1
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For the probability distribution of a discrete random variable $X$ as given below, then mean of $X$ is
X = x -2 -1 0 1 2 3
P(X = x) $$
\frac{1}{10}
$$
$$
K+\frac{2}{10}
$$
$$
K+\frac{3}{10}
$$
$$
K+\frac{3}{10}
$$
$$
K+\frac{4}{10}
$$
$$
K+\frac{2}{10}
$$
A
$\frac{3}{5}$
B
$\frac{4}{5}$
C
$\frac{6}{5}$
D
$\frac{8}{5}$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a random experiment, two dice are thrown and the sum of the numbers appeared on them is recorded. This experiment is repeated 9 times. If the probability that a sum of 6 appears atleast once is $P_1$ and a sum of 8 appears atleast once is $P_2$, then $P_1: P_2=$
A
$4: 3$
B
$3: 1$
C
$1: 2$
D
$1: 1$
3
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If 7 different balls are distributed among 4 different boxes, then the probability that the first box contains 3 balls is
A
$\frac{35}{128}\left(\frac{3}{4}\right)^3$
B
$\frac{35}{64}\left(\frac{3}{4}\right)^4$
C
$\frac{7}{8}\left(\frac{3}{4}\right)^7$
D
$\frac{5}{16}\left(\frac{3}{4}\right)^5$
4
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Out of first 5 consecutive natural numbers, if two different numbers $x$ and $y$ are chosen at random, then the probability that $x^4-y^4$ is divisible by 5 is
A
$\frac{2}{5}$
B
$\frac{4}{5}$
C
$\frac{3}{5}$
D
$\frac{1}{5}$
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