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If X is a continuous r.v., then the function f(x) is said to p.d.f. of X, if

If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F) = 1/8, find P(E or F)

If E and F are events such that P(E)=1/4, P(F)=1/2 and P(E and F)=1/8, find P(not E and not F)

If E and F are events such that P(E)=1/4,P(F)=1/2 ,and p(E and F)=1/8 . find P(E or F).

If the p.d.f. of a r.v. X is given as Then F(0) =

Let f: N rarr N where N is set of natural numbers be a function such that f(x + y)=f(xy) AA x ge4 and y ge4 , then a)f(4) = f(5) b)f(8) = f(9) c)f(7) = f(8) d)f(5) = f(6)

If E and F are the evens such that P(E) =1/4, P(F)=1/2and P(E and F)=1/7 . Find (i) P(E or F) (ii) P(not E and not F) ?

The following is the p.d.f of continuous random variable X. f(x) = (x)/(8), 0 lt x lt 4 =0 , otherwise. Find the expression for c.d.f of X

If E and F are events such that P(E)=1/4, P(F)=1/2 and P(E"and"F)=1/8 , find (i) P(E"or"F) (ii) P (not E and not F).

If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F) = 1/8, find (i) P(E or F) , (ii) P( - E and - F).