Question

Assume that the distance at which Mr Jay throws a weight, X, be distributed as a Rayleigh variable with parameter σ=10m.

Answer the following questions, rounding your answers to 4 digits.

2 a) Numerical
What is the expected value of X?

2 b) Numerical
What is the variance of X?  

2 c) Algebraic
Enter the formula of the quantile function 1/F(m) , the function solving x: F(x)=m. You can use any symbol for the variables.

2 d) Numerical

If the world record is 13.3m, what is the probability that Jay will break it?

2 e) Numerical
Give P(8<X<=12)

Answer 1