1
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a discrete random variable $X$ has the probability distribution $P(X=x)=k \frac{2^{2 x+1}}{(2 x+1)!}, x=0,1,2 \ldots \infty$, then $k=$

A

$\sinh 2$

B

sec2

C

$\operatorname{cosech} 2$

D

$\cosh 2$

2
AP EAPCET 2025 - 21st May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A random variable $X$ follows a binomial distribution in which the difference between its mean and variance is 1. if $2 P(x=2)=3 P(x=1)$, then $n^2 P(x>1)=$

A

13

B

11

C

15

D

12

3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
When two dice are thrown the probability of getting the sum of the values on them as 10 or 11 is
A
$\frac{7}{36}$
B
$\frac{5}{36}$
C
$\frac{5}{18}$
D
$\frac{7}{18}$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
It is given that in a random experiment events $A$ and $B$ are such that $P(A)=\frac{1}{4}, P(A / B)=\frac{1}{2}$ and $P(B / A)=\frac{2}{3}$, then $P(B)$ is equal to
A
$1 / 3$
B
$2 / 3$
C
$1 / 2$
D
$1 / 6$

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