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Probability and Statistics
Page 5
Questions (4,630)
Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter
5 answers
asked by
Anonymous
3,095 views
A six-sided die has been tossed 4 times. How many sequences of these 4 outcomes contain at least one number greater than 4?
4 answers
asked by
picklepeter
1,469 views
Standard Normanl Drill:
A. Find the number z such that the proportion of observations that are less than z in a standard Normal
5 answers
asked by
Devon
8,250 views
In a batch of 8,000 clock radios 5% are defective. A sample of 14 clock radios is randomly selected without replacement from the
6 answers
asked by
havier
13,665 views
Selecting a letter of the alphabet: If 3 letters of the alphabet are selected at random, find the probability of getting at
4 answers
asked by
Anonymous
5,978 views
Assume that a researcher randomly selects 14 newborn babies and count the number of girls, X. The probabilities corresponding to
4 answers
asked by
Emily
2,186 views
Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8
4 answers
asked by
yeet
1,999 views
Let X be an exponential random variable with parameter λ=2. Find the values of the following. Use 'e' for the base of the
4 answers
asked by
Anon
1,045 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
Raul
813 views
A number cube is rolled 100 times. The results are shown in the table below.
Outcome: 1, 2, 3, 4, 5, 6. Number of times rolled:
12 answers
asked by
Xx
2,683 views
Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are hearts?
There are 13
5 answers
asked by
Matt
5,129 views
A golfer has 12 golf shirts in his closet. Suppose 9 of these shirts are white and the others blue. He gets dressed in the dark,
7 answers
asked by
tasneem
3,055 views
There are 2 white marbles in urn A and 4 red marbles in urn B . At each step of the process a marble is selected from each urn
4 answers
asked by
Subhadip
859 views
You are interested in the number of chocolate chips on a cookie. To estimate this number, you consider two different
3 answers
asked by
Joseph
1,056 views
Students were surveyed to find out their favorite ice cream flavors. The results showed that 48% chose vanilla and 20% chose
3 answers
asked by
H
629 views
the probability of passing an examination is 0.8 what is the probability of failing the examination
5 answers
asked by
abdulsamad
987 views
Four quilters are preparing patches for a quilt. When finished, the quilt will contain 200 patches. The quilters’
3 answers
asked by
chris
646 views
Each phone call by Ali consumes an amount of time that follows an exponential distribution with mean 5 minutes. The number of
23 answers
asked by
Alpha
3,564 views
In a large crowd,there are three times as many men as women.
Three people are chosen at random. Assuming there are so many people
3 answers
asked by
Esther
356 views
a)One game in a state lottery requires you to pick 1 heart, 1 club, 1 diamond, and 1 spade, in that order, from the 13 cards in
4 answers
asked by
Matthew
2,226 views
A closet contains 13 different pairs of gloves. The 26 gloves are randomly arranged into 13 pairs.
(a) Find the probability that
1 answer
asked by
New_Learner
251 views
Pick a Card.
Mike and dave play the following card game. Mike picks a card from the deck If he selects a heart Dave gives him $5,
2 answers
asked by
Adie
878 views
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200 hours and a standard
1 answer
asked anonymously
36 views
oddsnoun
the chances or likelihood that one thing will happen rather than another thing. I hope I will win the race, but the odds
1 answer
asked anonymously
23 views
Use the image to answer the question. The box plot represents the hourly wages for a group of teenagers working their first
1 answer
asked by
anyone
58 views
provided.
The police department is keeping track of distracted drivers and accidents. They have found that if a driver is
1 answer
asked anonymously
19 views
a hotel maintenance crew wants to estimate how many of the 12000 lamps in their 30-story hotel need a new light bulb which of
1 answer
asked anonymously
7 views
Consider n independent rolls of a k-sided fair die with k≥2: the sides of the die are labelled 1,2,…,k and each side has
5 answers
asked by
JuanPro
7,572 views
Let X be an exponential random variable and let Y=aX+b . The random variable Y is exponential if and only if (choose one of the
5 answers
asked by
luli
1,978 views
t the discrete random variable X be uniform on {0,1,2} and let the discrete random variable Y be uniform on {3,4}. Assume that X
7 answers
asked by
JuanPro
6,585 views
Consider the random variables X, Y and Z, which are given to be pairwise uncorrelated (i.e., X and Y are uncorrelated, X and Z
3 answers
asked by
JuanPro
5,120 views
Let X be a non-negative random variable. Find the PDF of the random variable Y=lnX for each of the following cases:
For general
3 answers
asked by
navneethc
4,596 views
Every person has a random number of children, drawn from a common distribution with mean 3 and variance 2. The numbers of
4 answers
asked by
Muhammad
2,378 views
The bias of a coin (i.e., the probability of Heads) can take three possible values, 1/4 , 1/2 , or 3/4 , and is modeled as a
5 answers
asked by
Anil07
2,955 views
Consider the same stick-breaking problem as in the previous clip, and let l=1. Recall that fX,Y(x,y)=1/x when 0<=y<=x<=1.
a)
5 answers
asked by
maria
1,478 views
As in the previous exercise, let È be the bias of a coin, i.e., the probability of Heads at each toss. We assume that È is
5 answers
asked by
alec
5,379 views
Let Θ be a continuous random variable that represents the unknown bias (i.e., the probability of Heads) of a coin.
a) The prior
4 answers
asked by
Anonymous
3,618 views
Let Θ1, Θ2, W1, and W2 be independent standard normal random variables. We obtain two observations,
X1=Θ1+W1,X2=Θ1+Θ2+W2.
5 answers
asked by
Anonymous
5,707 views
Let Θ1 and Θ2 be some unobserved Bernoulli random variables and let X be an observation. Conditional on X=x, the posterior
5 answers
asked by
SPS
4,135 views
The lifetime of a type-A bulb is exponentially distributed with parameter λ. The lifetime of a type-B bulb is exponentially
10 answers
asked by
A
11,498 views
Of 500 employees of a firm 280 have a life insurance policy ,400 have a medical insurance cover and 200 participate in both
5 answers
asked by
Jackie
3,341 views
Let È be the bias of a coin, i.e., the probability of Heads at each toss. We assume that È is uniformly distributed on [0,1].
4 answers
asked by
alec
5,076 views
We have k coins. The probability of Heads is the same for each coin and is the realized value q of a random variable Q that is
9 answers
asked by
A
8,047 views
The random variables X and Y have a joint PDF of the form fX,Y(x,y)=c⋅exp{−12(4x2−8x+y2−6y+13)}
E[X]= var(X)= E[Y]=
5 answers
asked by
Ravi
4,411 views
Determine whether each of the following statement is true (i.e., always true) or false (i.e., not always true).
1. Let X be a
3 answers
asked by
RVE
3,786 views
Amy immigrated to a new city, and would like to make friends with her new neighbours.
On any particular day i, she feels shy with
13 answers
asked by
Mona
3,766 views
Suppose that X has a PDF of the form
f(x) {1/x^2 if x>= 1 { 0 otherwise For any x>2, the conditional PDF of X, given the event
5 answers
asked by
Sam
4,242 views
Sophia is vacationing in Monte Carlo. On any given night, she takes X dollars to the casino and returns with Y dollars. The
6 answers
asked by
amar
7,363 views
Let X and Y be two normal random variables, with means 0 and 3 , respectively, and variances 1 and 16 , respectively. Find the
4 answers
asked by
Adam
4,611 views
Solve the following defective rate problem using the concepts learned about the geometric distribution.
A machine that produces a
3 answers
asked anonymously
620 views
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