Probability and Statistics (3130006) MCQs

MCQs of Basic Probability

Showing 71 to 80 out of 108 Questions
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71.

Discrete random variable is a variable which has _______.

(a)

specific value
(b)

more than one value
(c)

changing value
(d)

none of the above
Answer:

Option (b)

72.

Continuous random variable is a variable that can have any values within _______.

(a)

rational numbers
(b)

real line
(c)

continuous range
(d)

none of the above
Answer:

Option (c)

73.

The real valued function f(x) is called Probability function of random variable x if _______.

(a)

P(X=x)=f(x)
(b)

P(X=x)<f(x)
(c)

P(X=x)≠f(x)
(d)

P(X=x)>f(x)
Answer:

Option (a)

74.

If x is a discrete random variable then its Probability function is called _______.

(a)

P.M.F
(b)

P.D.F
(c)

P.M.F and P.D.F
(d)

none of the above
Answer:

Option (a)

75.

If x is a continuous random variable the its Probability function is called _______.

(a)

P.M.F
(b)

P.D.F
(c)

P.M.F and P.D.F
(d)

none of the above
Answer:

Option (b)

76.

If x is a continuous random variable and f(x) is P.D.F. Then P(a<x<b)= _______.

(a)

∫abx·f(x) dx
(b)

∫abx2·f(x) dx
(c)

∫abf(x) dx
(d)

∫abx dx
Answer:

Option (c)

77.

If x is a  continuous random variable and f(x) is P.D.F. Then ∫-∞∞ f(x) dx= _______.

(a)

0

(b)

1

(c)

2

(d)

∞

Answer:

Option (b)

78.

If x is a  continuous random variable and f(x) is P.D.F. Then E(x)=_______.

(a)

∫-∞∞ x2·f(x) dx

(b)

∫-∞∞ x·f(x) dx

(c)

∫-∞∞ f(x) dx

(d)

∫-∞∞ x dx

Answer:

Option (b)

79.

If c is a constant, then E(cx)=________.

(a)

c2·E(x)

(b)

c·E(x)

(c)

c+E(x)

(d)

c2+E(x)

Answer:

Option (b)

80.

If a and b are constants, then E(ax±b)= _______.

(a)

E(a±bx)
(b)

aE(x)±b
(c)

bE(x)±a
(d)

ab±E(x)
Answer:

Option (b)

Showing 71 to 80 out of 108 Questions
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