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1
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
Let X be a random variable with distribution.

x $$ - $$2 $$ - $$1 3 4 6
P(X = x) $${1 \over 5}$$ a $${1 \over 3}$$ $${1 \over 5}$$ b


If the mean of X is 2.3 and variance of X is $$\sigma$$2, then 100 $$\sigma$$2 is equal to :
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2
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15. If $$\mu$$ is the average marks of girls and $$\sigma$$2 is the variance of marks of 50 candidates, then $$\mu$$ + $$\sigma$$2 is equal to ________________.
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3
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
Let n be an odd natural number such that the variance of 1, 2, 3, 4, ......, n is 14. Then n is equal to _____________.
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4
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four numbers 3 + 2x, 7 + 2y, x + y and x $$-$$ y is ______________.
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