The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
GATE Overflow
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
First time here? Checkout the
FAQ
!
x
×
Close
Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
here
Recent questions tagged randomvariable
0
votes
1
answer
1
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
asked
2 hours
ago
in
Mathematical Logic
by
learner_geek
Active
(
3.7k
points)

27
views
probability
engineeringmathematics
conditionalprobability
randomvariable
0
votes
1
answer
2
probability
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times.then the amount he wins______________(RS).
asked
7 hours
ago
in
Mathematical Logic
by
learner_geek
Active
(
3.7k
points)

15
views
probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
0
answers
3
Expected length Sheldon Ross
This is an example in the book (A First Course in Probability by Sheldon Ross). A stick of length 1 is split at a point U that is uniformly distributed over (0,1). Determine the expected length of the piece that contains the point 0≤p≤1 So, My doubt here ... according to proposition g(x) is Lp(U) , what is f(x) why f(x) is not multiplied. in calculating expected value.
asked
Jan 9
in
Probability
by
Sandy Sharma
Active
(
1.2k
points)

15
views
probability
sheldonross
randomvariable
+1
vote
0
answers
4
Continous Probability
Find the value of $\lambda$ such that function f(x) is valid probability density function $f(x)=\lambda (x1)(2x)$ for $1 \leq x \leq 2$ $=0$ otherwise My $\lambda$ is coming to be $ \frac{6}{5}$ Am I correct?
asked
Nov 15, 2018
in
Probability
by
Ayush Upadhyaya
Boss
(
23k
points)

100
views
probability
randomvariable
+1
vote
1
answer
5
Made easy workbook
Suppose the random variable X has the probability distribution given below: X 2 1 0 1 2 P(X=X) 0.25 0.20 0.15 0.35 0.05 Let $Y=(2*(X^2))+6$.The expected value E(Y) is: A) 9.5 B) 6. C )15.5. D )18
asked
Nov 8, 2018
in
Probability
by
Gaurangi Katiyar
(
235
points)

94
views
randomvariable
probability
0
votes
0
answers
6
Probability Gravner 82.c
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (c) How large should $n$ be so that the probability in(b) is larger than $0.99$?
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

50
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
7
Probability Gravner 82.b
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (b) Write down an approximation, in terms on $n$ and $\phi$, of the probability that $M$ differs from its expectation by less than $10$ %
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

45
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
8
Probability Gravner 82.a
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (a) Compute the expectation $EM$.
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

47
views
gravner
probability
engineeringmathematics
randomvariable
+1
vote
0
answers
9
Probability Gravner 81.b
Toss a fair coin twice. You win $1$ dollar if at least one of the two tosses comes out heads. (b) Approximately how many times do you need to play so that you win at least $250$ dollar with probability at least $0.99$.
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

31
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
10
Probability Gravner 81.a
Toss a fair coin twice. You win $1$ dollar if at least one of the two tosses comes out heads. (a) Assume that you play this game $300$ times. What is, approximately, the probability that you win at least $250$ dollar ?
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

28
views
probability
gravner
engineeringmathematics
randomvariable
+1
vote
0
answers
11
Probability Gravner 80.c
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) ... $M$ 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
by
Pooja Khatri
Active
(
5.1k
points)

25
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
12
Probability Gravner 80.b
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
by
Pooja Khatri
Active
(
5.1k
points)

23
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
13
Probability Gravner 80
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
by
Pooja Khatri
Active
(
5.1k
points)

20
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
0
answers
14
Probability Gravner 79.c
A random variable $X$ has the density function $f(x)= \begin{Bmatrix} c(x+\sqrt{x}) & x\epsilon [0,1]\\ 0& otherwise \end{Bmatrix}.$ (c) Determine the probability density function of $Y$ $=$ $X^2$
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

21
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
15
Probability Gravner 79.b
A random variable $X$ has the density function $f(x)= \begin{Bmatrix} c(x+\sqrt{x}) & x\epsilon [0,1]\\ 0& otherwise \end{Bmatrix}.$ (b) Compute $\text{E(1/X)}$.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

