# Question: If X is the number of 7 s obtained when rolling

If X is the number of 7’s obtained when rolling a pair of dice three times, find the probability that Y = X2 will exceed 2.

## Answer to relevant Questions

If, d, the diameter of a circle is selected at random from the density function (a) Find the value of k so that f(d) is a probability density; (b) Find the density function of the areas of the circles so selected. If X has a hypergeometric distribution with M = 3, N = 6, and n = 2, find the probability distribution of Y, the number of successes minus the number of failures. Show that the variance of the finite population {c1, c2, . . . , cN} can be written as Also, use this formula to recalculate the variance of the finite population of Exercise 8.16. Show that if X1, X2, . . . , Xn are independent random variables having the chi-square distribution with v = 1 and Yn = X1 + X2 + · · · + Xn, then the limiting distribution of As n → ∞ is the standard normal ...Show that for v2 > 2 the mean of the F distribution is v2 / v2 – 2, making use of the definition of F in Theorem 8.14 and the fact that for a random variable V having the chi-square distribution with v2 degrees of freedom, ...Post your question