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Recent questions tagged probability
Webpage for Probability
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1
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
in
Probability
by
Asim Siddiqui 4
Junior
(
809
points)

13
views
probability
randomvariable
sheldonross
0
votes
1
answer
2
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

22
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
3
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

18
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
4
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

22
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
5
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

33
views
isi2018
engineeringmathematics
probability
0
votes
0
answers
6
A first course in probability by Sheldon Ross
What are the relevant chapter of probability by sheldon ross to study for gate? I think whole syllabus is within chapter 5,Should i study everything upto chapter 5 or there are some topics that can be skipped.
asked
May 8
in
Combinatory
by
souren
(
21
points)

21
views
probability
sheldonross
0
votes
2
answers
7
ISI2019MMA22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
asked
May 7
in
Probability
by
Sayan Bose
Loyal
(
6.9k
points)

100
views
isi2019
probability
0
votes
1
answer
8
ISI2019MMA10
The chance of a student getting admitted to colleges $A$ and $B$ are $60\%$ and $40\%$, respectively. Assume that the colleges admit students independently. If the student is told that he has been admitted to at least one of these colleges, what is the probability that he has got admitted to college $A$? $3/5$ $5/7$ $10/13$ $15/19$
asked
May 6
in
Probability
by
Sayan Bose
Loyal
(
6.9k
points)

107
views
isi2019
engineeringmathematics
discretemathematics
probability
0
votes
2
answers
9
Gate 2018: Probability
In a box, there are $2$ red, $3$ black and $4$ blue coloured balls. The probability of drawing $2$ blue balls in sequence without replacing, and then drawing $1$ black ball from this box is _________ %.
asked
May 1
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

98
views
gate2018
probability
normal
0
votes
1
answer
10
CMI Data Science 2018 (Probability)
asked
Apr 14
in
Probability
by
Sayan Bose
Loyal
(
6.9k
points)

89
views
usercmi2018
probability
0
votes
0
answers
11
PGCET2010CS
The expected value of a probability function, when probability is measured on a scale of 0 to 1, coincides with it's (a) Mean (b) Variance (c) Standard deviation (d) None of them
asked
Apr 9
in
Probability
by
Prajna
(
93
points)

34
views
probability
0
votes
0
answers
12
SHELDON AND ROSS
Twelve percent of all US households are in California. A total of 3.3 percent of all US households earn over 250000 per year, while a total of 6.3 percent California households earn over 250000 per year. If a randomly chosen US household earns over 250,000 per year, ... 10^(3)/(0.033)=0.2291 But the answer given in the instructors manual is .2066 What is wrong with my logic??
asked
Mar 22
in
Probability
by
Doraemon
(
203
points)

31
views
probability
sheldonross
0
votes
0
answers
13
Andrew S. Tanenbaum Edition 5th Exercise 3 Question 13 (Page No. 252)
A block of bits with n rows and k columns uses horizontal and vertical parity bits for error detection. Suppose that exactly 4 bits are inverted due to transmission errors. Derive an expression for the probability that the error will be undetected.
asked
Mar 16
in
Computer Networks
by
ajaysoni1924
Boss
(
10.1k
points)

9
views
computernetworks
datalinklayer
errordetection
tanenbaum
probability
0
votes
2
answers
14
Probability  Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
asked
Mar 8
in
Probability
by
zeeshanmohnavi
Junior
(
857
points)

63
views
probability
engineeringmathematics
0
votes
0
answers
15
Hashing
Consider an open address hash table with uniform hashing. Out of 10 locations, 8 are occupied. What are the expected number of probes in an unsuccessful and successful search respectively?
asked
Mar 6
in
Algorithms
by
s_dr_13
(
147
points)

77
views
hashing
datastructure
uniformhashing
probability
0
votes
0
answers
16
Discrete random variable
asked
Feb 20
in
Probability
by
Na462
Loyal
(
8.7k
points)

