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Probability Theory
Page 3
Questions (273)
for 2 indΓ©pendant uniform random variables X , Y in [0,3] find conditional pdf f(XY | X = 1/3)
1 answer
asked by
tante
399 views
Marginal Distribution
1.5 points possible (graded, results hidden) Find the marginal PMF pK(k) as a function of k. For
1 answer
asked by
flammy
845 views
Explain why subjective probability is considered the weakest of the three types of probability. Also, provide an example.
1 answer
asked by
Jade
234 views
The Joint Probability function of two discrete random variable X and Y is given by
f(x,y) = c(2x+y), for x= 0,1,2 and Y= 0,1,2,3.
1 answer
asked by
Arji
350 views
Question 1
a. What does it mean for two events A and B to be statistically independent? b. What is the difference between the
2 answers
asked by
Sam
523 views
Each house number on a street has 2 non-zero digits that are different. What is the probability that the second digit is less
1 answer
asked by
Sophia
336 views
Poisson Processes and Bayes' Rule
We observe a Poisson process with unknown rate. The rate π of the Poisson process is either
2 answers
asked by
peter
779 views
Let X1, X2, ... be a sequence of independent random variables, uniformly distributed on [0,1]. Define Nn to be the smallest k
1 answer
asked by
anon
857 views
We observe a Poisson process with unknown rate. The rate lambda of the Poisson process is either 2 or 4, with equal probability,
4 answers
asked by
anon
1,455 views
Let X and W be independent and uniformly distributed on [β1,1]. We have given the following facts:
E[X]=E[X^3]=E[X^5]=0
2 answers
asked by
Anonymous
745 views
Bob goes to a party, wearing a hat that fits him well. At the end of the party, Bob picks up a hat, without looking at it. He
2 answers
asked by
Anonymous
535 views
Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success for each trial is 1/3 .
2 answers
asked by
Anonymous
625 views
Hi everyone. I am struggling a bit with this one example question I am doing.
Problem: There is a group of 12 people, 6 men and 6
4 answers
asked by
Zozina
723 views
The mutual information I(X,Y)=H(X)βH(X|Y) between two random variables X and Y satisfies
I(X,Y)>0 I(X,Y)β₯0 I(X,Y)β₯0,
1 answer
asked by
digital communication
391 views
Let Y be the discrete random variable with probability function
p(y) = (1/2)^(y+1) y = 0, 1, 2,... Find the moment-generating
1 answer
asked by
Jen
420 views
Fourty people are selected at random. What is the probability that none of the people in this group have the same birthday?
β
2 answers
asked by
Bobbie
1,024 views
Anita's a fast food chain specializing in hotdogs and garlic fries, keeps track of the proportion of its customers who decide to
2 answers
asked by
Riley
895 views
A metal sheet has ,on the average , 5 defects per 1.0 m^2. Assuming a poisson distribution , calculate the probability that a
2 answers
asked by
gourav bhardwaj
534 views
A metal sheet has ,on the average , 5 defects per 1.0 m^2. Assuming a poisson distribution , calculate the probability that a
1 answer
asked by
gourav bhardwaj
471 views
In 2011 a spots club offers its members three types of activities: volleyball basketball and tennis.
Each member practices only
1 answer
asked by
angy
601 views
let x and y be continuous random variables having joint density f(xy)=a^2 e^-ay, 0<=X<=Y.
Find the marginal densities of X an Y.
1 answer
asked by
Daminda
390 views
Consider two events A and B in the same sample space such that P(A)=0.4 and P(B)=0.3. Then A and B are mutually exclusive.
3 answers
asked by
Vasya
925 views
On the ninth day of Statistics, my teacher gave to me --- nine ladies dancing. These nine ladies dancing are the backup dancers
3 answers
asked by
please help
479 views
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If
3 answers
asked by
S
1,343 views
Consider a series of 8 flips of a fair coin.
