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Recent questions tagged probability

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1 answer
456
Probability question of CLRS
In a restaurant each of $n$ customer gives a hat to the hat check person. The hat check person gives the hat back to the customer in a random order. What is expected number of customer who get back their own hat?
In a restaurant each of $n$ customer gives a hat to the hat check person. The hat check person gives the hat back to the customer in a random order. What is expected numb...
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5 votes
2 answers
459
GATE2017 CE-2: GA-5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
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1 votes
2 answers
460
#probability(self doubt)
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective car is??
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective c...
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1 votes
1 answer
466
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.
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 ther...
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0 votes
3 answers
467
ISI2019-MMA-22
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$
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 ...
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1 votes
2 answers
469
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 _________ %.
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 ba...
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0 votes
1 answer
470
CMI Data Science 2018 (Probability)
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0 votes
0 answers
471
PGCET2010-CS
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
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...
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0 votes
2 answers
474
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$
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...
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1 votes
1 answer
475
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?
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 se...
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0 votes
0 answers
476
Discrete random variable
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477
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.
(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...
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0 votes
3 answers
478
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 ________________
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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1 votes
0 answers
479
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.
Let R be the rate at which customers are served in a queue. Suppose that R isexponential with pdf f(r) = 2e^(−2r) on [0, ∞).Find the pdf of the waiting time per custo...
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0 votes
0 answers
480
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.
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 th...
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