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Probability and Statistics
Page 4
Questions (4,622)
If you flip a coin 24 times, what is the best prediction possible for the number of times it will land on tails?
6 answers
asked by
Hala
1,836 views
A fair tetrahedral die (with face 1,2,3 and 4)and a fair coin are tosses together
Construct a table of sample space of a random
7 answers
asked by
Stephen
2,269 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
6,801 views
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions
5 answers
asked by
John
15,007 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
13,659 views
. There is a 10% chance it will rain on Saturday and a 30% chance it will rain on Sunday. What percent chance is there that it
5 answers
asked by
hannah
1,893 views
There is an octahedral (8-faces) die whose faces each have one different number from the set {1, 2, 3, 4, 5, 6, 7, 8}. The die
5 answers
asked by
Conner Kang
1,408 views
a) Predict the number of 6s you will get if you roll a number cube 30 times.
b) Predict the number of even numbers you will get
4 answers
asked by
Olivia
653 views
An ordinary die is thrown seven times.find the probability of obtaining exactly three sixes
4 answers
asked by
Kleen
1,135 views
The probability a pupil takes a bus to school is 0.3. If a sample of 10 pupils are chosen at random. Using binomial
4 answers
asked by
Chris
1,449 views
Cola Corporation produces Orange Cola. The filling machines are adjusted to pour 12 ounces of soda into each 12-ounce can.
5 answers
asked by
Steven
2,666 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
852 views
A letter is picked random from the word COMPUTER. What is the probability that it is neither in the word met nor in the word up
6 answers
asked by
Anonymous
1,170 views
In a survey of 300 college graduates, 58% reported that they entered a profession closely related to their college major. If 6
4 answers
asked by
Hannah
4,856 views
As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing,
3 answers
asked anonymously
399 views
Suppose that X and Y are described by a joint PDF which is uniform inside the unit circle, that is, the set of points that
9 answers
asked by
Anon
3,824 views
Question:A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of
5 answers
asked by
Zozina
6,120 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
5,115 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
5,701 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
4,404 views
Let Θ1, Θ2, W1, and W2 be independent standard normal random variables. We obtain two observations,
X1=Θ1+W1,X2=Θ1+Θ2+W2.
4 answers
asked by
AAA
3,953 views
Tickets numbered 1 to 1000 were sold in a raffle for which there was one prize. Mr Kahn bought all the tickets containing at
5 answers
asked by
Paige
3,263 views
How many ways can an IRS auditor select 3 of 11 tax returns for an audit?
There are 8 members on a board of directors. If they
5 answers
asked by
Ashley
4,461 views
Let X be a continuous random variable, uniformly distributed on some interval, and let Y = aX + b. The random variable will be a
4 answers
asked by
Anonymous
1,385 views
Each one of n persons, indexed by 1,2,…,n, has a clean hat and throws it into a box. The persons then pick hats from the box,
4 answers
asked by
qwerty
5,272 views
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then
25 answers
asked by
Anonymous
10,682 views
Suppose that X is an exponential random variable with parameter (and mean) equal to 1. Find the MAP estimate of X , given that
5 answers
asked by
CS
3,312 views
As in an earlier exercise, busy people arrive at the park according to a Poisson process with rate /hour. Relaxed people arrive
3 answers
asked by
Ali
1,417 views
Problem 4. Gaussian Random Variables
Let X be a standard normal random variable. Let Y be a continuous random variable such that
9 answers
asked by
infj
3,321 views
In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who
5 answers
asked by
Maddux
3,925 views
A school is holding a fundraising raffle. The first prize is $500, the five second prizes are $100 each, and the ten third
4 answers
asked by
Winny
2,120 views
1. You mix the letters: S E M I T R O P I C A and L thoroughly. Without looking you draw one letter. Find the probability that
109 answers
asked by
Rebekah
25,388 views
The newest invention of the 6.041x staff is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2
5 answers
asked by
qwerty
7,518 views
For all problems on this page, suppose you have data
X_1,\ldots ,X_ n \overset {\text {i.i.d.}}{\sim } \mathcal{N}(0,1) that is a
7 answers
asked anonymously
197 views
Which set of events is dependent?(1 point)
Responses the event of getting two heads when flipping two fair coins, the event of
2 answers
asked by
:(
125 views
Bowls A and B contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded the results
3 answers
asked by
Me
299 views
Three (3) scholars will be picked randomly from a set of qualifiers consisting of 2 girls and 4 boys. What is the probability
2 answers
asked by
Myst
96 views
A survey of 80 employees was conducted asking about which meals they regularly eat at the office. Twenty employees eat breakfast
2 answers
asked anonymously
239 views
Let X and Y be independent continuous random variables that are uniformly distributed on (0,1). Let H=(X+2)Y. Find the
5 answers
asked by
Diane Lin
2,523 views
Let Sn be the number of successes in n independent Bernoulli trials, where the probability of success at each trial is 1/3.
3 answers
asked by
Anonymous
2,267 views
Probability and statistics unit test part 1
2 answers
asked by
Kelly
221 views
Consider 10 independent tosses of a biased coin with the probability of Heads at each toss equal to p, where 0<p<1.
1. Let A be
6 answers
asked by
Johan
3,445 views
Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $34,000 and
5 answers
asked by
shannen
3,498 views
We have two fair three-sided dice, indexed by i=1,2. Each die has sides labelled 1, 2, and 3. We roll the two dice
5 answers
asked by
jon
7,299 views
Let X be a standard normal random variable. Let Y be a continuous random variable such that
fY|X(y|x)=1√2π*exp(−((y+2x)^2)/2
2 answers
asked anonymously
192 views
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55 Bowl B 60 40 Bowls A and B contain a number of white and
3 answers
asked by
jerem
122 views
A standard deck of 52 cards contains four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: ace, 2, 3, 4, 5,
3 answers
asked by
jerem
193 views
We saw that if we want to have a probability of at least 95% that the poll results are within 1 percentage point of the truth,
4 answers
asked by
Anonymous
880 views
Problem 1. Marie gives away children toys
Marie distributes toys for toddlers. She makes visits to households and gives away one
4 answers
asked by
Diane Lin
2,234 views
Problem 5. Arrivals during overlapping time intervals
Consider a Poisson process with rate lambda. Let N be the number of
3 answers
asked by
diogenes
1,951 views
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