# Question: Verify that if X has an F distribution with v1

Verify that if X has an F distribution with v1 and v2 degrees of freedom and v2 → ∞, the distribution of Y = v1X approaches the chi-square distribution with .1 degrees of freedom.

## Answer to relevant Questions

If X1, X2, . . . , Xn are independent random variables having identical Bernoulli distributions with the parameter θ, then is the proportion of successes in n trials, which we denote by Θ. Verify that (a) E(Θ) = θ; ...Show that the F distribution with 4 and 4 degrees of freedom is given by And use this density to find the probability that for independent random samples of size n = 5 from normal populations with the same variance, S21 / ...Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.49. There are many problems, particularly in industrial applications, in which we are interested in the proportion of a population that lies between certain limits. Such limits are called tolerance limits. The following steps ...A random sample of size n = 81 is taken from an infinite population with the mean µ = 128 and the standard deviation σ = 6.3. With what probability can we assert that the value we obtain for X will not fall between 126.6 ...Post your question