1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The mean and variance of 7 observations are 8 and 16 respectively. If first five observations are $2,4,10,12,14$, then absolute difference of remaining two observations is

A
1
B
2
C
3
D
4
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3, then new variance of the resulting observations is

A
288
B
36
C
18
D
108
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The variance of 20 observations is 5 . If each observation is multiplied by 3 and then 8 is added to each number, then variance of resulting observations is

A
$\frac{3}{4}$
B
$\frac{4}{3}$
C
$\frac{5}{3}$
D
$\frac{3}{5}$
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If X is a random variable with distribution given below

$\mathrm{X}=x_{\mathrm{i}}:$ 0 1 2 3
$\mathrm{P}\left(\mathrm{X}=x_{\mathrm{i}}\right):$ $\mathrm{k}$ $\mathrm{3k}$ $\mathrm{3k}$ $\mathrm{k}$

Then the value of $k$ and its variance are respectively given by

A
$\frac{1}{8}, \frac{22}{27}$
B
$\frac{1}{8}, \frac{23}{27}$
C
$\frac{1}{8}, \frac{8}{9}$
D
$\frac{1}{8}, \frac{3}{4}$
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