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Recent questions and answers in Probability
38
votes
6
answers
1
GATE CSE 2017 Set 2 | Question: 31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain ... . The expectation of $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone
Shakir Ahmad
answered
in
Probability
6 days
ago
by
Shakir Ahmad
12.1k
views
gatecse-2017-set2
probability
random-variable
difficult
35
votes
5
answers
2
GATE CSE 2014 Set 1 | Question: 48
Four fair six-sided dice are rolled. The probability that the sum of the results being $22$ is $\dfrac{X}{1296}$. The value of $X$ is _______
Argharupa Adhikary
answered
in
Probability
Sep 21
by
Argharupa Adhikary
6.2k
views
gatecse-2014-set1
probability
numerical-answers
normal
53
votes
3
answers
3
GATE CSE 2014 Set 1 | Question: 2
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
Abhrajyoti00
answered
in
Probability
Sep 18
by
Abhrajyoti00
13.5k
views
gatecse-2014-set1
probability
uniform-distribution
expectation
numerical-answers
normal
2
votes
3
answers
4
GATE Overflow | Mock GATE | Test 1 | Question: 53
A class of first year B.tech students is composed of four batches A, B, C and D, each consisting of $30$ students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of $6.6$ and standard deviation of $2.3$. ... this, the marks of a student in batch C are changed from $8.5$ to $8.75$ $7.45$ $9.27$ $8.97$
MANSI_SOMANI
answered
in
Probability
Sep 13
by
MANSI_SOMANI
661
views
go-mockgate-1
engineering-mathematics
probability
statistics
0
votes
1
answer
5
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.
shishir__roy
answered
in
Probability
Sep 10
by
shishir__roy
86
views
probability
sheldon-ross
conditional-probability
12
votes
4
answers
6
GATE CSE 2021 Set 2 | Question: 29
In an examination, a student can choose the order in which two questions ($\textsf{QuesA}$ and $\textsf{QuesB}$) must be attempted. If the first question is answered wrong, the student gets zero marks. If the first question is answered correctly and the ... $22$. First $\textsf{QuesA}$ and then $\textsf{QuesB}$. Expected marks $16$.
AKASH DEBNATH
answered
in
Probability
Sep 3
by
AKASH DEBNATH
3.2k
views
gatecse-2021-set2
probability
expectation
22
votes
6
answers
7
GATE CSE 1994 | Question: 2.6
The probability of an event $B$ is $P_1$. The probability that events $A$ and $B$ occur together is $P_2$ while the probability that $A$ and $\bar{B}$ occur together is $P_3$. The probability of the event $A$ in terms of $P_1, P_2$ and $P_3$ is _____________
TusharRana
answered
in
Probability
Aug 28
by
TusharRana
2.9k
views
gate1994
probability
normal
conditional-probability
fill-in-the-blanks
0
votes
2
answers
8
maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?
Kabir5454
answered
in
Probability
Aug 15
by
Kabir5454
176
views
probability
0
votes
1
answer
9
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 2, Problems, 18.
A deck consists of 52 playing cards which is well shuffled. Draw 6 cards. Find the probability that among the cards there will be a representative of all suits? can someone get to this answer –-→ 6283420/20358520
Arjun
answered
in
Probability
Jul 29
by
Arjun
110
views
probability
sheldon-ross
1
vote
0
answers
10
maths
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card ?
closed
jugnu1337
asked
in
Probability
Jul 19
by
jugnu1337
70
views
discrete-mathematics
probability
60
votes
7
answers
11
GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
Arkaprava
answered
in
Probability
Jul 18
by
Arkaprava
17.0k
views
gateit-2005
probability
binomial-distribution
expectation
normal
30
votes
3
answers
12
GATE IT 2005 | Question: 1
A bag contains $10$ blue marbles, $20$ green marbles and $30$ red marbles. A marble is drawn from the bag, its colour recorded and it is put back in the bag. This process is repeated $3$ ... $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{3}\right)$
Oaesp
answered
in
Probability
Jun 27
by
Oaesp
6.0k
views
gateit-2005
probability
normal
1
vote
1
answer
13
GATE Suitability Test | Test 1 | Question: 3
A coin is such that after every toss the probability of same side coming again increases by $50\%$ from the initial value. If initially the probability of head and tail are the same, what is the expected number of tosses until we get a head?
Arjun
answered
in
Probability
Jun 9
by
Arjun
92
views
gate-suitability-test-1
expectation
probability
numerical-answers
1
vote
2
answers
14
GATE Suitability Test | Test 1 | Question: 5
In a group of 11 people what is the probability that exactly two people have birthday on same day ?
khushitshah
answered
in
Probability
Jun 7
by
khushitshah
143
views
gate-suitability-test-1
probability
0
votes
1
answer
15
ISI Kolkata | MMA | 2022 --- A lie detector determines correctly ....