17
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
16
Probability Gravner 79.a
A random variable $X$ has the density function $f(x)= \begin{Bmatrix} c(x+\sqrt{x}) & x\epsilon [0,1]\\ 0& otherwise \end{Bmatrix}.$ (a) Determine c.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

32
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
1
answer
17
Probability Gravner 78
How many times do you need to toss a fair coin to get $100$ heads with probability $90$%?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

22
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
18
Probability Gravner 77
A roulette wheel has $38$ slots: $18$ red, $18$ red, $2$ green. The ball ends at one of these at random. You are a player who plays a large number of games and makes an even bet of $1$ dollar on red in every game. After $n$ games, what is the probability that you are ahead? Answer this for $n=100$ and $n= 1000$.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

12
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
2
answers
19
Probability Gravner 76
Assume that $X$ is Normal with mean $\mu$ $=$ $2$ and variance $\sigma^2$ $=$ $25$. Compute the probability that $X$ is between $1$ and $4$.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

111
views
probability
gravner
engineeringmathematics
randomvariable
normaldistribution
0
votes
1
answer
20
Probability Gravner 75.c
What is the probability that a Normal random variable differs from its mean $\mu$ by more than 3 $\sigma$ ?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

21
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
21
Probability Gravner 75.b
What is the probability that a Normal random variable differs from its mean $\mu$ by more than 2 $\sigma$ ?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

20
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
22
Probability Gravner 75.a
What is the probability that a Normal random variable differs from its mean $\mu$ by more than $\sigma$ ?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

25
views
gravner
probability
engineeringmathematics
randomvariable
normaldistribution
+1
vote
1
answer
23
Probability  Gravner74
Let X be a $N(\mu , \sigma^2)$ random variable and let $Y = \alpha X+\beta$, with $\alpha$ > $0$. How is $Y$ distributed?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

79
views
probability
gravner
engineeringmathematics
randomvariable
normaldistribution
0
votes
1
answer
24
Probability  Gravner73
Assume that a light bulb lasts on average $100$ hours. Assuming exponential distribution, compute the probability that it lasts more than $200$ hours and the probability that it lasts less than $50$ hours.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

42
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
25
Probability  Gravner72
A uniform random number $X$ divides $[0,1]$ into two segments. Let $R$ be the ratio of the smaller versus the larger segment. Compute the density of $R$.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
26
Probability  Gravner71
Assume that X is uniform on [0,1]. What is $P(X\epsilon Q)$? What is the probability that the binary expansion of X starts with 0.010?
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

12
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
27
Probability  Gravner70
Assume that X has density $fx(x) = \begin{Bmatrix} 3x^{2} &if(x\epsilon [0,1]), \\ 0& otherwise \end{Bmatrix}$ Compute the density fy of Y= 1X4
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
28
Probability  Gravner69.b
$f(x) = \begin{Bmatrix} cx & if (0<x<4) \\ 0 & otherwise \end{Bmatrix}$ (c) Determine EX and Var(X).
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

9
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
29
Probability  Gravner69.b
$f(x) = \begin{Bmatrix} cx & if (0<x<4) \\ 0 & otherwise \end{Bmatrix}$ (b) Compute $P(1\leqslant X\leqslant 2)$
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

9
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
30
Probability  Gravner69.a
$f(x) = \begin{Bmatrix} cx & if (0<x<4) \\ 0 & otherwise \end{Bmatrix}$ (a) Determine $c$.
asked
Sep 26, 2018
in
Probability
by
Pooja Khatri
Active
(
5.1k
points)

8
views
gravner
probability
engineeringmathematics
randomvariable
Page:
1
2
3
4
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
PSU's
Decidability Slides
AAI JE IT results out! Adv no 02/2018
Graph Theory Slides for GATECSE
Generating Function Useful Link
Follow @csegate
Gatecse
Recent questions tagged randomvariable
Recent Blog Comments
Thank you, lots of things got clear!
Those who have given yes. But those with 10000+...
47,072
questions
51,328
answers
177,568
comments
66,668
users