84
MCQ (Single Correct Answer)
If two cards are drawn from a well shuffled deck of 52 playing cards with replacement, then the probability that both cards are queens, is
A
$\frac{1}{13} \cdot \frac{1}{13}$
B
$\frac{1}{13}+\frac{1}{13}$
C
$\frac{1}{13} \cdot \frac{1}{17}$
D
$\frac{1}{13} \cdot \frac{4}{51}$
85
MCQ (Single Correct Answer)
The probability of guessing correctly atleast 8 out of 10 answers on a true false type examination is
A
$\frac{7}{64}$
B
$\frac{7}{128}$
C
$\frac{45}{1024}$
D
$\frac{7}{41}$
86
MCQ (Single Correct Answer)
If the probability that a person is not a swimmer is 0.3 , then the probability that out of 5 persons 4 are swimmers is
A
${ }^5 C_4(0.7)^4(0.3)$
B
${ }^5 C_1(0.7)(0.3)^4$
C
${ }^5 C_4(0.7)(0.3)^4$
D
$(0.7)^4(0.3)$
87
MCQ (Single Correct Answer)
The probability distribution of a discrete random variable $X$ is given below
| $X$ | 2 | 3 | 4 | 5 |
|---|---|---|---|---|
| $P(X)$ | $\frac{5}{k}$ | $\frac{7}{k}$ | $\frac{9}{k}$ | $\frac{11}{k}$ |
The value of k is
A
8
B
16
C
32
D
48
88
MCQ (Single Correct Answer)
For the following probability distribution.
| $X$ | $-$4 | $-$3 | $-$2 | $-$1 | 0 |
|---|---|---|---|---|---|
| $P(X)$ | 0.1 | 0.2 | 0.3 | 0.2 | 0.2 |
E(X) is equal to
A
0
B
$-$1
C
$-$2
D
$-$1.8