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Recent questions tagged uniform-distribution

8 votes
2 answers
1
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is______________
asked Feb 12, 2020 in Probability Arjun 5.4k views
0 votes
0 answers
2
Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of the particle be denoted by $\overrightarrow{\pi}.$ In the first step, if the particle is at position $i,$ it moves to one ... $i\neq 1$ $\overrightarrow{\pi}(n) = 1$ and $\overrightarrow{\pi}(i) = 0$ for $i\neq n$
asked Feb 10, 2020 in Probability Lakshman Patel RJIT 266 views
21 votes
3 answers
3
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
asked Feb 7, 2019 in Probability Arjun 9k views
1 vote
0 answers
5
1 vote
0 answers
6
You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$. What is the probability of you missing the bus?
asked Oct 5, 2018 in Probability Mk Utkarsh 268 views
1 vote
1 answer
7
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval. (c) Assume that you know in advance ... . Let $M$ be the amount of time of the show that you miss because of th call. Compute the expected value of $M$.
asked Sep 27, 2018 in Probability Pooja Khatri 216 views
0 votes
1 answer
8
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval (b) At $8.30$, the call still hasn't arrived. What is the probability that it arrives in the next $10$ minutes?
asked Sep 27, 2018 in Probability Pooja Khatri 164 views
0 votes
1 answer
9
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval. (a) Compute the probability that the call arrives between $8.30$ and $8.20$.
asked Sep 27, 2018 in Probability Pooja Khatri 225 views
0 votes
0 answers
10
According to Universality of Uniform , We can get from the uniform distribution to the other distributions and also from other distributions back to the uniform distribution. Please explain how we would simulate from one distribution to other distribution ?
asked May 6, 2018 in Probability ankitgupta.1729 272 views
4 votes
1 answer
11
Suppose that $X$ is chosen uniformly from $\{1,2,\ldots,100\}$ and given $X =x$, $Y$ is chosen uniformly from $\{1,2,\ldots,x\}. $Then $P(Y = 30)=$ $\dfrac{1}{100}$ $\dfrac{1}{100} \times \left(\dfrac{1}{30} + \ldots+\dfrac{1}{100}\right)$ $\dfrac{1}{30}$ $\dfrac{1}{100} \times \left(\dfrac{1}{1} + \ldots +\dfrac{1}{30}\right)$
asked Mar 27, 2018 in Probability jjayantamahata 872 views
2 votes
1 answer
12
Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops). Consider the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time in minutes for the vehicle at the junction is _________
asked Jun 28, 2017 in Probability Amitesh Sharma 3.1k views
3 votes
1 answer
13
The average number of donuts a nine-year old child eats per month is uniformly distributed from 0.5 to 4 donuts, inclusive. Let X= the average number of donuts a nine-year-old child eats per month. Then X~∪(0.5,4) The probability that a different nine-year-old child eats an average of more than two donuts given that his or her amount is more than 1.5 donuts is ________. 4/5 1/5 2/5 3/5
asked Dec 11, 2016 in Mathematical Logic Neal Caffery 327 views
3 votes
1 answer
14
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]
asked Nov 17, 2016 in Mathematical Logic vaishali jhalani 374 views
0 votes
1 answer
15
In the cartesian plane, selection of a point P along the y axis in [0,2] is uniformly random. Similarly selection of a point Q along the x axis in [0,2] also uniformly distributed. What is the probability of the area of the triangle POQ to be less than or equal to 1, where O is the origin ?
asked Sep 15, 2016 in Probability dd 759 views
2 votes
1 answer
16
In cartesian co-ordinate system,along the x axis two points p and q are selected uniformly at random in $\left [ 0,L \right ]$ where L > 0. What is the probability of $\text{distance(p,q)} \leq \frac{L}{4}$.
asked Sep 15, 2016 in Probability dd 407 views
1 vote
3 answers
17
Question A subway train in a certain line runs after every half hour, between every midnight and 6 in the morning. What is the probability that a man entering the station at random will have to wait at least 20 minutes? I'm stuck here... It can be solved using ... ? in this case what is the upper limit of the integral ? URL : https://www.assignmentexpert.com/homework-answers/Math-Answer-40654.pdf
asked Jun 18, 2016 in Probability pC 2.2k views
6 votes
2 answers
18
Consider two independent and identically distributed random variables $X$ and $Y$ uniformly distributed in $[0, 1]$. For $\alpha \in \left[0, 1\right]$, the probability that $\alpha$ max $(X, Y) < XY$ is $1/ (2\alpha)$ exp $(1 - \alpha)$ $1 - \alpha$ $(1 - \alpha)^{2}$ $1 - \alpha^{2}$
asked Dec 5, 2015 in Probability makhdoom ghaya 814 views
4 votes
1 answer
19
Consider three independent uniformly distributed (taking values between $0$ and $1$) random variables. What is the probability that the middle of the three values (between the lowest and the highest value) lies between $a$ and $b$ where $0 ≤ a < b ≤ 1$? $3 (1 - b) a (b - a)$ $3 ((b - a) - (b^{2}- a^{2})/2)$ $6 (1 - b) a (b - a)$ $(1 - b) a (b - a)$ $6 ((b^{2}- a^{2})/ 2 - (b^{3} - a^{3})/3)$.
asked Nov 5, 2015 in Probability makhdoom ghaya 602 views
46 votes
2 answers
20
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
asked Sep 26, 2014 in Probability Arjun 10.6k views
24 votes
3 answers
21
Two friends agree to meet at a park with the following conditions. Each will reach the park between 4:00 pm and 5:00 pm and will see if the other has already arrived. If not, they will wait for 10 minutes or the end of the hour whichever is earlier and leave. What is the probability that the two will not meet?
asked Sep 26, 2014 in Probability Kathleen 3k views
30 votes
12 answers
22
Suppose we uniformly and randomly select a permutation from the $20 !$ permutations of $1, 2, 3\ldots ,20.$ What is the probability that $2$ appears at an earlier position than any other even number in the selected permutation? $\left(\dfrac{1}{2} \right)$ $\left(\dfrac{1}{10}\right)$ $\left(\dfrac{9!}{20!}\right)$ None of these
asked Sep 22, 2014 in Probability Kathleen 9k views
18 votes
4 answers
23
A point is randomly selected with uniform probability in the $X-Y$ plane within the rectangle with corners at $(0,0), (1,0), (1,2)$ and $(0,2).$ If $p$ is the length of the position vector of the point, the expected value of $p^{2}$ is $\left(\dfrac{2}{3}\right)$ $\quad 1$ $\left(\dfrac{4}{3}\right)$ $\left(\dfrac{5}{3}\right)$
asked Sep 19, 2014 in Probability Kathleen 5.6k views
17 votes
6 answers
24
Two $n$ bit binary strings, $S_1$ and $S_2$ are chosen randomly with uniform probability. The probability that the Hamming distance between these strings (the number of bit positions where the two strings differ) is equal to $d$ is $\dfrac{^{n}C_{d}}{2^{n}}$ $\dfrac{^{n}C_{d}}{2^{d}}$ $\dfrac{d}{2^{n}}$ $\dfrac{1}{2^{d}}$
asked Sep 19, 2014 in Probability Kathleen 4k views
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