Problem 13E

If X is χ2(23), find the following:

(a) P(14.85 < X < 32.01).

(b) Constants a and b such that P(a < X < b) = 0.95 and P(X < a) = 0.025.

(c) The mean and variance of X.

Step 1 of 5:

Given that X has a distribution with 23 degrees of freedom.That is n=23.

Therefore mean of X is 23 and variance of X is 2*23=46. That is =23 and =46.

Standard deviation of X becomes =6.7823.That is =6.7823.