In a meeting, `70 %` of the members favour and `30 %` oppose a certain proposal. A member is selected at random and we take `X = 0`,if he opposed, and `X=1`, if he is in favour. Find `E(X)` and `Var(X)`.

In an examination.30% of students failed in Maths,20% of students failed in Chemistry and 10% of students failed in both Maths & Chemistry.A student is selected at random.Find the probability that the student has failed in Maths,it is known that he has failed in Chemistry.

In a factory which manufacture bulbs,machine X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of the output 1%, 2% and 3% are respectively defective bulbs. A bulb is drawn at random and found to be defective. What is the probability that it is manufactured by machine Y ?

In class XI of a school 40% of the students study Mathematics and 30% study Biology, 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying mathematics or Biology.

If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find X and Y.

The probability distribution of a random variable X taking values 1,2,3,4,5 is given c.Find the variance of X

The probability distribution of a random variable X taking values 1,2,3,4,5 is given b.Find the mean of X

Two numbers are selected at random (without replacement) from the first six positivè integers. Let 'X' denote the larger of the two numbers obtained. Find E(X).

The probability distribution of a random variable X taking values 1,2,3,4,5 is given a.Find the value of P