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1
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 English
Hindi

The number of values of a $$\in$$ N such that the variance of 3, 7, 12, a, 43 $$-$$ a is a natural number is :

A
0
B
2
C
5
D
infinite
2
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1 English
Hindi

Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be $${24 \over 5}$$ and $${194 \over 25}$$ respectively. If the mean and variance of the first 4 observation are $${7 \over 2}$$ and a respectively, then (4a + x5) is equal to:

A
13
B
15
C
17
D
18
3
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1 English
Hindi

The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and $${9 \over 4}$$ respectively. Then $${x^4} + {y^2}$$ is equal to

A
162
B
320
C
674
D
420
4
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1 English
Hindi

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and the variance of X is :

A
$${105 \over {16}}$$
B
$${7\over {16}}$$
C
$${77\over {36}}$$
D
$${49\over {16}}$$
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