Recent questions in Random variables

College StatisticsAnswered question

themediamafia73 2022-09-13

Suppose that X and Y are independent continuous random variables. Show that

$${\sigma}_{x}y=0$$

$$\to $$

$${\sigma}_{xy}$$

$${\sigma}_{x}y=0$$

$$\to $$

$${\sigma}_{xy}$$

College StatisticsAnswered question

Kendra Hudson 2022-09-12

Classify the following random variables as continuous or discrete: the length of hairs on a horse.

College StatisticsAnswered question

Jaylen Dudley 2022-09-12

Suppose that $${Y}_{1}$$ and $${Y}_{2}$$ are independent, standard normal random variables. Find the density

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nikakede 2022-09-11

Explain the difference between how probabilities may be represented for discrete and continuous random variables.

College StatisticsAnswered question

frobirrimupyx 2022-09-11

Show that, for random variables X and Z, $$E[(X-Y{)}^{2}]=E[{X}^{2}]-E[{Y}^{2}]$$ where Y=E[X|Z]

College StatisticsAnswered question

Gaintentavyw4 2022-09-11

If X and Y are independent random variables with equal variances, find Cov(X+Y,X−Y).

College StatisticsAnswered question

Daniel Paul 2022-09-11

If X and Y are random variables, what is the meaning of E(XY) ?

College StatisticsAnswered question

Koronicaqn 2022-09-11

Let X and Y be independent random variables distributed respectively as $${\chi}^{2}(m)$$ and $${\chi}^{2}(n)$$. Find the density of Z = X/(X + Y).

College StatisticsAnswered question

teevaituinomakw 2022-09-11

Which of the following describe discrete random variables, and which describe continuous random variables? a. The length of time that an exercise physiologist’s program takes to elevate her client’s heart rate to 140 beats per minute b. The number of crimes committed on a college campus per year c. The number of square feet of vacant office space in a large city d. The number of voters who favor a new tax proposal.

College StatisticsAnswered question

Zackary Duffy 2022-09-11

The joint density function for random variables X and Y is f(x,y) = {C(x+y) if $$0\le x\le 3,0\le y\le 2,0$$ otherwise. Find the value of the constant C.

College StatisticsAnswered question

Hugh Soto 2022-09-11

If the random variables x and y have joint density function, then?

College StatisticsAnswered question

foyerir 2022-09-11

How do you find the variance of the sum of two independent normally distributed random variables, X and Y, if the two variables are correlated? That is, Var(X+Y) = ___ ?

College StatisticsAnswered question

Audrey Mckee 2022-09-11

Classify each of the following random variables as discrete or continuous. T = winning time in the men's 100-meter dash at a randomly selected international track meet.

College StatisticsAnswered question

cuuhorre76 2022-09-10

The joint probability mass function of the random variables X, Y, Z is p$$(1,2,3)=p(2,1,1)=p(2,2,1)=p(2,3,2)=\frac{1}{4}$$ Find E[XYZ].

College StatisticsAnswered question

Kathryn Sanchez 2022-09-09

Classify each of the following random variables as discrete or continuous. X = the reported score of a randomly selected senior at your school on the SAT Math test.

College StatisticsAnswered question

dizxindlert7 2022-09-08

Classify each of the following random variables as discrete or continuous. W = the exact amount of sleep that a randomly selected student from your school got last night.

College StatisticsAnswered question

Hugh Soto 2022-09-08

Suppose two random variables have standard deviations of 0.10 and 0.23, respectively. What does this tell you about their distributions?

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sooxicyiy 2022-09-06

Let X and Y be independent random variables having geometric densities with parameters $${p}_{1}$$ and $${p}_{2}$$ respectively. Find $$P(X\ge Y)$$.

College StatisticsAnswered question

Kaleigh Ayers 2022-09-06

Let X and Y be random variables having mean 0, variance 1, and correlation $$\rho $$ . Show that $$X-\rho $$ Y and Y are uncorrelated, and that $$X-\rho Y$$ has mean 0 and variance $$1-{\rho}^{2}$$.

College StatisticsAnswered question

Zwitzel Alfante2022-08-29

**WHAT IS THE DIFFERENCE BETWEEN RELATION AND A FUNCTION CITE AT LEAST 1 REAL LIFE APPLICATION**

When you have an equation that deals with random variables, always start with an explanation related to some random variable examples. It is what the majority of skilled engineers do because it is the only way how one can avoid mistakes when working with statistical data. Even though this part of statistics and probability may seem overly complex, approach every random variable equation through the lens of probability as you seek answers to your questions. Compare provided solutions, see similarities, and you will achieve the most efficient solutions.