] and Y [cm] be the diameters of a pin and hole, respectively. Suppose that (X, Y) has the density

f(x, y) = 625 if 0.98 < x < 1.02, 1.00 < y < 1.04

and 0 otherwise.

(a) Find the marginal distributions.

(b) What is the probability that a pin chosen at random will fit a hole whose diameter is 1.00?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

See More Books

Question Posted: Dec 26, 2018 05:16 AM

See More Questions

Let X [cm] and Y [cm] be the diameter of a pin and hole, respectively, suppose that (X, Y) has the density f(x, y) = 2500 if 0.99 < x < 1.01, 1.00 < y < 1.02 and 0 otherwise. (a) Find the marginal...
Let X and Y be random variables with Show that Cov(X, Y) = 0 but that X and Y are dependent. 4x- fx.y(x,y)=( elsewhere 0,
Let X and Y be compact subsets of a finite-dimensional normed linear space, and let f be a continuous functional on X Ã Y. Then if and only if there exists a point (x*, y*) X Ã Y such...
An inductor has a linear change in current from 50 mA to 100 mA in 2 ms and induces a voltage of 160 mV. Calculate the value of the inductor.
This case provided the data necessary to perform a cursory supplier financial analysis. In reality, cross-functional sourcing teams must often obtain this data during their assessment of potential...
Consider two firms, one with an FF rating and one with an FFF rating. What is the probability that after 4 years each will have retained its rating? What is the probability that each will have moved...
A vibration pickup has a natural frequency of $5 \mathrm{~Hz}$ and a damping ratio of $\zeta=0.5$. Find the lowest frequency that can be measured with a $1 \%$ error.
The following transactions of Concerto Music Company occurred during 2014 and 2015: 2014 Mar 3 Purchased a piano (inventory) for $72,000, signing a six-month, 4% note payable. May 31 Borrowed $85,000...
What are the pros and cons of eBay having a global auction site in comparison to its current approach of a "US site" with links to individual country sites?...
Consider a welfare program (such as housing) with an eligibility standard that requires that an individuals income be below some threshold level. Draw the individuals budget constraint with and...
To work this problem via spreadsheet, please refer to the data in Problem 10.50. (a) Determine which proposal, A or B, to select using the weighted attribute method and the importance scores for the...
All of the following are examples of debt capital, except: (a) Mortgage on equipment (b) Long-term bonds (c) Short-term loan from a bank (d) Preferred stock
Paul and Sonja, who are married, had itemized deductions of $8,200 and $400, respectively, during 2015. Paul suggests that they file separatelyhe will itemize his deductions from AGI, and she will...
Explain the effect of a rise in expenditure by millenials on real GDP and the price level in the short run. Millennials, who spend an average of $85 a day, are expected to spend at a higher rate in...
The Body Shop is a global manufacturer and retailer of ethically made beauty and cosmetic products. When she founded The Body Shop in 1979, Anita Roddick believed that companies have the potential to...
Throughout this book, we show the importance of ethics and integrity to the practice of HR. A key factor is to make ethical behavior an explicit part of the job analysis, competency model, and job...
Since 1982, Denmark has pegged the exchange rate for the crown against first the German mark and later against the euro. In recent weeks the fixed exchange-rate regime has come under strain as the...
The San Franciscobased visual social media firm Pinterest is one of the first Silicon Valley companies that recognized the dismal state of diversity in the technology industry. In fact, a former...
What are capacity cushions, and why do companies need them?
A Bloomberg Businessweek subscriber study asked, In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often? A second question asked if the type of...
Which of the following is true about the interquartile range? A. It represents the range of approximately the middle quarter of a data set. B. It represents the range of approximately the middle 50%...
Which of the following is NOT true about quartiles? A. The lower quartile is always smaller than the upper quartile. B. Quartiles can be calculated by determining the median of the values above/below...
Approximately what does the box portion of a boxplot display? A. The middle quarter of the data B. The middle half of the data C. The lower quarter of the data D. The upper quarter of the data
The imposition of a ceiling on the length of time a criminal case should take to get to trial is a multifaceted issue, balancing the defendant's right to a timely trial with the complexities of...
Discuss three changes written into the Constitution in 1789 that changed the government from what it was under the ArticIes of Confederation?
Assume South Park is initially closed to trade. Domestic supply and demand for winter hats is given by the following equations: D = 60 - 4P, S = 2P - 6. a. Suppose South Park opens up to trade and...

Let X [cm] and Y [cm] be the diameters of a pin and hole, respectively. Suppose that

Question:

Step by Step Answer:

From the given distr...View the full answer

Advanced Engineering Mathematics

Students also viewed these Mathematics questions