# Question: If X has an F distribution with v1 and v2

If X has an F distribution with v1 and v2 degrees of freedom, show that Y = 1/X has an F distribution with v2 and v1 degrees of freedom.

## Answer to relevant Questions

Use the result of Exercise 8.41 to show that Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.46. With reference to part (b) of Exercise 8.52, find the covariance of Y1 and Yn. How many different samples of size n = 3 can be drawn from a finite population of size (a) N = 12; (b) N = 20; (c) N = 50? A random sample of size 64 is taken from a normal population with µ = 51.4 and σ = 6.8. What is the probability that the mean of the sample will (a) Exceed 52.9; (b) Fall between 50.5 and 52.3; (c) Be less than 50.6?Post your question