Picture of question
Kabir5454
answered
in
Probability
Jun 7
by
Kabir5454
114
views
isi
probability
engineering-mathematics
69
votes
15
answers
16
GATE CSE 2012 | Question: 33
Suppose a fair six-sided die is rolled once. If the value on the die is $1, 2,$ or $3,$ the die is rolled a second time. What is the probability that the sum total of values that turn up is at least $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$
adithya_nayak
answered
in
Probability
Jun 3
by
adithya_nayak
16.5k
views
gatecse-2012
probability
conditional-probability
normal
1
vote
0
answers
17
ISI2020-PCB-10
Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i=1}^{n^2} X_i=T_n$ and $\sum_{i=1}^{n^2} Y_i=S_n$ (say). Find the limiting distribution of $\frac{T_n}{S_n}$ as $n\to \infty$.
sd4867
asked
in
Probability
May 6
by
sd4867
87
views
probability
statistics
2
votes
3
answers
18
NIELIT 2016 MAR Scientist B - Section B: 16
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be $100\%$ $50\%$ $49\%$ None of these.
33
answered
in
Probability
Mar 16
by
33
611
views
nielit2016mar-scientistb
engineering-mathematics
probability
3
votes
1
answer
19
Gate 2002 Question with a change.
A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with out replacement. The probability that none of the two screws is defective will be .. This is a same question from Gate 2002, but it is having a small change, can anyone help me to find method to find it's answer.
Kabir5454
answered
in
Probability
Mar 8
by
Kabir5454
238
views
probability
0
votes
1
answer
20
TIFR 2011
There are N boxes, each containing at most r balls. If the number of boxes containing at least i balls is $N_{i}$ for i = 1,2,...r, then the total number of balls contained in these N boxes (A) is exactly equal to $N_{1}$ +$N_{2}$ +...+$N_{r}$. (B) is strictly ... ...+$N_{r}$. (C) is strictly smaller than $N_{1}$ +$N_{2}$ +...+$N_{r}$. (D) cannot be determined from the given information
Aditya_
answered
in
Probability
Feb 24
by
Aditya_
229
views
probability
33
votes
5
answers
21
GATE CSE 2011 | Question: 18
If the difference between the expectation of the square of a random variable $\left(E\left[X^2\right]\right)$ and the square of the expectation of the random variable $\left(E\left[X\right]\right)^2$ is denoted by $R$, then $R=0$ $R<0$ $R\geq 0$ $R > 0$
Nitesh_Yadav
answered
in
Probability
Feb 23
by
Nitesh_Yadav
6.5k
views
gatecse-2011
probability
random-variable
expectation
normal
0
votes
1
answer
22
CMI-2021-Data Science
In the finale of the Indian Idol programme, Ladies Special, there are four women contestants - Arunima, Priyamani, Razi and Shriya. The organisers send all participants a list of 7 songs, asking each one to pick one song for the finale. All the four ... allowed to pick that song. This is agreed to. What is the probability that Shriya gets to sing the song Pyar Hua Chupkese?
Kabir5454
answered
in
Probability
Feb 21
by
Kabir5454
289
views
probability
0
votes
1
answer
23
Probability
Use the following data. Have pets Do not have pets Total Men 0.41 0.08 0.49 Women 0.45 0.06 0.51 Total 0.86 0.14 1 What is the probability of a randomly selected person being a man, given that they do not own a pet? What is the probability for a woman to be a pet owner? How likely is that a randomly selected person is a pet owner man?
Aditya_
answered
in
Probability
Feb 11
by
Aditya_
206
views
conditional-probability
0
votes
0
answers
24
Probability
A survey was conducted with recent MBAs of two different universities about their annual incomes. The following table displays data collected. Annual Income University X University Y Total Under 8L 36 24 60 8L to 12L 109 56 165 12L and above 35 40 75 Total ... the probability that an MBA gets salary less than 8L? What is the probability that an MBA from university Y earns 10L annually?
