1
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the probability distribution of a random variable $X$ is given by

$$ \begin{array}{|c|c|c|c|c|c|c|} \hline X=x & 0 & 2 & 4 & 6 & 8 & 10 \\ \hline P(X=x) & 0 & k & 2 k & 5 k^2 & 2 k^2 & 3 k \\ \hline \end{array} $$

then the mean of $X$ is

A

$\frac{384}{121}$

B

$\frac{60}{13}$

C

$\frac{163}{25}$

D

$\frac{326}{49}$

2
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probability of getting a success in a trail is five times that of a failure. The probability of getting atmost one success in 5 trails, is

A

$\frac{25}{6^5}$

B

$\frac{26}{6^5}$

C

$\left(\frac{5}{6}\right)^5$

D

$2\left(\frac{5}{6}\right)^5$

3
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A bag contains 3 white and 6 red balls. Four balls are drawn at a time randomly. Then, the probability of getting at least two red balls is

A

$\frac{8}{27}$

B

$\frac{5}{14}$

C

$\frac{60}{63}$

D

$\frac{1}{2}$

4
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

$A$ and $B$ are two independent events $P(A)=\frac{2}{5}, P(B)=\frac{1}{3}$.

Match the following :

$$
\text { List I }
$$
$$
\text { List II }
$$
(A) $\quad P(\bar{A} \cup B)$ I. $$
\frac{11}{15}
$$
(B) $P\left(\frac{A}{\bar{B}}\right)$ II. $$
\frac{3}{5}
$$
(C) $P(A \cup B)$ III. $$
\frac{2}{3}
$$
(D) $p\left(\frac{\bar{B}}{A}\right)$ IV. $$
\frac{2}{5}
$$
V. $$
\frac{1}{3}
$$

The correct match is

A
A B C D
I III IV II
B
A B C D
II IV V I
C
A B C D
II IV III V
D
A B C D
II IV III I

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