Practice Questions

Let f(x) = ax^2 + bx + c. F(2)=26 , f'(2)=23 , f''(2) = 14, then f(1) is

Find number K such that line y=6x + 4 is tangent to parabola y= x^2 + k

A fair coin is tossed N times.The probasbility that head does not turn up in any of the tosses is

A random variable x has density function f(x) = k/(1+x^2) where -inf < x < inf, then the value of K is

A fair coin is tossed n times. The probability that difference between number of heads and tails in n-3 is

An experiment yields 3 mutually exclusive events A, B and C such that P(A) = 2P(B) = 3P(c). Then P(A) is equal to

If P(X) = 0.25 , P(Y) = 1/3 and P(X U Y) = 1/2 , then find P(Y|X)

A box contains 25 parts of which 10 are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both parts being good is

If 2 cards are drawn from a well shuffled pack of 52 cards , the probability of there being of same color is

If a matrix A is symetric as well as skew symetric than