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Recent questions tagged probability
Webpage for Probability
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Discrete random variable
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Probability
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probability
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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.
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4 days
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Probability
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Na462
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probability
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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 ________________
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4 days
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Probability
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srestha
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probability
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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.
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Probability
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Na462
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engineeringmathematics
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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.
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4 days
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Probability
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Na462
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#probability#expectation
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6
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?
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5 days
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Probability
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Na462
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conditionalprobability
probability
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7
JEST 2019
Three dice are rolled independently. Probability of obtaining the difference from largest and smallest number as exactly 4 :
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5 days
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Probability
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Sayan Bose
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57
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jest
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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
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Feb 15
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Probability
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sripo
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jest
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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.
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Feb 15
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Probability
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sripo
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19
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jest
gate
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probability
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10
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
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Probability
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ShubhamSwarnkar
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19
points)

124
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probability
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votes
1
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11
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
(
241
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13
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probability
+2
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2
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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 ________
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Feb 7
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Algorithms
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Arjun
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gate2019
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4
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13
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
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Arjun
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gate2019
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GATE201947
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only rela roots is (rounded off to $1$ decimal place) _______
asked
Feb 7
in
Probability
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Arjun
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385k
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2k
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gate2019
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0
votes
3
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15
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
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Feb 7
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Probability
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Ram Swaroop
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449
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usergate2019
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probability
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normal
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Uniform Distribution
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Feb 2
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Probability
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Na462
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59
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randomvariable
probability
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uniformdistribution
acetestseries
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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
in
Operating System
by
Ashish Goyal
(
337
points)

26
views
engineeringmathematics
randomvariable
probability
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votes
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18
Made easy test series hashing
Consider the hashing table with 'm' slots and 'n' keys. If the expected number of probes in unsuccessful search is 3. The expected number of probes in a successful search is_ Answer 1.647
asked
Jan 27
in
DS
by
Ram Swaroop
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2.3k
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80
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madeeasytestseries
hashing
probability
datastructure
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19
GATEEY2018 Q53
The probability that a bush has a cricket is 0.1. The probability of a spider being present on a bush is 0.2. When both a spider and a cricket are present on a bush, the probability of encountering each other is 0.2. The probability of a spider consuming a ... a cricket is preyed on by a spider is ____ (answer up to 3 decimal places). Is it multiplication of everything i.e. 0.002.
asked
Jan 26
in
Probability
by
Barney Ross
(
235
points)

52
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probability
usergate2018
usermod
0
votes
1
answer
20
Made easy test series probability
A dice is tossed thrice. A success is getting ‘1 or 6' on a toss. Find the variance of number of successes _. Answer 0.66
asked
Jan 24
in
Probability
by
Ram Swaroop
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2.3k
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85
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madeeasytestseries
probability
0
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21
Applied Course Mock Test 4
Q32 [Mock 4]. Naveen's coin box contains 8 fair standard coins (heads and tails) and 1 coin which has heads on both sides. He selects a coin randomly and flips it 4 times, getting all heads. If he flips this coin again, what is the probability it ... )+(1/9)*(1) Probability of choosing fair coin and P(heads)+ P(unfair)*P(heads). Please help me understand this question.
asked
Jan 22
in
Probability
by
great_gater
(
261
points)

98
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conditionalprobability
probability
discretemathematics
0
votes
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22
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.
asked
Jan 21
in
Probability
by
learner_geek
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3.7k
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55
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probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
2
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23
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?
asked
Jan 20
in
Mathematical Logic
by
learner_geek
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3.7k
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151
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probability
engineeringmathematics
conditionalprobability
randomvariable
0
votes
1
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24
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
by
learner_geek
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3.7k
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39
views
probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
1
answer
25
Probablity Question
The given table shows the result of the class of 30. Find the probability that a given student who is passed in exam is a girl?
asked
Jan 19
in
Mathematical Logic
by
gmrishikumar
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1.7k
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45
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probability
engineeringmathematics
0
votes
0
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26
Probability
An ordinary deck of 52 playing cards is randomly decoded into 4 piles of 13 cards each. The probability that each pile has exactly 1 ace is ________
asked
Jan 19
in
Mathematical Logic
by
ghostman23111
(
137
points)

17
views
probability
engineeringmathematics
0
votes
0
answers
27
Probability
Suppose that a bag contains 8 blue cubes and 4 green cubes. We draw 2 cubes from the bag without replacement. It is given that blue balls are of weight 1Kg and green balls are of weight 0.5 Kg. Suppose that the probability that a given cube in the bag ... is its weight divided by the sum of the weights of all cubes currently in the bag. What is the probability that both cubes are blue.
asked
Jan 19
in
Probability
by
ghostman23111
(
137
points)

28
views
probability
engineeringmathematics
0
votes
0
answers
28
Probability
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?
asked
Jan 19
in
Mathematical Logic
by
ghostman23111
(
137
points)

23
views
probability
engineeringmathematics
conditionalprobability
0
votes
0
answers
29
Gate applied Mock Test 3
There are two identical boxes in front of you. In box X, there are 3 white balls and 7 black balls. In box Y there are 7 white balls and 3 black balls. You randomly reach one of the boxes and draw three balls from it one by one. If every time you ... , and it was white. II. You drew two balls, and they were both white. III. You drew three balls, and they were all white.
asked
Jan 19
in
Mathematical Logic
by
bhanu kumar 1
Junior
(
771
points)

26
views
probability
0
votes
0
answers
30
binary operation
out of all binary operation possible on a set with 3 element, a binary operation is selected at random.find the probability that chosen binary operation is being non commutative .
asked
Jan 17
in
Mathematical Logic
by
Gurdeep Saini
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8.3k
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28
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probability
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