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Probability Theory
Page 2
Questions (275)
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
Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find
5 answers
asked by
ram121
1,782 views
At the local sports academy, everybody plays netball or tennis. Given that half the tennis players also play netball and
4 answers
asked by
Ralph
1,300 views
Germ mix is the letters FPMMFPNJ through it without looking Amanda Jones, one letter expressed as a fraction, decimal, and
5 answers
asked by
Sadaris
187 views
A machine is either working (state 1) or not workind (state 2). If it is working one day the probability that it will be broken
2 answers
asked by
Sally
567 views
Socrates owns just one ship. The ship is worth $200 million dollars. If the ship sinks,
Socrates loses $200 million. The
3 answers
asked by
Salman
863 views
Exercise: Recurrent and transient states
4 points possible (graded) Consider the following transition probability graph: This
2 answers
asked anonymously
196 views
A machine is either working (state 1) or not workind (state 2). If it is working one day the probability that it will be broken
3 answers
asked by
Sally
510 views
Let r_ij (n) = P(X_n=j | X_0 = i) be the n-step transition probability of a given homogeneous discrete time Markov chain with m
4 answers
asked by
Ramya
101 views
Consider a Bernoulli process, with arrival probability at each time slot equal to p=1/3.
An observer arrives at time slot 10 and
3 answers
asked anonymously
322 views
An urn contains 4 red, 6 white, and 3 blue marbles. Three marbles are selected at random and without replacement. What is the
4 answers
asked by
amelia
2,380 views
If Ω is finite and we have a discrete uniform probability law, and if B≠∅, then the conditional probability law on B, given
3 answers
asked by
Igor M. Sill
1,817 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
2,186 views
If X is a random variable which is normally distributed with a mean of 100, then P(X<100)=P(X>100)
True or False?
5 answers
asked by
Leslie
1,876 views
For a family with 2 children, the sample space indicating boy (B) or girl (G) is BB, BG, GB, and GG. If each of the outcomes is
4 answers
asked by
sarah
4,171 views
what is the probability of winning assuming that the order is unimportant when I must choose 4 numbers from the numbers 1
3 answers
asked by
bonnie
1,343 views
Assume that event A occurs with probability 0.4 and event B occurs with probability 0.5. Assume that A and B are disjoint
4 answers
asked by
Tracy
4,075 views
A company ships computer components in boxes that contain 20 items. Assume that the probability of a defective computer
4 answers
asked by
GIBSON
2,773 views
Let S={s1,s2,s3} be a sample space with probability distribution P given by P(s1)-0.2, P(s2)=0.3, P(s3)=0.5. Let f be a function
3 answers
asked by
Islam
542 views
A bag contains 3 red and 5 white toys. Rose picked two toys one after the other. Draw a probability tree. Find the probability
3 answers
asked by
arzam
523 views
What is an example of two events that are neither disjoint nor independent?
(I have no idea how that would even work)
4 answers
asked by
Mischa
1,207 views
The U.S. Weather Service reports that in a certain northern city it rains 35 days and snows 40 days in the winter. However, it
3 answers
asked by
Anonymous
2,351 views
Suppose one card is selected at random from an ordinary deck of 52 playing cards.
Let A= event a diamond is selected B=event a
3 answers
asked by
HM
1,429 views
If Ω is finite and we have a discrete uniform probability law, and if B≠∅, then the conditional probability law on Ω,
3 answers
asked by
Chibuzo
814 views
Problem 2. Hypothesis test between two coins5 points possible (graded)Alice has two coins. The probability of Heads for the rst
3 answers
asked by
andi
1,492 views
A salesperson finds that, in the long run, two out of five sales calls are successful. Twelve calls are to be made. Let X = the
3 answers
asked by
Jane
726 views
The random variables x and y are distributed according to the joint PDF
3 answers
asked by
Alvaro CA
122 views
The discrete random variable W has probability density function (p.d.f.) given by:
P(W=w) = c(5-w) for w= 0, 1, 2, 3 Find c I
5 answers
asked by
Ramesh
779 views
Bob has two coins, A and B, in front of him. The probability of Heads at each toss is p=0.5 for coin A and q=0.9 for coin B.Bob
1 answer
asked by
Anonymous
854 views
Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 12. Using the empirical
4 answers
asked by
Comet
3,111 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
1,274 views
The random variables X1,..,Xn are independent Poisson random variables with a common parameter Lambda . Find the maximum
3 answers
asked by
qwerty
1,366 views
Consider a hypothetical population of dogs in which there are four possible weights, all of which are equally likely: 42, 48,
4 answers
asked by
Sam
1,252 views
There are 80 players at the baseball tryout. 5 players are not trying out b/c of injuries, 15 are trying out for pitcher or
5 answers
asked by
Sam
489 views
it is known that 5% of all parts manufactured at Plant F are defective. If 30 part are randomly selected what is the probability
4 answers
asked by
alexis
464 views
In a carnival game, a player spins a wheel that stops with the pointer on one (and only one) of three colors. The likelihood of
4 answers
asked by
Sydney
3,656 views
Consider a Markov chain X0,X1,X2,… described by the transition probability graph shown below. The chain starts at state 1;
10 answers
asked by
Anonymous
1,054 views
The lifetime (in thousands of hours) X of a light bulb has pdf g(x)= \lambda e^{-\lambda x}, \hspace{3mm} x\geq 0 for some
2 answers
asked anonymously
80 views
let X \in [0,1] and Y \in \mathbb {R} be two random variables such that X \sim \mathsf{Unif}(0,1) and the conditional
2 answers
asked anonymously
45 views
n people put their phones into a box
Kiera has a white phone. Assume each of the remaining n-1 phones has probability p of being
2 answers
asked anonymously
27 views
Recall that the exponential distribution with parameter \lambda is given by the pdf by
\displaystyle \displaystyle f_\lambda (y)
2 answers
asked anonymously
62 views
Let the sample space be Upper S equals StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 EndSet
. Suppose the outcomes are
3 answers
asked by
AOL
51 views
A bag contains 10 balls of which 6 are red and the rest are white and blue and of equal numbers,if a ball is picked at random,
1 answer
asked by
KELVIN
119 views
Degree of freedom
1 answer
asked by
Evodius ndibalema
57 views
What is the mean E(X^2) and variance V(X^2) of the random variable X^2 if X is a standard normal variables
1 answer
asked by
John
89 views
Consider the hat problem, with n=10. What is the expected value of X3X6X7?
1 answer
asked by
AD
125 views
A cubical dice is rolled two times. Show the probabilities of all the possible outcomes of getting or not getting 5 in a tree
1 answer
asked by
Ram udgar sahani
71 views
p(a)=1/3, p(b)=1/4.p(aub)=1/2. find p(a/b)?
1 answer
asked by
probability
158 views
Let 𝑋 =𝐸𝑥𝑝(𝜆). What is the pdf of 𝑌 = 𝑒xp(𝑋) ?
1 answer
asked by
Rahul
186 views
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