A matrix denotes a number

Fill in the blanks: A matrix, in which number of rows is equal to number of columns, is called a ………….. Matrix.

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Find the probability distribution of a random variable X which denotes the number of tails in two tosses of a coin.

A coin is tossed thrice. If event E denotes the ‘number of heads is odd’ and event F denotes the ‘number of tails is odd’, then find the cases favourable to the event E nn F .

Let L denotes the number of subjective functions f : A -> B , where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8 . The value of (LM+N) is lambda , then the value of lambda/19 is

Two dice are thrown simultaneously. If X denotes the numbers of sixes obtained, find probability distribution of X and also is mean and variance.

Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.