(a) Calculate the probabilities for obtaining 0-8 heads. We will consider each of
2 answers
asked by
Heidi
589 views
A store clerk filing an order for 17 models of a new smart-phone inadvertently pulled some older models and included them in the
2 answers
asked by
jessica
560 views
Does P(x) = x/5, where x can take values of 0, 1, 2, 3, describe a probability distribution?
Would the answer be no because when
1 answer
asked by
maria
392 views
Does the central limit theorem apply to non-normally distributed variables? Why?
3 answers
asked by
Zam
429 views
Does the central limit theorem apply to non-normally distributed variables? Why?
1 answer
asked by
Zam
368 views
You and your friend just rented a car for an 8,000 mile cross-country road trip. Your rental car
may be one of three different
2 answers
asked by
matt
590 views
A child throws a ball with speed and accuracy when he throws a ball to his teacher but his throws are slower and less accurate
4 answers
asked by
Amanda
492 views
HOW CAN YOU USE DISCRETE PROBABILITY TO CALCULATE THE PROBABILITY OF TESTING 5 DEVICES SUCH THAT ALL 5 END UP BEING
3 answers
asked by
MARAL
423 views
True or False:
\text {KL}(\mathbf{P}||\mathbf{Q})\geq 0 for all discrete distributions \mathbf{P} and \mathbf{Q}. True False
3 answers
asked anonymously
41 views
Four Coins are tossed.
Describe the sample space S, probability of getting more tails than heads and probability of getting at
1 answer
asked by
rosie
459 views
Find the probability of P(E or F) if E and F are mutually exclusive P(E)=0.25 and P(F)=0.47
4 answers
asked by
carol
2,690 views
You roll two fair 6-sided dice. Let be the sum of the two independent rolls.
(a) Give the PMF of in table form. (b) Give a
3 answers
asked by
Ozan
473 views
The probability that Kate goes to the cinema is 0.2. If Kate does not go Claire goes. If Kate goes to the cinema the probability
2 answers
asked by
Anonymous
547 views
A random variable X is defined as the number of heads observed when a coin is tossed 4 times. Make a chart that shows the
2 answers
asked by
Alejandro
548 views
a die is thrown twice. what is the probability that the sum of the rolls is greater than 9 given that the first roll is a 4?
4 answers
asked by
michelle
614 views
1. Use the axioms of probability to show the following:
(a) For any event E, P{Ec} = 1 β P{E}. (b) P{β } = 0. (c) For any
1 answer
asked by
sara
483 views
A survey of TV viewing habits of 50 men and 50 women found the following information: Of the 50 men, 20 prefer watching baseball
1 answer
asked by
Alex
480 views
The Geometric distribution is used when we want to ο¬nd the probability of performing a sequence of
trials with X βfailuresβ
1 answer
asked by
Becca
500 views
CASE STUDY: 1
The bulbs manufactured by a company gave a mean life of 3000 hours with standard deviation of 400 hours. If a bulb
1 answer
asked by
Sardar Hakim
455 views
A β B. Prove P(A|B)>= P(A)
1 answer
asked by
Math
252 views
x is a binomial random variable. (Give your answers correct to three decimal places.)
(e) Calculate the probability of x for: n =
2 answers
asked by
Gayle 57
573 views
What are the possible values of the product of two indicator random variables, IA and IB, associated with events a and b, with
1 answer
asked by
cesar ocana
268 views
What are some strategies for calculating probabilities in real-life situations?
1 answer
asked by
Dj
161 views
What is the conditional probability density function ππ|π(π¦|π₯) of π given π=π₯, if π is uniformly
1 answer
asked by
Arrival
4,716 views
What is the probability distribution function (PDF) of Y, if Y is uniformly distributed on the interval [a,b], where b <= a?
2 answers
asked by
Ann
3,404 views
What is the variance of the difference between two indicator random variables, IA and IB, in terms of the probabilities of
1 answer
asked by
Anonymous
969 views
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