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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6010 • Linear Models

Spring 2016 • Question 12

Question

Math 6010 • Linear Models Spring 2016 • Question 12

The distance in feet by which a parachutist misses a target is \(D=\sqrt {X_1^2+X_2^2}\), where \(X_1\) and \(X_2\) are independent with \(X_i\sim N(0,25)\). Find \(\Prob (D\leq 12.25)\) (you can write down an integral for it, you don’t need to evaluate it).

Raw LaTeX

The distance in feet by which a parachutist misses a target is
\(D=\sqrt{X_1^2+X_2^2}\), where \(X_1\) and \(X_2\) are independent with
\(X_i\sim \N(0,25)\). Find \(\Prob(D\leq 12.25)\) (you can write down an integral
for it, you don't need to evaluate it).

Topic Tags

Covariance and Independence Uniform Integrability and Truncation Methods