Download (b) -1 (d) none of these

Sem-5 STATATICS MCQ
(1)
(a)
(b)
(2)
(a)
(b)
(3)
(a)
(b)
(4)
(a)
(b)
(5)
(a)
(b)
(6)
(a)
The correlation between shoe-size & intelligence is
Zero
(c) negative
Positive
(d) none of these
______ given the mathematical relationship of the
variables.
Correlation
(c) Regression
Both (a) & (b)
(d) none of these
The regression lines are perpendicular to each
other if r = ______.
0
(c) 1
–1
(d) none of these
The probability can take values from _______.
-1 to 1
(c) 1 to 2
0 to 1
(d) none of these
If a card is drawn at random from the pack of 52
cards, what is the probability of getting a spade or
ace ?
1/3
(c)1/4
5/13
(d)4/13
If y = 2 -3x then V(y) = _______________
9V(x)
(c)3V(x)
(b)
(7)
(a)
(b)
(8)
6V(x)
(d)none of these
Expected value of a r.v.
Is always positive
(c) is always negative
May be A or B or 0
(d) can never be 0
If x and y are independent random variables then
V (x-y)=____________
(a) V(x) + V(y)
(c) V(x) – V(y)
(b) V(x)v(y)
(d) none of this
(9) If E(x) = 2 and E(x2) = 5.3 then E(x + 1)2 =_________
(a) 8.3
(c) 10.3
(b) 9.3
(d) 8.4
(10) Find the value of K if probability distribution P(x) =
kx, x = 1, 2,3,4
(a) 0.20
(c) 0.30
(b) 0.10
(d) 1
(11) The important characteristic of Bernoulli trials is
(a) Trials are independent
(c) trials are infinite
(b) Each trial is associated with just two possible
outcome
(d) both (a) & (b)
(12)The mean of a binomial distribution is –
(a) np
(c) npr
(b) √𝑛𝑝𝑞
(d) none
(13) A binomial distribution is symmetrical when
(a) p = 0.50
(c) p = 0.10
(b) p = 0.60
(d) none of these
(14)If the number of independent trials n is sufficiently
large and p is very small and np is constant; then
binomial distribution tends to _________.
(a) normal distribution
(c) binomial distribution
(b) poisson distribution
(d) sampling distribution
(15) In normal distribution coefficient of skewness is
always ____________
(a) 1
(c) 0
(b) 0.50
(d) none of these
(16) The covariance between the two variables is
(a) positive
(c) negative
(b) zero
(d) above all
(17) Which statement is true ?
(a) -1 < r < 1
(c) -1≤ r ≤ 1
(b) o ≤ r ≤ 1
(d) -1 ≤ r ≤ o
(18) If r = 0.60 then the coefficient of determination is
(a) 0.64
(C) 0.36
(b) 0.40
(d) none of these
(19) Value of r is the independent of change of
(a) Scale
(c) both a & b
(b) Origin
(d) none
(20) The value of byx and bxy is independent of change
of ____________
(a) Scale
(c) both a & b
(b) Origin
(d) none
(21) The sign of covariance and r = _____
(a) same
(C) different
(b) positive
(d) negative
(22) Variance of x may be positive, negative or zero.
(a) true statement
(c) false statement
(b) both (a) and (c)
(d) none of these
(23) The sum of the difference of rank is always.
(1) 1
(c) 0
(b) -1
(d) none of these
(24) Interpretation of r = 0 is
(a) absence of correlation
(c) lack of correlation
(b) low degree positive correlation (d) none of these
(25) The sign of r,bxy and byx are _______
(a) same
(C) different
(b) positive
(d) negative
(26) The equations y = a + bx and x = c + dy are based
on the method of
(a) least squares
(c) greatest squares
(b) both a & c
(d) none of these
(27) Two regression lines always intersect at the means
(a) true statement
(c) both a & b
(b) false statement
(d) none
(28) The errors in the case of regression equations are
(a) positive
(c) zero
(b) negative
(d) above all
(29) bxy is called the regression coefficient of
(a) y on x
(c) both a & b
(b) x on y
(d) none
(30) the statement H.M. = 2r2/byx + bxy is
(a) true
(c) both a & b
(b) false
(d) none
(31) Value of R is lies between _____and _____
(a) -1, 1
(c) 0, 1
(b) -1, 0
(d) 0, 2
(32) The change in the value of y for unit change in the
value of x is denoted by symbol_____
(a) bxy
(c) byx
(b) r
(d) R2
(33) The set of all possible outcome of a random
experiment is known as _______
(a) zero space
(c) sample space
(b) population space
(d) none of these
(34) the great Russian mathematician Kolmogorov has
given the _________ definition of probability.
(a) classical
(c) axiomatic
(b) empirical
(d) statistical
(35) If P(A) = P(B), the two events are said to be _____
(a) equally likely
(a) independent
(b) dependent
(d) none
(36) If for the two events, P(A U B) = 1 then they are
said to be _______ events.
(a) mutually exclusive
(c) exhaustive
(b) equally likely
(d) none of these
(37) P(A U B) = P(A) + P(B) if the events are _________
(a) mutually exclusive
(c) exhaustive
(b) equally likely
(d) none of these
(38) If P(A) = 1, then the event A is known as _______
(a) dependent
(c) certain
(b) independent
(d) none of above
(39) The probability of impossible event is ______.
(a) 0
(c) 1
(b) 0.5
(d) -1
(40) If P(A/B) = P(A) then ______
(a) A is independent of B
(c) B is dependent of A
(b) B is independent of A
(d) both a & c
(41) If an unbiased coin is tossed twice, the probability
of obtaining at least one tail is _______.
(a) 0.25
(c) 0.50
(b) 0.75
(d) 0.90
(42) The probability of solving a problem by Raj is 1/3,
and by Jay is 1/4 respectively. What is the probability
that the problem is solved ?
(a) 2/3
(c) 1/3
(b) 1/2
(d) none of these
(43) The probability of getting equal no. on the face of
dices when to dice are thrown together is _____.
(a) 1/6
(c) 1/2
(b) 1/3
(d) ¼
(44) A dice is thrown at random. What are the
expectations of no. on it?
(a) 4.5
(c) 3.5
(b) 5.5
(d) 2.5
(45) When the expected value is negative the result is
________
(a) favourable
(c) both a & b
(b) unfavourable
(d) none of these
(46) If S.D. of x = 4 then V(2x) = _______.
(a) 8
(c) 64
(b) 16
(d) 36
(47) If x is a binomial variate with n = 20 and p = 0.50.
What is the mean of x?
(a) 5
(c) 15
(b) 10
(d) 20
(48) When an unbiased coin is tossed five times the
_____ distribution is used.
(a) normal
(c) binomial
(b) poission
(d) none
(49) ____ is the parameters of binomial distribution.
(a) n & P
(c) n
(b) p
(d) neither n nor p
(50) The normal curve is ______.
(a) Bell - shaped
(c) U - shaped
(b) J – shaped
(d) none of these