same mean and 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 number of vehicles that crossed at a traffic junction per minute at different intervals are: 120, 138, 127, 135, 132, 124, 130, 134. Find the mean and variance. => Mean = 138; Variance = 31.7 or Mean = 130; Variance = 22.3 or Mean..

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..

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..

30% of the death cases in a hospital are caused by accidents. If 250 cases are selected at random, then find the mean, variance and standard deviation of the number of death cases caused by accidents. => 75, 7.24, 52.5 or 52.5, 75, 7.24 or 7.25, 52.5, 75 or 75, 52.5, 7.24..

What are the 95% and 99% confidence intervals for the population mean, if the variance is 0.64? Given that sample size = 60, sample mean = 11.21. => (11.29, 11.371) and (10.933, 11.467) or (10.997, 11.403) and (10.997, 11.403) or (11.01, 11.41) and (10.94, 11.48) or (1..

n = 100, p = 0.25. Find the mean and variance when the conditions for the binomial distribution are met. => 75, 18.75 or 25, 12.25 or 75, 12.25 or 25, 18.75..

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..

If two samples have means of 30 and 28 and variances of 12 and 14, with 20 and 25 as the sizes, find the z score for difference of two population means. => 2.154 or 2.075 or 2.320 or 1.857..