__medhaa
asked
in
Probability
Feb 9
by
__medhaa
215
views
probability
conditional-probability
2
votes
1
answer
25
Applied Grand Test 10
The Netherlands is one of the world leaders in the production and sale of tulips. Suppose the heights of the tulips in the green house of rotterdams fantastic flora follow a continuous uniform distribution with lower bound of 7 inches and upper bound ... greater than 10 inches may be selected. What is the probability that a randomly selected tulip is tall enough to pick ____
LRU
asked
in
Probability
Jan 27
by
LRU
225
views
test-series
engineering-mathematics
probability
uniform-distribution
1
vote
0
answers
26
GATE Applied Mock Test
3 -1 1 2
yashpaneliya
asked
in
Probability
Jan 24
by
yashpaneliya
224
views
probability
normal-distribution
random-variable
variance
0
votes
1
answer
27
Applied Mock Test
Among individuals who have sustained head injuries, x-rays reveal that only about 6% have skull fractures. Nausea is a standard symptom of a skull fracture and occurs in 98% of all skull fracture cases with other types of head injuries, nausea is present ... an individual who has just suffered a head injury is not nauseous. Find the probability that he has a skull fracture _____
LRU
asked
in
Probability
Dec 29, 2021
by
LRU
212
views
test-series
probability
engineering-mathematics
0
votes
1
answer
28
if a 3 digit number
if a 3 digit number is randomly chosen what is the probability that either the number or some permutation of the number (which is a 3 digit number ) is divisible by 4 and 5
Sanjay Sharma
asked
in
Probability
Dec 27, 2021
by
Sanjay Sharma
200
views
combinatory
0
votes
1
answer
29
Conditional Probability
The above-given problem is from MIT-OCW probability - https://tinyurl.com/25wamnxz There are two biased coins - A and B. The probability of choosing either coin is 0.5. Once the coins are chosen, we perform the experiment of tossing the coins as shown in the ... probability of (A | B) i.e. if we get 10 successive heads, then what is the probability that coin A was chosen?
allSystemsDown
asked
in
Probability
Dec 26, 2021
by
allSystemsDown
263
views
probability
conditional-probability
0
votes
1
answer
30
Testbook Test Series
rsansiya111
asked
in
Probability
Dec 18, 2021
by
rsansiya111
140
views
testbook-test-series
0
votes
0
answers
31
Testbook Quiz
rsansiya111
asked
in
Probability
Dec 14, 2021
by
rsansiya111
87
views
testbook-test-series
0
votes
1
answer
32
Testbook Quiz
rsansiya111
asked
in
Probability
Dec 14, 2021
by
rsansiya111
102
views
testbook-test-series
0
votes
0
answers
33
Testbook Quiz
rsansiya111
asked
in
Probability
Dec 14, 2021
by
rsansiya111
107
views
testbook-test-series
0
votes
1
answer
34
Testbook Quiz
rsansiya111
asked
in
Probability
Dec 14, 2021
by
rsansiya111
114
views
testbook-test-series
0
votes
1
answer
35
CMI-2021-Data Science
rsansiya111
asked
in
Probability
Dec 9, 2021
by
rsansiya111
120
views
probability
1
vote
1
answer
36
CMI-2021-Data Science
rsansiya111
asked
in
Probability
Dec 9, 2021
by
rsansiya111
157
views
probability
0
votes
0
answers
37
NPTEL Assignment Question
in a class we ask the students their birthdays; one-by-one. continue till a date repeats. (Assume that there are 365 dates.) Let x := #students asked. What is P (x = k) =?, for $k \epsilon n$
rsansiya111
asked
in
Probability
Dec 7, 2021
by
rsansiya111
117
views
nptel-quiz
0
votes
0
answers
38
NPTEL Assignment Question
The length of a door handle (in cm), manufactured by a factory, is normally distributed with µ = 6.0 and σ = 0.2 . The place to fix on the door can allow error in length up to 0.3 cm. What percentage of handles manufactured in the factory will be defective? How much should be the value of σ , so that the number of defectives in reduced to only 5%?
rsansiya111
asked
in
Probability
Dec 6, 2021
by
rsansiya111
90
views
nptel-quiz
1
vote
0
answers
39
NPTEL Assignment Question
A survey of people in given region showed that 25% drank regularly. The probability of death due to liver disease, given that a person drank regularly, was 6 times the probability of death due to liver disease, given that a person did not drink regularly. ... in the region is 0.005. If a person dies due to liver disease what is the probability that he/she drank regularly?
rsansiya111
asked
in
Probability
Dec 6, 2021
by
rsansiya111
115
views
nptel-quiz
iit
0
votes
1
answer
40
#GATECSE
Most of the online video materials that I've come across for Engineering Mathematics are mainly focused on question-solving. They don't clear out the basic concepts, without which it's quite difficult to gain proficiency in problem-solving. What is the ... follow for engineering mathematics with respect to GATE CS/IT branch? or any other source where the basic concepts will get cleared.
dutta007sourish
asked
in
Probability
Dec 1, 2021
by
dutta007sourish
216
views
engineering-mathematics
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