MCQs of Basic Probability (Probability and Statistics - 3130006) | GTU MCQ

Probability and Statistics (3130006) MCQs

MCQs of Basic Probability

Showing 81 to 90 out of 108 Questions

81.

If x and y are two random variables, then E(x+y)=_______.

(a)	E(x.y)
(b)	E(x).E(y)
(c)	E(x)+E(y)
(d)	none of the above

82.

V(x)=_______.

(a)	$E {(x)}^{2} - {[E (x)]}^{2}$
(b)	$E (x^{2}) - {[E (x)]}^{2}$
(c)	${[E (x)]}^{2} - E (x^{2})$
(d)	none of the above

83.

If c is a constant, then V(c)=_______.

(a)	∞
(b)	0
(c)	1
(d)	none of the above

84.

If c is a constant, then V(cx)=_______

(a)	$c \cdot V (x)$
(b)	$c^{2} \cdot V (x)$
(c)	$V (x)$
(d)	none of the above

85.

If c is a constant, then V(x+c)=_______

(a)	V(x)
(b)	V(x)+c
(c)	c
(d)	none of the bove

86.

If a and b are constants, then V(ax+b)=_______.

(a)	$a \cdot V (x)$
(b)	$a^{2} \cdot V (x)$
(c)	$a \cdot V (x) + b$
(d)	$a^{2} \cdot V (x) + b$

87.

For a continuous random variable x, $P (X \leq x) =$ _______.

(a)	$\int_{- \infty}^{x} f (t) d t$
(b)	$\int_{x}^{\infty} f (t) d t$
(c)	$\int_{- x}^{x} f (t) d t$
(d)	$\int_{- \infty}^{\infty} f (t) d t$

88.

$F (- \infty) =$ _______.

(a)	0
(b)	1
(c)	$\infty$
(d)	none of the above

89.

$F (+ \infty) =$ _______.

(a)	0
(b)	1
(c)	$\infty$
(d)	none of the above

90.

For F(x) which of following is true?

(a)	$0 \leq F (x) \leq 1$
(b)	$0 \leq F (x) \leq \infty$
(c)	$- \infty \leq F (x) \leq 0$
(d)	$F (x) = 0$

Showing 81 to 90 out of 108 Questions