1
GATE ECE 2018
Numerical
+1
-0.33
Let X1 , X2 , X3 and X4 be independent normal random variables with zero mean and unit variance. The probability that X4 is the smallest among the four is _______.
2
GATE ECE 2017 Set 2
+1
-0.3
$$500$$ students are taking one or more courses out of chemistry, physics and Mathematics. Registration records indicate course enrolment as follows: chemistry $$(329)$$, physics $$(186)$$, Mathematics $$(295)$$, chemistry and physics $$(83)$$, chemistry and Mathematics $$(217)$$, and physic and Mathematics $$(63)$$, How many students are taking all $$3$$ subjects?
A
$$37$$
B
$$43$$
C
$$47$$
D
$$53$$
3
GATE ECE 2017 Set 1
Numerical
+1
-0
Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place) _________.
4
GATE ECE 2016 Set 1
Numerical
+1
-0
The second moment of a Poisson-distributed random variables is $$2.$$ The mean of the random variable is _______.