The probability that a man fishing at a particular place will catch 1, 2, 3 and 4 fishes are 0.4, 0.3, 0.2 and 0.1 respectively. Then the expected number of fishes caught is ______.

Three masses of 2 kg, 4 kg and 4 kg are placed at the three points (1, 0, 0), (1, 1, 0) and (0, 1, 0) respectively. The position vector of its centre of massis

The probabilities that a typist will make 0, 1, 2, 3, 4 and 5 or more mistakes in typing a report are respectively, 0.12, 0.25, 0.36, 0.14, 0.08 and 0.11.

Point masses 1, 2, 3 "and" 4 "kg are lying at the point (0, 0, 0), (2, 0, 0), (0, 3, 0) and (–2, –2, 0) respectively. The moment of inertia of this system about x-axis will be

If a random variable x assumes the values 0,1 and 2 with probabilities 0.30,0.50 and 0.20, then its expected value is (A) 1.50(B)3(C)0.90 (D) 1

The probability distribution of a random variable X is given by. {:(X=x:,0,1,2,3,4),(P(X=x):,0.4,0.3,0.1,0.1,0.1):} The variance of X, is

A small fish 0.4m below the surface of a lake, is viewed through a simple converging lens of focal length 3m . The lens is kept at 0.2m above the water surface such that the fish lies on the optical axis of the lens. Find the distance of the image of the fish from the lens as seen by the observer. The refractive index of water is 4//3 .