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1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If a random variable $X$ satisfies poisson distribution with a mean value of 5 , then probability that $X<3$ is
A
$\frac{37}{2} e^5$
B
$6 e^5$
C
$6 e^{-5}$
D
$\frac{37}{2} e^{-5}$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probability of getting a sum 9 when two dice are thrown is

A
$$\frac{1}{6}$$
B
$$\frac{1}{8}$$
C
$$\frac{1}{9}$$
D
$$\frac{1}{12}$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are two events such that $$P(B) \neq 0$$ and $$P(B) \neq 1$$, then $$P(\bar{A} \mid \bar{B})$$ is

A
$$1-P(A \mid B)$$
B
$$1-{P}(\bar{A} \mid B)$$
C
$$\frac{1-P(A \cup B)}{P(\bar{B})}$$
D
$$\frac{P(\bar{A})}{P(\bar{B})}$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two brothers $$X$$ and $$Y$$ appeared for an exam. Let $$A$$ be the event that $$X$$ has passed the exam and $$B$$ is the event that $$Y$$ has passed. The probability of $$A$$ is $$\frac{1}{7}$$ and of $$B$$ is $$\frac{2}{9}$$. Then, the probability that both of them pass the exam is

A
$$\frac{1}{63}$$
B
$$\frac{2}{35}$$
C
$$\frac{2}{63}$$
D
$$\frac{9}{14}$$
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