GATE ME concept:poisson PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–4 of 4. Imported answers require independent review unless marked reviewed.

Topic practice 4 questionsPage 1 of 1

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are

Your answerChoose one option.

3 and 3, respectively

and

, respectively

0.015 and 0.015, respectively

3 and 9, respectively

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let a random variable

follow Poisson distribution such that

The value of

is __________ (round off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Customers arrive at a shop according to the Poisson distribution with a mean of 10 customers/hour. The manager notes that no customer arrives for the first 3 minutes after the shop opens. The probability that a customer arrives within the next 3 minutes is

Your answerChoose one option.

0.39

0.86

0.50

0.61

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is ______ (correct to two decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ME concept:poisson PYQs

How to practice concept:poisson

Question 11

Question 47

Question 33

Question 24