r mean variance

= np (p+q) n - 1 ..

Let X be a discrete random variable which can assume values x 1 , x 2 , x 3 ,x n with probabilities p 1 , p 2 , p 3 .. p n respectively then (a) Mean of X or expectation of X denoted by E(X) or m is given by (b) Variance of X denoted by s 2 is given ..

The mean for the number of viewers of a sample of entertainment programs is 132, with a variance of 23. The mean for the number of advertisements of a sample of entertainment programs is 182, with a variance of 62. Compare the variations. => The number of vie..

The means of each group of a two-way analysis of variance for two independent variables are plotted as shown in the graph. What does the graph represent about the interaction of the variables? => Disordinal interaction or Ordinal interaction or No interaction..

The means of each group of a two-way analysis of variance for two independent variables are plotted and shown in the three graphs. Which of these represents a disordinal interaction? Consider the interaction to be significant. => Both graph 1 and graph 2 or Graph 1 or Graph 3 or..

A population consists of the five numbers 1, 3, 5, 7 and 9. Consider all the samples of size 2 that can be drawn without replacement from the population. Find the mean and the variance of the sampling distribution means. => 6 and 4.05 or 6 and 3 or 5 and 3.05 or 5 and ..

Consider a rigid body rotating about a fixed axis AB. Consider a particle 'p' of mass 'm' rotating in a circle of radius 'r..

. Let us consider the case of angular momentum in two dimensions. L = xp y - yp x If j is the angle between and x-axis, then p x = p cos y and p y = p sin y. Also x = r cos q , y = r sin q . Hence, we can define angular momentum as the product of linear momentum and the lever ar..

Consider a rigid body rotating about a fixed axis AB. Consider a particle 'p' of mass 'm' rotating in a circle of radius 'r'. The total torque on all the forces acting on all the particles of the body is: whe..

A fertilizer is tested on 7 mango trees. The yield of each tree is shown below. 252, 280, 263, 275, 255, 275, 276. Find the mean and variance. => Mean = 278; Variance = 108 or Mean = 268; Variance = 118 or Mean = 268; Varian..