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Statistics study consist on topics like estimates, F distribution, sampling, multiplication theorems, probability, random variable, T distribution, geometric probability distribution, marginal probability, skewness, symmetrical distribution and transformation. This solved quiz includes: Statistical, Independence, Discrete, Random, Variable, Srandard, Deviation, Mean, Confidence, Interval, Distribution, Function, Test
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Question No: 21 ( Marks: 1 ) If
and
Then find F (1) Question No: 22 ( Marks: 2 ) Write down the formula of mathematical expectation. e=(w * p) + (-v *1). e Question No: 23 ( Marks: 3 ) Discuss the statistical independence of two discrete random variables: Question No: 24 ( Marks: 3 ) For given data calculate the mean and standard deviation of sampling distribution of mean if the sampling is down without replacement. N 1000, n 25, 68.5, 2. Question No: 25 ( Marks: 3 ) Elaborate the Least Significant Difference (LSD) Test. Question No: 26 ( Marks: 3 ) State the Bayes’ Theorem.
and variances of the weekly incomes in rupees of two samples of workers are given in the following table, the samples being randomly drawn from two different factories: Calculate the 90% confidence interval for the real difference in the incomes of the workers from the two factories. Question No: 28 ( Marks: 5 ) From the given data n 1340, x 723, p . and H (^) 0 : P 0 (^) 0.5 against H 1 (^) : P 0 0. . Carry out the significance test for the stated hypothesis. Question No: 29 ( Marks: 5 ) Given the Probability density function . Compute the distribution function F(x). Question No: 30 ( Marks: 10 ) 1 f(x,y) (6 – x – y), 0 x 2; 2 y 4, 8 0 , elsewhere
a) Verify that f(x,y) is a joint density function. b) Calculate
Question No: 31 ( Marks: 10 ) Factory Sample Size Mean Variance A 160 12.80 64 B 220 11.25 47
elsewhere for x f x x 0 ,