# Question: Find the sampling distribution of Y1 for random samples of

Find the sampling distribution of Y1 for random samples of size n = 2 taken

(a) Without replacement from the finite population that consists of the first five positive integers;

(b) With replacement from the same population.

(a) Without replacement from the finite population that consists of the first five positive integers;

(b) With replacement from the same population.

## Answer to relevant Questions

Duplicate the method used in the proof of Theorem 8.16 to show that the joint density of Y1 and Yn is given by (a) Use this result to find the joint density of Y1 and Yn for random samples of size n from an exponential ...Use the result of Exercise 8.56 to find the mean and the variance of the sampling distribution of R for random samples of size n from the continuous uniform population of Exercise 8.46. For random samples from an infinite population, what happens to the standard error of the mean if the sample size is (a) Increased from 30 to 120; (b) Increased from 80 to 180; (c) Decreased from 450 to 50; (d) decreased ...Independent random samples of sizes 400 are taken from each of two populations having equal means and the standard deviations σ1 = 20 and σ2 = 30. Using Chebyshev’s theorem and the result of Exercise 8.2, what can we ...A random sample of size n = 12 from a normal population has the mean x = 27.8 and the variance σ2 = 3.24. If we base our decision on the statistic of Theorem 8.13, can we say that the given information supports the claim ...Post your question