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Random Variables
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Questions (214)
Let Z be a nonnegative random variable that satisfies E[Z4]=4 . Apply the Markov inequality to the random variable Z4 to find
1 answer
asked by
m
326 views
The random variable X is exponential with parameter λ=1 . The random variable Y is defined by Y=g(X)=1/(1+X) .
a) The inverse
6 answers
asked by
drain
3,626 views
Let X,Y,Z be independent discrete random variables with
E[X]=2, E[Y]=0, E[Z]=0, E[X^2]=20 E[Y^2]= E[Z^2]=16, and
4 answers
asked by
stud81
1,637 views
A drawer contains 8 brown socks and 4 blue socks. A sock is taken from the drawer at random, its colour is noted and it is then
7 answers
asked by
I Need Help ASAP
2,514 views
Suppose that the random variables Θ and X are not independent, but E[Θ∣X=x]=3 for all x . Then the LLMS estimator of Θ
4 answers
asked by
seun
2,632 views
Determine the following random variables discrete or continuous:
a)Number of fish I caught during 2 hours? I said: discrete
2 answers
asked by
Ashley
1,089 views
A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until
3 answers
asked by
Adam
1,112 views
Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and
9 answers
asked by
A
1,638 views
A defective coin minting machine produces coins whose probability of Heads is a random variable Q with PDF
fQ(q)={5*q^4 if
3 answers
asked by
Adam
1,388 views
A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers and only one of them is correct. A student
2 answers
asked by
Amriajasmine
1,234 views
The distance a car travels on a tank of gasoline is a random variable.
a. What are the possible values of this random variable?
4 answers
asked by
Rosalina Pereira de Carvalho
1,651 views
Suppose a random variable X can take any value in the interval [−1,2] and a random variable Y can take any value in the
4 answers
asked by
Muhammad
2,505 views
Background: a number, e.g. 2 , can be thought of as a trivial random variable that always takes the value 2 . Let x be a number.
4 answers
asked by
Vince
2,180 views
Let X and Y be independent positive random variables. Let Z=X/Y . In what follows, all occurrences of x , y , z are assumed to
5 answers
asked by
SK
4,773 views
Can you construct a pair of random variables such that
Var(X)=Var(Y)=1 and Cov(X,Y)=2?
5 answers
asked by
clarkson
971 views
Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find
5 answers
asked by
John
6,793 views
Let X1,…,Xn be i.i.d. Poisson random variables with parameter λ>0 and denote by X¯¯¯¯n their empirical average,
X¯¯¯¯n
4 answers
asked by
ramj
2,189 views
let X be a geometric random variable, and assume that Var(X) = 5
a) what is the conditional variance Var(X-4 | X>4)? b) what is
4 answers
asked by
cesar ocana
1,197 views
Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected
4 answers
asked by
Jade
1,595 views
What is the probability that the random variable has a value between 0.1 and 0.5?
The random variable is .125.
4 answers
asked by
Lyndse
2,424 views
suppose x is a uniform random variable with c == 40 and d ==70 . what is the probability that a randomly selected observation is
5 answers
asked by
Anonymous
3,270 views
Let X denote an exponential random variable with unknown parameter λ>0 . Let Y=I(X>5) , the indicator that X is larger than 5 .
3 answers
asked by
Help
1,620 views
Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].
Find the mean and variance of XY.
3 answers
asked by
qwerty
1,070 views
Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].
Find the mean and variance of XY.
4 answers
asked by
Anonymous
1,227 views
The temperature of a cup of coffee is a discrete or continuous random variable?
Am I correct " Discrete"
4 answers
asked by
J.J.
2,430 views
supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to
4 answers
asked by
A
1,334 views
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with
3 answers
asked by
sharon
1,591 views
Suppose that two random variables X1 and X2 have a bivariate normal distribution, and Var(X1) = Var(X2). Show that the sum X1+X2
3 answers
asked by
Sophia
571 views
Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected
3 answers
asked by
Abbey
696 views
Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].
Find the mean and variance of XY.
4 answers
asked by
xyz
1,008 views
The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution
3 answers
asked by
Kim5
735 views
The random variable X has a PDF of the form
fX(x)= 1/x^2,for x≥1, 0,otherwise. Let Y=X2. For y≥1, the PDF of Y it takes
3 answers
asked by
Mar
516 views
Let U1,…,Un be i.i.d. random variables uniformly distributed in [0,1] and let Mn=max1≤i≤nUi .
Find the cdf of Mn , which we
1 answer
asked by
Anonymous
1,263 views
Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find
4 answers
asked by
ram121
1,589 views
Let X and Y be independent random variables with zero means, and variances 1 and 2, respectively. Let U=X+Y and V=X+2Y .
Find the
3 answers
asked by
AK
608 views
A random variable X is generated as follows. We flip a coin. With probability p , the result is Heads, and then X is generated
3 answers
asked by
ramj
1,428 views
Suppose x is a uniform random variable with values ranging from 40 to 60. Find the probability that a randomly selected
3 answers
asked by
Kamal
3,008 views
The table to the right lists probabilities for the corresponding numbers of girls in three births. What is the random
3 answers
asked by
Nancy
1,055 views
an archer shoots arrows at the bull's eye of a target and measures the distance from the center of the target to the arrow.
3 answers
asked by
Anonymous
1,055 views
The random variable X has probability density function f(x)={ax+bx2 , 0<x<1 . If E(X)=0.6 , find (a)P(X<1/2) and (b)var(x)
3 answers
asked by
Lenin
1,213 views
The random variable X has probability density function f(x)={ax+bx2 , 0<x<1 . If E(X)=0.6 , find (a)P(X<1/2) and (b)var(x).
4 answers
asked by
Giri
1,275 views
A biased coin has a 0.4 probability of landing on tails. The random variable X, based on a single toss of the coin, is defined
2 answers
asked by
Anonymous
883 views
: Four cards are drawn without replacement from a well shuffled standard deck of cards. Let X be the number of aces drawn.
12.
3 answers
asked by
Janice
515 views
Suppose X is a uniform random variable with C = 20 and d = 90. Find the probability that a randomly selected observation is
3 answers
asked by
Marie
1,440 views
Classify the following as discrete or continuous random variables.
(A) The time it takes to run a marathon (B) The number of
3 answers
asked by
Jennifer
2,684 views
The following table shows the density of the random variable X.
x 1 2 3 4 5 6 7 p(x) 0.03 0.01 0.04 0.3 0.3 0.1 0.01 8 ? A. Find
3 answers
asked by
Nathan
787 views
A car insurance company has determined that 7% of all drivers were involved in a car accident last year. The company randomly
3 answers
asked by
Christine
630 views
Determine whether the situation calls for a discrete or continuous random variable.
The braking time of a car Is it discrete?
3 answers
asked by
Jalynn
1,687 views
For a hypergeometric random variable, SD(X)=
Multiple choice question.
2 answers
asked anonymously
36 views
For a binomial random variable X, the probability of x successes in n Bernoulli trials is calculated as
Multiple choice question.
2 answers
asked anonymously
57 views
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Parent Categories (10)
Conditional probability
Math/Statistics
Mathematics
Probability
Probability & Statistics
Probability and Statistics
Probability Distribution
Probability Theory
Statistics
Statistics and Probability