83
views
probability
randomvariable
engineeringmathematics
0
votes
0
answers
17
Central limit theorem
(Central Limit Theorem) Let X1, X2, . . . , X81 be i.i.d., each with expected value µ = E(Xi) = 5, and variance σ2 = Var(Xi) = 4. Approximate P(X1 + X2 +· · · X81 > 369), using the central limit theorem.
asked
Feb 19
in
Probability
by
Na462
Loyal
(
8.7k
points)

31
views
probability
0
votes
1
answer
18
Grewal
Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________
asked
Feb 19
in
Probability
by
srestha
Veteran
(
114k
points)

55
views
probability
+1
vote
0
answers
19
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
asked
Feb 19
in
Probability
by
Na462
Loyal
(
8.7k
points)

22
views
engineeringmathematics
probability
0
votes
0
answers
20
Expectation
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
asked
Feb 19
in
Probability
by
Na462
Loyal
(
8.7k
points)

51
views
#probability#expectation
probability
0
votes
1
answer
21
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
asked
Feb 18
in
Probability
by
Na462
Loyal
(
8.7k
points)

232
views
conditionalprobability
probability
0
votes
1
answer
22
JEST 2019
Three dice are rolled independently. Probability of obtaining the difference from largest and smallest number as exactly 4 :
asked
Feb 18
in
Probability
by
Sayan Bose
Loyal
(
6.9k
points)

90
views
jest
probability
0
votes
1
answer
23
JEST Sample Question 1c
If a fair die (with 6 faces) is cast twice, what is the probability that the two numbers obtained differ by 2? (A) 1/12 (B) 1/6 (C) 2/9 (D) 1/2
asked
Feb 15
in
Probability
by
sripo
Active
(
2.6k
points)

50
views
jest
probability
discretemathematics
+1
vote
0
answers
24
JEST Sample Question6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
asked
Feb 15
in
Probability
by
sripo
Active
(
2.6k
points)

27
views
jest
engineeringmathematics
probability
+1
vote
1
answer
25
A family has two children. Given that one of the children is a boy, what is the probability that both children are boys?
asked
Feb 14
in
Probability
by
ShubhamSwarnkar
(
37
points)

163
views
probability
0
votes
1
answer
26
Probability
Bob has a peculiar pair of foursided dice. When he rolls the dice, the probability of any particular outcome is proportional to the sum of the results of each die. All outcomes that result in a particular sum are equally likely. (a) What is the probability of the ... Here what do we mean by the line  any particular outcome is proportional to the sum of the results of each die.
asked
Feb 13
in
Probability
by
DIYA BASU
(
289
points)

20
views
probability
+4
votes
2
answers
27
GATE201920
An array of $25$ distinct elements is to be sorted using quicksort. Assume that the pivot element is chosen uniformly at random. The probability that the pivot element gets placed in the worst possible location in the first round of partitioning (rounded off to $2$ decimal places) is ________
asked
Feb 7
in
Algorithms
by
Arjun
Veteran
(
400k
points)

2.7k
views
gate2019
numericalanswers
algorithms
quicksort
probability
+3
votes
4
answers
28
GATE201922
Two numbers are chosen independently and uniformly at random from the set {1,2,….,13}. The probability (rounded off to 3 decimal places) that their 4bit (unsigned) binary representations have the same most significant bit is _______________.
asked
Feb 7
in
Digital Logic
by
Arjun
Veteran
(
400k
points)

4.1k
views
gate2019
numericalanswers
digitallogic
numberrepresentation
probability
+4
votes
3
answers
29
GATE201947
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
asked
Feb 7
in
Probability
by
Arjun
Veteran
(
400k
points)

2.5k
views
gate2019
numericalanswers
engineeringmathematics
probability
uniformdistribution
+1
vote
3
answers
30
GATE 2019 23
Q.23 Two numbers are chosen independently and uniformly at random from the set (1, 2,..., 13]. The probability (rounded off to 3 decimal places) that their 4bit (unsigned) binary representations have the same most significant bit is
asked
Feb 7
in
Probability
by
Ram Swaroop
Active
(
2.6k
points)

600
views
usergate2019
usermod
probability
numericalanswers
normal
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