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Recent questions tagged randomvariable
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Discrete random variable
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Feb 20
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Probability
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Na462
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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.
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Feb 19
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Probability
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Na462
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26
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Ace Test Series: Probability  Uniform Distribution
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Feb 2
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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 27
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Operating System
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Ashish Goyal
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423
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33
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probability
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5
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.
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Jan 21
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Probability
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learner_geek
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61
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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?
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Jan 20
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Mathematical Logic
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learner_geek
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188
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7
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).
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Jan 20
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Mathematical Logic
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learner_geek
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45
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8
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.
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Jan 9
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Sandy Sharma
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29
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Testbook Test Series: Probability  Random Variable
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Nov 18, 2018
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monty
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70
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10
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
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Probability
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Ayush Upadhyaya
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25.3k
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110
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1
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11
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
(
253
points)

99
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randomvariable
probability
0
votes
0
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12
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
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Pooja Khatri
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10.5k
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59
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probability
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0
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1
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13
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 $10$ %
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Sep 27, 2018
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Probability
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Pooja Khatri
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10.5k
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52
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0
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1
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14
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
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Pooja Khatri
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10.5k
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56
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gravner
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15
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
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Pooja Khatri
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10.5k
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33
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0
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16
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
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10.5k
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30
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probability
gravner
engineeringmathematics
randomvariable
+1
vote
0
answers
17
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
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10.5k
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29
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probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
18
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
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10.5k
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36
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probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
answer
19
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
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10.5k
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31
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probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
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20
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
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(
10.5k
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24
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
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answers
21
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
Boss
(
10.5k
points)

19
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
22
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
Boss
(
10.5k
points)

33
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
1
answer
23
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
Boss
(
10.5k
points)

29
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
24
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
Boss
(
10.5k
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14
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
2
answers
25
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
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(
10.5k
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133
views
probability
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engineeringmathematics
randomvariable
normaldistribution
0
votes
1
answer
26
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
Boss
(
10.5k
points)

25
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
27
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
Boss
(
10.5k
points)

26
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
28
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
Boss
(
10.5k
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37
views
gravner
probability
engineeringmathematics
randomvariable
normaldistribution
+2
votes
1
answer
29
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
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Pooja Khatri
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10.5k
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94
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probability
gravner
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normaldistribution
0
votes
1
answer
30
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
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Pooja Khatri
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10.5k
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45
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