1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the mean deviation about the mean is $m$ and variance is $\sigma^2$ for the following data, then $m+\sigma^2=$

$\mathbf{x}$ 1 3 5 7 9
$\mathbf{f}$ 4 24 28 16 8
A
8
B
7.2
C
$\frac{28}{5}$
D
6
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If five-digit numbers are formed from the digits $0,1,2,3,4$ using every digit exactly only once. Then, the probability that a randomly chosen number from those numbers is divisible by 4 is
A
$\frac{5}{16}$
B
$\frac{3}{16}$
C
$\frac{3}{8}$
D
$\frac{7}{16}$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Two natural numbers are chosen at random from 1 to 100 and are multiplied. If $A$ is the event that the product is an even number and $B$ is the event that the product is divisible by 4 , then $P(A \cap \bar{B})=$
A
$\frac{25}{198}$
B
$\frac{49}{198}$
C
$\frac{25}{99}$
D
$\frac{50}{99}$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A box $P$ contains one white ball, three red ball and two black balls. Another box $Q$ contains two white balls, three red balls and four black balls. If one ball is drawn at random from each one of the two boxes, then the probability that the balls drawn are of different colour is
A
$\frac{29}{54}$
B
$\frac{25}{42}$
C
$\frac{35}{54}$
D
$\frac{39}{52}$
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