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).

Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

Given X ~ B ( n,p)If p =0 .6 E (X) =6, find n and Var (X)

In a class,30% of the students offered English,20% offered Hindi and 10% offered both.If a student is selected at random,what is the probability that he has offered English or Hindi? (2)/(5) (b) (3)/(5) (c) (3)/(4) (d) (3)/(10) (e) None of these

Let X = { x|1 le x le 50, x in N } . A member of the set X is selected at random. Find the probability that the selected number is a solution of the inequation (x^2 - 30x +200)/(x-15) <0 .

In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random. Find the probability that he reads English, if it is known that he reads French.

In an examination 30% of the students failed in Physics, 25% in Mathematics and 12% in both Physics and Mathematics. A student is selected at random. Find the probability that the student has failed in Physics, if it is known that he has failed in Mathematics. (ii) the student has failed at least one of the two subjects (ii) the student has passed at least one of the two subjects (iv) the student has passed in Mathematics if he failed in Physics.

In a class, 30% of the students offered mathematics, 20% offered chemistry and 10% offered both. If a student is selected at random, find the probability that he has offered mathematics or chemistry.

A car manufacturing factory has two plants X and Y. Plant X manufactures 70% of the cars and plant Y manufactures 30%. At plant X, 80% of the cars are rated of standard quality and at plant Y, 90% are rated of standard quality. A car is picked up at random and is found to be of standard quality. Find the probability that it has come from plant X.