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:
Answer rating: 71% (14 reviews)
From the given distr...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics 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...
-
There are frequently years when the inflation rate is high and yet money growth is quite low. Therefore, statement that inflation is a monetary phenomenon cannot be correct. Comment.
-
What the paralegals role is in the litigation process?
-
Steam enters a nozzle at 400°C and 800 kPa with a velocity of 10 m/s, and leaves at 300°C and 200 kPa while losing heat at a rate of 25 kW. For an inlet area of 800 cm2, determine the...
-
A manager is in charge of a profit center department. He reports the following figures: COGS = $60,000. (Allocated) administrative expense = $16,000. (Allocated) indirect expense = $51,000. You are...
-
Margie Company needs your help to record and summarize its accounting transactions for 2021 and to prepare its financial statements for that year. Margie Company provided you with the following...
-
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
-
The motion of a particle is defined by the relation x = 5t4 4t3 +3t 2, where x and t are expressed in feet and seconds, respectively. Determine the position, the velocity, and the acceleration of...
-
Calculating Social Security and Medicare Taxes Assume a Social Security tax rate of 6.2% is applied to maximum earnings of $128,400 and a Medicare tax rate of 1.45% is applied to all earnings....
-
Under the various theories and tests for ethics, was it ethical for the students to post things on that website? Was it ethical for other students to download copies of those assessments? (According...
-
X is a Canadian manufacturing company that produces inexpensive personal and laptop computers. During 2022, the company started purchasing most of its components from a supplier in Germany. X's...
-
Several factors may influence interest rates for individual securities in an economy like the United Kingdom. One such factor is inflation. Explain how the factor may influence the interest rates of...
-
Futura Company purchases the 75,000 starters that it installs in its standard line of farm tractors from a supplier for the price of $12.00 per unit. Due to a reduction in output, the company now has...
-
The solar system in perspective. The diameters of the Earth and the Sun are approximately 1.3 10 7 m and 1.4 10 9 m respectively, and the average SunEarth distance is 1.5 10 11 m. Consider a scale...
-
The diagram shows the two forces acting on a small object. Which of the following is the resultant force on the object? A. 8 N downwards B. 8 N upwards C. 2 N downwards D. 2 N upwards 3 N 5 N
-
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
-
Analyze the following problems in JMP and answer the questions below: GPA Hours TV 3.24 19 3.1 21 3.24 18 2.61 30 3.03 23 3.37 10 1.6 36 3.2 10 2.96 13 2.18 31 2.5 33 2.95 4 2.72 25 3.05 21 3.45 8...
-
Leadership in a Multicultural Tech Company Company: Tech Vista Innovations Inc. Industry: Information Technology Background: Tech Vista Innovations is a fast-growing global tech company that...
-
Define the following terms: capital goods, consumer goods and services, consumption, demand, distribution, economic goods, economic resources, economic services, economic need, economy, elastic...
Study smarter with the SolutionInn App