Exams › GATE › Technical

Jobs arrive at a facility for service in a random manner. The probability distribution of the number of arrivals of jobs in a fixed time interval is

1. Normal
2. Poisson
3. Erlang
4. Beta

Correct answer: Poisson

Solution

The number of random arrivals in a fixed time interval is modeled by the Poisson distribution. It is commonly used for arrival processes in queuing theory.

Related GATE Technical questions

• Given that A and B are not null sets, which of the following statements regarding probability is/are CORRECT?
• Consider the following two statements about the function \(f(x)=|x|\): P. \(f(x)\) is continuous for all real values of \(x\). Q. \(f(x)\) is differentiable for all real values of \(x\). Which of the following is true?
• A company assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with probability q. What is the probability of a computer being declared faulty?
• What is the probability that a divisor of $10^9$ is a multiple of $10^5$?
• Consider the following matrix: \[ A = \begin{bmatrix} 2 & 3 \\ x & y \end{bmatrix} \] If the eigenvalues of $A$ are 4 and 8, then
• Consider the following logical inferences. I1: If it rains, then the cricket match will not be played. The cricket match was played. Inference: There was no rain. I2: If it rains, then the cricket match will not be played. It did not rain. Inference: The cricket match was played. Which of the following is true?

⚔️ Practice GATE Technical free + battle 1v1 →