If x = t2 ,y = t3 ,then d2y/dx2 is equal to:

1.  3/2

2.  3/4t

3.  3/2t

4.  3t/2

4

3/4t

Explanation :
No Explanation available for this question

The probability of getting a total of 10 in a single throw of two dice, is

1.  1 / 9

2.  1 / 12

3.  1 / 6

4.  5 / 36

4

1 / 12

Explanation :
No Explanation available for this question

In a binomial distribution n = 400, p = 1/5, its standard deviation is

1.  10√2

2.  1 / 800

3.  4

4.  8

4

8

Explanation :
No Explanation available for this question

y = a+bx2 ,where a,b are arbitrary constants, then :

1.  d2y/dx2 =2xy

2.  x(d2y/dx2) = y

3.  (xd2y/dx2)+(dy/dx)+y = 0

4.  xd2y/dx2 =2xy

4

x(d2y/dx2) = y

Explanation :
No Explanation available for this question

The probability of getting exactly 2 tails in 6 tosses of a fair coin, is

1.  3 / 8

2.  1 / 4

3.  15 / 64

4.  49 / 44

4

15 / 64

Explanation :
No Explanation available for this question

If 3sinxy+4cos(xy)=5,then dy/dx is equal to :

1.  –y/x

2.  [3sin(xy)-4cos(xy)]/[3sin(xy)-4cos(xy)]

3.  [3cos(xy)+4sin(xy)/[3cos(xy)+4sin(xy)]

4.  tan(xy)

4

–y/x

Explanation :
No Explanation available for this question

If X is a random poission variate such that α = P(X = 1) = P(X = 2), then P(X = 4) is equal to

1.  2α

2.  α / 3

3.  αe-2

4.  αe2

4

α / 3

Explanation :
No Explanation available for this question

If X follows a binomial distribution with parameters n = 6 and p. If 4P(X = 4) = P(X = 2), then p is equal to

1.  1 / 2

2.  1 / 4

3.  1 / 6

4.  1 / 3

4

1 / 3

Explanation :
No Explanation available for this question

If (1 + x)n = C0 + C1x + C2x2 + …. + CnXn, then C0 - C2 + C4 - C6 + … is equal to:

1.  2n-1

2.  2n/2 sin [(nπ) / 4]

3.  2n/2 cos [(nπ) / 4]

4.  0

4

2n/2 cos [(nπ) / 4]

Explanation :
No Explanation available for this question

If π/2 < α < 3π/2, the modulus argument of (1+ cos2a) + i sin2α is:

1.  -2cosα (cos (π + α) + i sin(π + α))

2.  2cosα (cos α + i sin α)

3.  2cosα (cos (-α) + i sin (-α))

4.  -2cosα (cos (π - α) + i sin (π - α))

4