# Advanced

**1)** What are the Factorial Numbers ?

**2)** Can you describe the word 'Fewer' ?

**3)** Can you describe what a Weighted Average is ?

**4)** What is Standard Deviation ?

**5)** What is the Sharpe Ratio ?

**6)** What is R squared ?

**7)** Can you give the names of some measures of central tendency ?

**8)** Can you give the names of some measures of dispersion ?

**9)** Can you describe Brownian Motion ?

This is the random motion of particles in a fluid resulting from their collision with the fast moving atoms in the fluid.

This is a continuous-time random (stochastic) process and it is a limit of both simpler and more complicated random processes (random walk and Donsker theorem)

Brownian motion is described by the wiener process

**10)** Can you describe Geometric Brownian Motion ?

**11)** There's a horse race with 25 horses and 5 lanes. What's the minimum number of races you need to find the fastest three horses?

**12)** There are 100 prisoners in a cell and you are the warden and you have one bullet. How can you prevent all of them from escaping?

**13)** You toss a fair coin 400 times. What's the probability that you get at least 220 heads? Round your answer to the nearest per cent.

**14)** We are at a junction. P is the probability that at least one car will pass in the next 20 minutes. What's the probability that no car will pass in the next five minutes?

**15)** 10 people of different ages sit around a table. What's the probability that they sit in an age-ascending order?

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