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Recent questions tagged randomvariable
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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?
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May 28
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A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
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May 27
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Probability
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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?
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May 21
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Probability
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Asim Siddiqui 4
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67
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probability
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Discrete random variable
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Feb 20
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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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Na462
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34
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Ace Test Series: Probability  Uniform Distribution
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Feb 2
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Probability
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Na462
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122
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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.
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Jan 27
in
Operating System
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Ashish Goyal
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417
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39
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probability
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8
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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72
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9
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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232
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10
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
in
Mathematical Logic
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learner_geek
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3.2k
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54
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probability
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conditionalprobability
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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 9
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Probability
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Sandy Sharma
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49
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12
Testbook Test Series: Probability  Random Variable
asked
Nov 18, 2018
in
Probability
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monty
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835
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82
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13
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?
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Nov 15, 2018
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Probability
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Ayush Upadhyaya
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113
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14
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
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189
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103
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randomvariable
probability
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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 $0.99$?
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Sep 27, 2018
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Probability
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Pooja Khatri
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10.8k
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65
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probability
gravner
engineeringmathematics
randomvariable
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16
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
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Pooja Khatri
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10.8k
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58
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probability
gravner
engineeringmathematics
randomvariable
0
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17
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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10.8k
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60
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gravner
probability
engineeringmathematics
randomvariable
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18
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 $0.99$.
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Sep 27, 2018
in
Probability
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Pooja Khatri
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10.8k
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37
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probability
gravner
engineeringmathematics
randomvariable
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19
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
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Pooja Khatri
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10.8k
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35
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probability
gravner
engineeringmathematics
randomvariable
+1
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20
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
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Pooja Khatri
Boss
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10.8k
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33
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
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21
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
Boss
(
10.8k
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44
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probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
votes
1
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22
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
Boss
(
10.8k
points)

39
views
probability
gravner
engineeringmathematics
randomvariable
uniformdistribution
0
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0
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23
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
Boss
(
10.8k
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28
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
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24
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
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Pooja Khatri
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10.8k
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21
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
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25
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
(
10.8k
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36
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
1
answer
26
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
(
10.8k
points)

33
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
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27
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
(
10.8k
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15
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probability
gravner
engineeringmathematics
randomvariable
0
votes
2
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28
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
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Pooja Khatri
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10.8k
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144
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probability
gravner
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randomvariable
normaldistribution
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1
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29
Probability Gravner 75.c
What is the probability that a Normal random variable differs from its mean $\mu$ by more than 3 $\sigma$ ?
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Sep 26, 2018
in
Probability
by
Pooja Khatri
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10.8k
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29
views
probability
gravner
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randomvariable
0
votes
1
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30
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
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10.8k
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29
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probability
gravner
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