1
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
7 coins are tossed simultaneously and the number of heads turned up is denoted by random variable $X$. If $\mu$ is the mean and $\sigma^2$ is the variance of $X$, then $\frac{\mu \sigma^2}{P(X=3)}=$
A
$\frac{56}{5}$
B
$\frac{84}{5}$
C
$\frac{112}{5}$
D
$\frac{224}{5}$
2
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A manufacturing company noticed that $1 \%$ of its products are defective. If a dealer order for 300 items from this company, then the probability that the number of defective items is atmost one is
A
$\frac{3}{e^3}$
B
$\frac{2}{e^2}$
C
$\frac{3}{e^2}$
D
$\frac{4}{e^3}$
3
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
$\frac{7}{16}$
4
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
$\frac{50}{99}$
AP EAPCET Subjects
EXAM MAP