The random variables X and Y in Exercise 1. For the following joint distributions, find the probabilities
Question:
For the following joint distributions, find the probabilities for the random variable X - Y (the difference), and check that E(X - Y) = E(X) - E(Y) and that Var(X - Y) = Var(X) + Var(Y) if Cov(X, Y) = 0.
Transcribed Image Text:
X=0 0.14 0.21 X=1 0.26 0.39 Y=0 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
The random variable X Y takes on the value 0 with pro...View the full answer
Answered By
Rishabh Ojha
During my undergraduate i used to participate as TA (Teaching Assistant) in several electronics and computers subject. I'm passionate about learning Computer Science as my bachelors are in Electronics but i learnt most of the Computer Science subjects on my own which Machine Learning also. At Present, i'm a working professional pursuing my career as a Machine Learning Engineer and i want to help others learn during my free hours, that's all the motivation behind giving tuition. To be frank i have no prior experience of tutoring but i have solved problems on opensource platforms like StackOverflow and github. ~Thanks
4.90+
3+ Reviews
10+ Question Solved
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
Question Posted:
Students also viewed these Statistics questions
-
Find the expectations of the random variables from their marginal distributions. 1. The random variables X and Y in Exercise 1. 2. The random variables X and Y in Exercise 2. 3. The random variables...
-
For the random variables X and Y in Exercise 2.31 on page 72, determine the correlation coefficient between X and Y. Exercise 2.31 From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas,...
-
Consider Review Exercise 3.66. There are two service lines. The random variables X and Y are the proportion of time that line 1 and line 2 are in use respectively. The joint probability density...
-
If you place a charged object next to an uncharged object thatis a conductor, If you place a charged object next to an uncharged object thatis a conductor, A) The force depends on whether the charge...
-
Journalize the following transactions: 201X Apr. 5 Sold merchandise for $1,050 cash. The cost of the merchandise was $600. 16 Made refunds to cash customers for defective merchandise, $90. The cost...
-
Atmospheric air at 25C and a velocity of 0.5 m/s flows over a 50- W incandescent bulb whose surface temperature is at 140C. The bulb may be approximated as a sphere of 50-mm diameter. What is the...
-
For each of the following, calculate the degrees of freedom \((d f)\) and determine the critical values of \(t\) (assume \(\mathbf{a}=.05\) ). a. N = 5, N = 5, H b. N =12, N2 = 12, H: H c. N = 9...
-
Suppose a ten-year, $1000 bond with an 8% coupon rate and semiannual coupons is trading for a price of $1034.74. a. What is the bonds yield to maturity (expressed as an APR with semiannual...
-
How can ethical theories such as utilitarianism, Kantian ethics, and virtue ethics be applied to complex moral dilemmas, such as those involving conflicting interests and competing moral values ?
-
The owner of a private food store is concerned about employee morale. She decides to survey the employees to see if she can learn about work environment and job satisfaction. Obtain a simple random...
-
The random variables X and Y in Exercise 4, with covariance found in Section 7.2, Exercise 4. For the following joint distributions, find the probabilities for the random variable XY (the product)...
-
Evaluate the following. Find all the factorials explicitly. 1. 2. 3. 4. 5. 6. 52 0
-
Figure P9.30 shows a 20 m thick layer of normally consolidated clay ( t = 18.6 kN/m3) that is one-dimensionally loaded by v = 60 kPa. The clay layer is below a 3 m thick layer of granular fill ( t...
-
What is the factor form of f ( x ) = 1 8 x 4 - 5 9 x 2 - 1 4
-
Convert 14.7 miles (mi) into kilometers (km) using the following conversion: 1.61 km = 1 mi (round answer to 2 decimal places) 14.7 mi = km.
-
find the GCF of 2 x ^ 3 y ^ 2 and 4 x ^ 2 y
-
Find the LCD of the following list of fractions. 5 1 1 28 7' 35'55
-
Solve the following in quality, write down the answer and interval notation 8 x < - 6 x - 2 8
-
Reconnecting frequently with colleagues and customers in person a. Is widely considered an inappropriate use of time, given all the electronic options now available b. Is frowned on by successful...
-
Critical reading SAT scores are distributed as N(500, 100). a. Find the SAT score at the 75th percentile. b. Find the SAT score at the 25th percentile. c. Find the interquartile range for SAT scores....
-
A car is traveling at 100km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup?
-
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a (t) = 60t, at which time the fuel is exhausted and it becomes a freely falling body. Fourteen...
-
A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (a) What is the maximum distance the train can travel if it accelerates from rest...
-
There are peer effects, but they differ for the two individuals, u_{1} = x_{1} - x_{1} ^ 2 + beta_{1}*x_{1}*x_{2} with B_{1} = 1 U_{2} = O - x_{2} ^ 2 + beta_{2}*x_{1}*x_{2} with B_{2} = 0 1) Find...
-
How do emerging technologies, such as AI and data analytics, impact the evolution of performance management practices ?
-
The controller for Rainbow Children's Hospital, located in Munich, Germany, estimates that the hospital uses 38 kilowatt-hours of electricity per patient-day, and that the electric rate will be 0.26...
Study smarter with the SolutionInn App