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Recent questions tagged probability
Webpage for Probability
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GATE ME 2018 Normal Distribution
Let X1, X2 be two independent normal random variables with means p1, p2 and standard deviations a1, a2 respectively. Consider Y =X1X2; µ1=µ2=1, σl=1, σ2=2. Then. (a) Y is normal distributed with mean 0 and variance 1 (b) Y is normally ... Y has mean 0 and variance 5, but is NOT normally distributed (d) Y has mean 0 and variance 1, but is NOT normally distributed
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2 days
ago
in
Probability
by
aditi19
Junior
(
863
points)

20
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probability
normaldistribution
+1
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1
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2
whichever is sooner
You roll two fair dice. If the sum of the numbers shown is 7 or 11, you win; if it is 2, 3, or 12, you lose. If it is any other number j, you continue to roll two dice until the sum is j or 7, whichever is sooner. If it is 7, you lose; if it is j, you win. What is the probability p that you win? Reference : Elementary probability by David Stirzaker
asked
Oct 9
in
Combinatory
by
MIRIYALA JEEVAN KUMA
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2.2k
points)

25
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probability
+1
vote
0
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3
Each player drops out of the game immediately upon throwing a six.
asked
Oct 9
in
Combinatory
by
MIRIYALA JEEVAN KUMA
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2.2k
points)

4
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probability
0
votes
0
answers
4
Four cups and saucers
A tea set has four cups and saucers with two cups and saucers in each of two different colours. If the cups are placed at random on the saucers, what is the probability that no cup is on a saucer of the same colour?
asked
Oct 9
in
Combinatory
by
MIRIYALA JEEVAN KUMA
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2.2k
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5
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probability
permutationsandcombinations
+1
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0
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5
Probability of missing the bus
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
in
Probability
by
Mk Utkarsh
Boss
(
20.1k
points)

54
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probability
uniformdistribution
+1
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0
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6
TestBook Probability
Consider the production of iron rods having diameter X which is normally distributed with mean 2 in. and standard deviation 0.008 in. Using $\phi$(0.25) = 0.99, where $\phi$ is the cumulative distribution function (c.d.f.) of a standard normal ... standard deviation 1, the percentage of defectives we can expect if we set the tolerance limits at 2 0.02 in is _______ .
asked
Oct 4
in
Probability
by
Mk Utkarsh
Boss
(
20.1k
points)

33
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testbooktestseries
probability
0
votes
0
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7
InclusionExclusion
$N$ people toss their hat into a bin, randomly shuffled, returned one hat to each person. What is the probability that $5$th person got his own hat?
asked
Oct 4
in
Probability
by
srestha
Veteran
(
98.4k
points)

57
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discretemathematics
probability
inclusionexclusion
+1
vote
1
answer
8
Birthday Paradox
In a room of $23$ people what is the probability that $2$ of. them has a birthday in common?
asked
Oct 4
in
Probability
by
srestha
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98.4k
points)

81
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probability
birthday
0
votes
0
answers
9
ME2018 Set 1 Probability
A six faced fair dice is rolled five times. what is the probability of obtaining "ONE" atleast 4 times?
asked
Sep 27
in
Probability
by
aditi19
Junior
(
863
points)

38
views
gate2018analysis
probability
0
votes
0
answers
10
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
in
Probability
by
Pooja Khatri
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(
4.3k
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18
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
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11
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
in
Probability
by
Pooja Khatri
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4.3k
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9
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
12
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
in
Probability
by
Pooja Khatri
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4.3k
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13
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
0
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13
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
in
Probability
by
Pooja Khatri
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4.3k
points)

12
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
14
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
in
Probability
by
Pooja Khatri
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4.3k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
15
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
16
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

3
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
17
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

4
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
18
GATE 200724, https://gateoverflow.in/1222/gate200724
asked
Sep 27
in
Probability
by
sakharam
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2.3k
points)

37
views
probability
0
votes
0
answers
19
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
in
Probability
by
Pooja Khatri
Active
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4.3k
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7
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
20
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

4
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
21
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

14
views
gravner
probability
engineeringmathematics
randomvariable
0
votes
1
answer
22
Probability Gravner 78
How many times do you need to toss a fair coin to get $100$ heads with probability $90$%?
asked
Sep 26
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

11
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
23
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

2
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
2
answers
24
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

20
views
probability
gravner
engineeringmathematics
randomvariable
normaldistribution
0
votes
1
answer
25
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
1
answer
26
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

5
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
27
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

4
views
gravner
probability
engineeringmathematics
randomvariable
+1
vote
0
answers
28
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

8
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
29
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
points)

5
views
probability
gravner
engineeringmathematics
randomvariable
0
votes
0
answers
30
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
in
Probability
by
Pooja Khatri
Active
(
4.3k
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2
views
probability
gravner
engineeringmathematics
randomvariable
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