GATE BT topic:probability-and-statistics PYQs & Answers

Home
GATE
Biotechnology
Topics
topic:probability-and-statistics

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 1–10 of 19. Imported answers require independent review unless marked reviewed.

Topic practice 19 questionsPage 1 of 2

The mean of the following series is _____. (rounded off to three decimal places)

0.01, 0.02, 0.03, ⋯ ⋯ ⋯, 1

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

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is ______________.

(Round off 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

The six faces of a cube (die) are numbered as 1, 2, 3, 4, 5 and 6, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting an odd number as an outcome is twice that of an even number, then the probability of getting a number less than 3 is ________.

Your answerChoose one option.

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

Two fair six-sided dice are thrown. The probability of getting 12 as the product of the numbers on the dice (rounded off to two decimal places) is ____________.

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

Ten playing cards numbered 1, 2, 3, ..., 10 are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is drawn again at random. The probability that the number on the second draw is greater than the number on the first draw (rounded off to two decimal places) is __________.

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

The probability density function of a random variable

. The probability

(rounded off to two decimal places) is ________________.

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

Consider a random variable

with mean

and variance

. A new random variable

is defined. The variance of the random variable

(rounded off to one decimal place) is ____________________.

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

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.

The probability that at least two chocolates are identical is __________.

Your answerChoose one option.

0.3024

0.4235

0.6976

0.8125

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

Three balls, colored in blue, green and red, are successively transferred from box

to box

in the order BLUE-GREEN-RED. The probability of a reverse transfer of the balls to the box

in the same order (rounded off to two decimal places) is ________.

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

If the values of two random variables

are (121, 360), (242, 364) and (363, 362), the value of correlation coefficient between X and Y (rounded off to one decimal place) is _____.

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

GATE BT topic:probability-and-statistics PYQs

How to practice topic:probability-and-statistics

Question 31

Question 35

Question 31

Question 33

Question 61

Question 31

Question 55

Question 8

Question 21

Question 43