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1
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The cumulative distribution function of a discrete random variable X is given by

$\mathrm{X}=x$ $-1$ $0$ $1$ $2$
$\mathrm{F(X=x)}$ 0.3 0.7 0.8 1

Then $\mathrm{E(X^2)=}$

A
0.2
B
1.2
C
0.8
D
2.5
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the sum of the deviations of 50 observations from 30 is 50 , then the mean of these observations is

A
30
B
50
C
51
D
31
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Variance of first n natural numbers is ________.

A
$\mathrm{n}^2-\frac{1}{12}$
B
$\frac{(\mathrm{n}-1)^2}{12}$
C
$\frac{\mathrm{n}^2}{12}-1$
D
$\frac{\mathrm{n}^2-1}{12}$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The mean of the numbers $a, b, 8,5,10$ is 6 and the variance is $6.8$ . Then which of the following gives possible values of $a$ and $b$ ?

A
$\mathrm{a}=3, \mathrm{~b}=4$
B
$\mathrm{a}=0, \mathrm{~b}=7$
C
$\mathrm{a=5, b=2}$
D
$\mathrm{a}=1, \mathrm{~b}=6$
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