Find the volume of the following ellipsoid using Monte Carlo Quadrature (hit or miss integration) by MATLAB.

where and .

(a) Denoting the number of trials by n, use n = 50,000 to find an estimate for the volume. What are the 99% confidence interval and its width?

(b) If the width of 99% confidence interval to be about 0.1% of the required volume, what value for n should be used?

(c) Use the value of n in (b) to do the quadrature again, Give the estimated volume together with the 99% confidence interval.

(r-d)2 , (y-e)2 , (z-f)2 (r-d)2 , (y-e)2 , (z-f)2