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Recent questions tagged randomvariable
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1
ISI2015MMA51
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals $\frac{1}{n}$ $\frac{2}{n}$ $\frac{1}{n1}$ $\frac{1}{n2}$
asked
Sep 24, 2019
in
Probability
by
Arjun

146
views
isi2015mma
probability
randomvariable
combinatory
+1
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1
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2
Sheldon Ross, Chapter# 4 RANDOM VARIABLES, Q.51 (9th edition page#167)
If a student copies his assignments from his friend he would get 80 marks. If he had done the assignments independently he would have scored 50 marks out of 100 and if the teacher finds he is cheating he ... , what is the probability that he will lose more marks with copying than by doing his independent work independently?
asked
May 28, 2019
in
Probability
by
Asim Siddiqui 4

220
views
probability
sheldonross
randomvariable
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A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
asked
May 27, 2019
in
Probability
by
Asim Siddiqui 4

152
views
probability
sheldonross
randomvariable
+1
vote
1
answer
4
Sheldon Ross, Chapter #4, Question #13
An airline operates a flight having 50 seats. As they expect some passenger to not show up, they overbook the flight by selling 51 tickets. The probability that an individual passenger will not show up is 0.01, independent of all other ... the airline has to pay a compensation of Rs.1lakh to that passenger. What is the expected revenue of the airline?
asked
May 21, 2019
in
Probability
by
Asim Siddiqui 4

140
views
probability
randomvariable
sheldonross
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votes
0
answers
5
Discrete random variable
asked
Feb 20, 2019
in
Probability
by
Na462

123
views
probability
randomvariable
engineeringmathematics
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votes
0
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6
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
asked
Feb 19, 2019
in
Probability
by
Na462

103
views
engineeringmathematics
randomvariable
0
votes
1
answer
7
Ace Test Series: Probability  Uniform Distribution
asked
Feb 2, 2019
in
Probability
by
Na462

273
views
randomvariable
probability
expectation
uniformdistribution
acetestseries
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0
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8
GeeksforGeeks
Suppose that the running time for each process in milliseconds is an exponential random variable with parameter λ=1/20. If process P1 arrives immediately ahead of the process P2 in the running state, then the probability that process P2 will have to wait more than 20 milliseconds is ... . A 0.274 B 0.324 C 0.428 D 0.368 How to approach this. even not able to understand the question.
asked
Jan 28, 2019
in
Operating System
by
Ashish Goyal

58
views
engineeringmathematics
randomvariable
probability
0
votes
0
answers
9
probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
asked
Jan 21, 2019
in
Probability
by
learner_geek

124
views
probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
2
answers
10
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
Jan 21, 2019
in
Mathematical Logic
by
learner_geek

529
views
probability
engineeringmathematics
conditionalprobability
randomvariable
0
votes
1
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11
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
Jan 20, 2019
in
Mathematical Logic
by
learner_geek

136
views
probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
0
answers
12
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 ... according to proposition g(x) is Lp(U) , what is f(x) why f(x) is not multiplied. in calculating expected value.
asked
Jan 10, 2019
in
Probability
by
Sandy Sharma

109
views
probability
sheldonross
randomvariable
0
votes
0
answers
13
Testbook Test Series: Probability  Random Variable
asked
Nov 18, 2018
in
Probability
by
monty

114
views
testbooktestseries
engineeringmathematics
probability
randomvariable
+1
vote
0
answers
14
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

142
views
probability
randomvariable
+1
vote
1
answer
15
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 9, 2018
in
Probability
by
Gaurangi Katiyar

136
views
randomvariable
probability
0
votes
0
answers
16
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 28, 2018
in
Probability
by
Pooja Khatri

88
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
17
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 28, 2018
in
Probability
by
Pooja Khatri

79
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
18
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 28, 2018
in
Probability
by
Pooja Khatri

90
views
gravner
probability
engineeringmathematics
randomvariable
+1
vote
0
answers
19
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 28, 2018
in
Probability
by
Pooja Khatri

56
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
20
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 28, 2018
in
Probability
by
Pooja Khatri

57
views
probability
gravner
engineeringmathematics
randomvariable
+1
vote
0
answers
21
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 28, 2018
in
Probability
by
Pooja Khatri

63
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
22
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 28, 2018
in
Probability
by
Pooja Khatri

68
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
23
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 28, 2018
in
Probability
by
Pooja Khatri

77
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
24
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 27, 2018
in
Probability
by
Pooja Khatri

80
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
25
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 27, 2018
in
Probability
by
Pooja Khatri

39
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
26
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 27, 2018
in
Probability
by
Pooja Khatri

58
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
1
answer
27
Probability Gravner 78
How many times do you need to toss a fair coin to get $100$ heads with probability $90$%?
asked
Sep 27, 2018
in
Probability
by
Pooja Khatri

56
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
28
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 27, 2018
in
Probability
by
Pooja Khatri

28
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
2
answers
29
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 27, 2018
in
Probability
by
Pooja Khatri

217
views
probability
gravner
engineeringmathematics
randomvariable
normaldistribution
0
votes
1
answer
30
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 27, 2018
in
Probability
by
Pooja Khatri

46
views
probability
gravner
engineeringmathematics
randomvariable
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