Civil Engineering
GATE CE Probability and Statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–29 of 29. Imported answers require independent review unless marked reviewed.
Question 18
Open questionCENAT1 markNeeds review
A fair (unbiased) coin is tossed 15 times. The probability of getting exactly 8 Heads (round off to three decimal places), is __________.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
Open questionCEMCQ2 marksNeeds review
The probability density function of a continuous random variable distributed uniform between
and
(for
) isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionCEMCQ1 markNeeds review
The graph of a function
is shown in the figure. For
to be a valid probability density function, the value of
is 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionCEMCQ1 markNeeds review
A probability distribution with right skew is shown in the figure.
The correct statement for the probability distribution is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 19
Open questionCENAT1 markNeeds review
Probabiity (up to one decimal place) of consecutively picking 3 red balls without replacement from a box containing 5 red balls and 1 white ball is _____
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionCEMCQ1 markNeeds review
The number of parameters in the univariate exponential and Gaussian distributions, respectively, are
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 20
Open questionCE-2NAT1 markNeeds review
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 25
Open questionCENAT1 markNeeds review
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is ________.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
Open questionCEMCQ2 marksNeeds review
For the function
,
, to be a valid probability density function, which one of the following statements is correct?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer