1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The discrete random variables $$X$$ and $$Y$$ are independent from one another and are defined as $$X \sim B(16,0.25)$$ and $$Y \sim P(2)$$. Then, the sum of the variance of $$X$$ and $$Y$$ is

A
4
B
5
C
6
D
2
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If 6 is the mean of a Poisson distribution, then $$P(X \geq 3)=$$

A
$$1-25 / e^6$$
B
$$e^{-6}-25$$
C
$$24-25 e^6$$
D
$$e^{-3}$$
3
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

One card is selected at random from 27 cards numbered form 1 to 27. What is the probability that the number on the card is even or divisible by 5.

A
$$\frac{15}{27}$$
B
$$\frac{16}{27}$$
C
$$\frac{17}{27}$$
D
$$\frac{18}{27}$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Nine balls one drawn simultaneously from a bag containing 5 white and 7 black balls. The probability of drawing 3 white and 6 black balls is

A
$$\frac{{ }^7 C_3}{{ }^{12} C_9}$$
B
$$\frac{7}{22}$$
C
$$\frac{3}{22}$$
D
$$\frac{7}{11}$$
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